In main spectr of my research interests are the blowup results for sobolev type equations.
Main publications:
A. B. Alshin, M. O. Korpusov, A. G. Sveshnikov, Blow-up in nonlinear Sobolev type equations, Series in nonlinear analisys and applications, 15, De Gruyter, 2011, 648 с.
M. O. Korpusov, A. G. Sveshnikov, Nelineinyi funktsionalnyi analiz i matematicheskoe modelirovanie v fizike, т. I, Geometricheskie i topologicheskie svoistva lineinykh prostranstv, URSS, 2011, 416 с.
M. O. Korpusov, A. G. Sveshnikov, Nelineinyi funktsionalnyi analiz i matematicheskoe modelirovanie v fizike, т. II, Metody issledovaniya nelineinykh operatorov, URSS, 2011, 480 с.
M. O. Korpusov, Razrushenie v nelineinykh volnovykh uravneniyakh s polozhitelnoi energiei, URSS, 2012, 256 с.
M. O. Korpusov, Razrushenie v parabolicheskikh i psevdoparabolicheskikh uravneniyakh s dvoinymi nelineinostyami, URSS, 2012, 184 с.
M. O. Korpusov, A. A. Panin, “On the global solvability in time of a system of equations of an ambipolar diffusion with heating”, Mat. Zametki, 118:5 (2025), 739–747
2.
M. V. Artemeva, M. O. Korpusov, A. K. Matveeva, “Blow-up of solutions of the Сauchy problem for the doubly nonlinear equation of a thermoelectric model”, Mat. Zametki, 118:2 (2025), 169–176; Math. Notes, 118:2 (2025), 215–221
3.
M. O. Korpusov, A. A. Panin, A. K. Matveeva, “Blow-up of the solution to the Cauchy problem for one $(N+1)$-dimensional composite-type equation with gradient nonlinearity”, TMF, 225:1 (2025), 138–158; Theoret. and Math. Phys., 225:1 (2025), 1811–1829
M. V. Artemeva, M. O. Korpusov, A. A. Panin, “On the solvability of the Cauchy problem for a thermal–electrical model”, TMF, 222:2 (2025), 217–232; Theoret. and Math. Phys., 222:2 (2025), 183–197
M. O. Korpusov, V. M. Ozornin, A. A. Panin, “On time-global solvability of the Cauchy problem for one nonlinear equation of the drift-diffusion model of a semiconductor”, Zh. Vychisl. Mat. Mat. Fiz., 65:8 (2025), 1351–1372; Comput. Math. Math. Phys., 65:8 (2025), 1848–1871
6.
M. O. Korpusov, “On time-global solvability of one Cauchy problem for a nonlinear equation of composite type of the heat-electric model”, Zh. Vychisl. Mat. Mat. Fiz., 65:8 (2025), 1328–1350; Comput. Math. Math. Phys., 65:8 (2025), 1823–1847
M. O. Korpusov, V. M. Ozornin, “On the destruction of solutions to Cauchy problems for nonlinear ferrite equations in $(N + 1)$-dimensional case”, Zh. Vychisl. Mat. Mat. Fiz., 65:4 (2025), 471–493; Comput. Math. Math. Phys., 65:4 (2025), 765–789
M. V. Artemeva, M. O. Korpusov, “On the Existence of a Nonextendable Solution of the Cauchy problem for a $(1+1)$-Dimensional Thermal-Electrical Model”, Mat. Zametki, 115:5 (2024), 645–657; Math. Notes, 115:5 (2024), 653–663
9.
M. V. Artemeva, M. O. Korpusov, “On the existence of a nonextendable solution of the Cauchy problem for a $(3+1)$-dimensional thermal–electrical model”, TMF, 221:3 (2024), 702–715; Theoret. and Math. Phys., 221:3 (2024), 2207–2218
M. V. Artemeva, M. O. Korpusov, “On the blow-up of the solution of a $(1+1)$-dimensional thermal–electrical model”, TMF, 219:2 (2024), 249–262; Theoret. and Math. Phys., 219:2 (2024), 748–760
M. O. Korpusov, M. V. Artemeva, “On calculating of functional derivative for an optimal control problem”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 17:2 (2024), 51–67
12.
M. O. Korpusov, R. S. Shafir, A. K. Matveeva, “Numerical diagnostics of solution blow-up in a thermoelectric semiconductor model”, Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024), 1314–1322; Comput. Math. Math. Phys., 64:7 (2024), 1595–1602
2023
13.
M. O. Korpusov, A. Yu. Perlov, A. V. Tymoshenko, R. S. Shafir, “On the Blow-Up of the Solution of a Nonlinear System of Equations of a Thermal-Electrical Model”, Mat. Zametki, 114:5 (2023), 759–772; Math. Notes, 114:5 (2023), 850–861
M. O. Korpusov, A. Yu. Perlov, A. V. Tymoshenko, R. S. Shafir, “Global-in-time solvability of a nonlinear system of equations of a thermal–electrical model with quadratic nonlinearity”, TMF, 217:2 (2023), 378–390; Theoret. and Math. Phys., 217:2 (2023), 1743–1754
M. O. Korpusov, E. A. Ovsyannikov, “Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: III. Cauchy problems”, Zh. Vychisl. Mat. Mat. Fiz., 63:7 (2023), 1109–1127; Comput. Math. Math. Phys., 63:7 (2023), 1218–1236
M. O. Korpusov, A. K. Matveeva, “On critical exponents for weak solutions of the Cauchy problem for a $(2+1)$-dimensional nonlinear composite-type equation with gradient nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 1006–1021; Comput. Math. Math. Phys., 63:6 (2023), 1070–1084
M. V. Artem'eva, M. O. Korpusov, “Blow-up of solutions and local solvability of an abstract Cauchy problem of second order with a noncoercive source”, Zh. Vychisl. Mat. Mat. Fiz., 63:4 (2023), 573–583; Comput. Math. Math. Phys., 63:4 (2023), 542–552
M. O. Korpusov, E. A. Ovsyannikov, “Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: II. Potential theory”, Zh. Vychisl. Mat. Mat. Fiz., 63:2 (2023), 282–316; Comput. Math. Math. Phys., 63:2 (2023), 250–284
M. O. Korpusov, R. S. Shafir, “On the blowup of solutions of the Cauchy problem for nonlinear equations of ferroelectricity theory”, TMF, 212:3 (2022), 327–339; Theoret. and Math. Phys., 212:3 (2022), 1169–1180
M. O. Korpusov, E. A. Ovsyannikov, “Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations: I. Green formulas”, Zh. Vychisl. Mat. Mat. Fiz., 62:10 (2022), 1639–1661; Comput. Math. Math. Phys., 62:10 (2022), 1609–1631
M. O. Korpusov, R. S. Shafir, “Blow-up of weak solutions of the Cauchy problem for $(3+1)$-dimensional equation of plasma drift waves”, Zh. Vychisl. Mat. Mat. Fiz., 62:1 (2022), 124–158; Comput. Math. Math. Phys., 62:1 (2022), 117–149
M. O. Korpusov, A. K. Matveeva, “On critical exponents for weak solutions of the Cauchy problem for a non-linear equation of composite type”, Izv. RAN. Ser. Mat., 85:4 (2021), 96–136; Izv. Math., 85:4 (2021), 705–744
M. O. Korpusov, A. A. Panin, A. E. Shishkov, “On the critical exponent “instantaneous blow-up” versus “local solubility” in the Cauchy problem for a model equation of Sobolev type”, Izv. RAN. Ser. Mat., 85:1 (2021), 118–153; Izv. Math., 85:1 (2021), 111–144
M. O. Korpusov, “Nonlinear equations of the theory of ion-sound plasma waves”, Zh. Vychisl. Mat. Mat. Fiz., 61:11 (2021), 1927–1936; Comput. Math. Math. Phys., 61:11 (2021), 1886–1894
M. O. Korpusov, D. K. Yablochkin, “Potential theory and Schauder estimate in Hölder spaces for $(3 + 1)$-dimensional Benjamin–Bona–Mahoney–Burgers equation”, Zh. Vychisl. Mat. Mat. Fiz., 61:8 (2021), 1309–1335; Comput. Math. Math. Phys., 61:8 (2021), 1289–1314
M. O. Korpusov, “Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source”, Izv. RAN. Ser. Mat., 84:5 (2020), 119–150; Izv. Math., 84:5 (2020), 930–959
M. O. Korpusov, E. A. Ovsyannikov, “Blow-up instability in non-linear wave models with distributed parameters”, Izv. RAN. Ser. Mat., 84:3 (2020), 15–70; Izv. Math., 84:3 (2020), 449–501
M. O. Korpusov, G. I. Shlyapugin, “On blow-up of solutions of the Cauchy problems for a class of nonlinear equations of ferrite theory”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 185 (2020), 79–131
M. O. Korpusov, A. N. Levashov, D. V. Lukyanenko, “Analytical-numerical study of finite-time blow-up of the solution to the initial-boundary value problem for the nonlinear Klein–Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 60:9 (2020), 1503–1512; Comput. Math. Math. Phys., 60:9 (2020), 1452–1460
M. O. Korpusov, A. A. Panin, “Instantaneous blow-up versus local solubility of the Cauchy problem for a two-dimensional equation
of a semiconductor with heating”, Izv. RAN. Ser. Mat., 83:6 (2019), 104–132; Izv. Math., 83:6 (2019), 1174–1200
V. A. Vasil'chenko, M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, “A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches”, Num. Meth. Prog., 20:3 (2019), 323–336
M. O. Korpusov, A. K. Matveeva, D. V. Lukyanenko, “Diagnostics of instant decomposition of solution in the nonlinear equation of theory of waves in semiconductors”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 12:4 (2019), 104–113
35.
M. O. Korpusov, D. K. Yablochkin, “Potential theory for a nonlinear equation of the Benjamin–Bona–Mahoney–Burgers type”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1915–1947; Comput. Math. Math. Phys., 59:11 (2019), 1848–1880
M. O. Korpusov, “On an instantaneous blow-up of solutions of evolutionary problems on the half-line”, Izv. RAN. Ser. Mat., 82:5 (2018), 61–77; Izv. Math., 82:5 (2018), 914–930
M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, E. V. Yushkov, “Blow-up of solutions of a full non-linear equation of ion-sound waves
in a plasma with non-coercive non-linearities”, Izv. RAN. Ser. Mat., 82:2 (2018), 43–78; Izv. Math., 82:2 (2018), 283–317
M. O. Korpusov, “Solution blowup for nonlinear equations of the Khokhlov–Zabolotskaya type”, TMF, 194:3 (2018), 403–417; Theoret. and Math. Phys., 194:3 (2018), 347–359
M. O. Korpusov, D. V. Lukyanenko, A. D. Nekrasov, “Analytic-numerical investigation of combustion in a nonlinear medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1553–1563; Comput. Math. Math. Phys., 58:9 (2018), 1499–1509
M. O. Korpusov, “Solution blow-up in a nonlinear system of equations with positive energy in field theory”, Zh. Vychisl. Mat. Mat. Fiz., 58:3 (2018), 447–458; Comput. Math. Math. Phys., 58:3 (2018), 425–436
E. V. Yushkov, M. O. Korpusov, “Gradient blow-up in generalized Burgers and Boussinesq equations”, Izv. RAN. Ser. Mat., 81:6 (2017), 232–242; Izv. Math., 81:6 (2017), 1286–1296
M. O. Korpusov, A. A. Panin, “On the Nonextendable Solution and Blow-Up of the Solution of the One-Dimensional Equation of Ion-Sound Waves in a Plasma”, Mat. Zametki, 102:3 (2017), 383–395; Math. Notes, 102:3 (2017), 350–360
M. O. Korpusov, E. V. Yushkov, “Global unsolvability of a nonlinear conductor model in the quasistationary approximation”, TMF, 191:1 (2017), 3–13; Theoret. and Math. Phys., 191:1 (2017), 471–479
M. O. Korpusov, D. V. Lukyanenko, E. A. Ovsyannikov, A. A. Panin, “Local solvability and decay of the solution of an equation with quadratic noncoercive nonlineatity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:2 (2017), 107–123
M. O. Korpusov, S. G. Mikhailenko, “Instantaneous blow-up of classical solutions to the Cauchy problem for the Khokhlov–Zabolotskaya equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017), 1170–1175; Comput. Math. Math. Phys., 57:7 (2017), 1167–1172
M. O. Korpusov, “The finite-time blowup of the solution of an initial boundary-value
problem for the nonlinear equation of ion sound waves”, TMF, 187:3 (2016), 447–454; Theoret. and Math. Phys., 187:3 (2016), 835–841
M. O. Korpusov, S. G. Mikhailenko, “Blowup of the solution to the Cauchy problem with arbitrary positive energy for a system of Klein–Gordon equations in the de Sitter metric”, Zh. Vychisl. Mat. Mat. Fiz., 56:10 (2016), 1775–1779; Comput. Math. Math. Phys., 56:10 (2016), 1758–1762
M. O. Korpusov, “Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type”, Izv. RAN. Ser. Mat., 79:5 (2015), 103–162; Izv. Math., 79:5 (2015), 955–1012
E. V. Yushkov, M. O. Korpusov, “Global Unsolvability of One-Dimensional Problems for Burgers-Type Equations”, Mat. Zametki, 98:3 (2015), 448–462; Math. Notes, 98:3 (2015), 503–514
M. O. Korpusov, A. A. Panin, “Blow-up of solutions of an abstract Cauchy problem for a formally hyperbolic equation with double non-linearity”, Izv. RAN. Ser. Mat., 78:5 (2014), 91–142; Izv. Math., 78:5 (2014), 937–985
M. O. Korpusov, A. G. Sveshnikov, E. V. Yushkov, “Blow-up of solutions of non-linear equations of Kadomtsev–Petviashvili and Zakharov–Kuznetsov types”, Izv. RAN. Ser. Mat., 78:3 (2014), 79–110; Izv. Math., 78:3 (2014), 500–530
M. O. Korpusov, “On the Blow-Up of the Solution of an Equation Related to the Hamilton–Jacobi Equation”, Mat. Zametki, 93:1 (2013), 81–95; Math. Notes, 93:1 (2013), 90–101
M. O. Korpusov, “Solution blow-up for a class of parabolic equations with double nonlinearity”, Mat. Sb., 204:3 (2013), 19–42; Sb. Math., 204:3 (2013), 323–346
M. O. Korpusov, E. V. Yushkov, “Solution blowup for systems of shallow-water equations”, TMF, 177:2 (2013), 264–275; Theoret. and Math. Phys., 177:2 (2013), 1505–1514
M. O. Korpusov, A. A. Panin, “Local solvability and solution blowup for the Benjamin–Bona–Mahony–Burgers equation with a nonlocal boundary condition”, TMF, 175:2 (2013), 159–172; Theoret. and Math. Phys., 175:2 (2013), 580–591
M. O. Korpusov, “Blowup of solutions of nonlinear equations and systems of nonlinear equations in wave theory”, TMF, 174:3 (2013), 355–363; Theoret. and Math. Phys., 174:3 (2013), 307–314
M. O. Korpusov, “Blow-up of ion-sound waves in plasma with non-linear sources on the boundary”, Izv. RAN. Ser. Mat., 76:2 (2012), 103–140; Izv. Math., 76:2 (2012), 310–345
M. O. Korpusov, “On blowup of solutions to a Kirchhoff type dissipative wave equation with a source and positive energy”, Sibirsk. Mat. Zh., 53:4 (2012), 874–891; Siberian Math. J., 53:4 (2012), 702–717
M. O. Korpusov, “Solution blowup for the heat equation with double nonlinearity”, TMF, 172:3 (2012), 339–343; Theoret. and Math. Phys., 172:3 (2012), 1173–1176
M. O. Korpusov, “Blow-up of the solution of a nonlinear system of equations with
positive energy”, TMF, 171:3 (2012), 355–369; Theoret. and Math. Phys., 171:3 (2012), 725–738
M. O. Korpusov, “Blowup of a positive-energy solution of model wave equations in nonlinear dynamics”, TMF, 171:1 (2012), 3–17; Theoret. and Math. Phys., 171:1 (2012), 421–434
M. O. Korpusov, “Blowup of solutions of the three-dimensional Rosenau–Burgers equation”, TMF, 170:3 (2012), 342–349; Theoret. and Math. Phys., 170:3 (2012), 280–286
M. O. Korpusov, “The Destruction of the Solution of the Nonlocal Equation with Gradient Nonlinearity”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2012, no. 11, 43–53
M. O. Korpusov, “Blow up of ion-acoustic waves in plasma with strong time-spatial dispertion”, Algebra i Analiz, 23:6 (2011), 96–130; St. Petersburg Math. J., 23:6 (2012), 989–1011
M. O. Korpusov, “On the blow-up of internal gravitational waves with non-linear sources”, Izv. RAN. Ser. Mat., 75:4 (2011), 29–48; Izv. Math., 75:4 (2011), 691–710
M. O. Korpusov, “On blowup of gravity-gyroscopic waves with nonlinear sources and sinks on the boundary”, Mat. Tr., 14:2 (2011), 83–126; Siberian Adv. Math., 22:3 (2012), 161–191
69.
M. O. Korpusov, “Blow-up of ion acoustic waves in a plasma”, Mat. Sb., 202:1 (2011), 37–64; Sb. Math., 202:1 (2011), 35–60
M. O. Korpusov, “On blowup of solutions to a system of equations of ion sound waves in plasma”, Sibirsk. Mat. Zh., 52:3 (2011), 600–614; Siberian Math. J., 52:3 (2011), 471–483
M. O. Korpusov, “Destruction of solutions of wave equations in systems with distributed parameters”, TMF, 167:2 (2011), 206–213; Theoret. and Math. Phys., 167:2 (2011), 577–583
M. O. Korpusov, A. G. Sveshnikov, “On a nonlinear eigenmode problem in semiconductor theory”, Zh. Vychisl. Mat. Mat. Fiz., 51:5 (2011), 872–880; Comput. Math. Math. Phys., 51:5 (2011), 816–823
73.
M. O. Korpusov, “On the uniqueness of the solution of a nonlinear eigenmode problem”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 642–646; Comput. Math. Math. Phys., 51:4 (2011), 597–601
74.
M. O. Korpusov, A. G. Sveshnikov, “Finite-time relaxation of the solution of a nonlinear pseudoparabolic equation”, Zh. Vychisl. Mat. Mat. Fiz., 51:3 (2011), 407–435; Comput. Math. Math. Phys., 51:3 (2011), 377–403
M. O. Korpusov, A. G. Sveshnikov, “Solution blow-up for a new stationary Sobolev-type equation”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 876–893; Comput. Math. Math. Phys., 50:5 (2010), 831–847
M. O. Korpusov, A. G. Sveshnikov, “One application of the energy method of a H.A. Levine”, Vestnik Chelyabinsk. Gos. Univ., 2009, no. 11, 48–53
2008
78.
M. O. Korpusov, A. G. Sveshnikov, “Sufficient conditions for the blowup of a solution to the Boussinesq equation subject to a nonlinear Neumann boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 2042–2045; Comput. Math. Math. Phys., 48:11 (2008), 2077–2080
M. O. Korpusov, A. G. Sveshnikov, “An initial-boundary value problem for a Sobolev-type strongly nonlinear dissipative equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:10 (2008), 1860–1877; Comput. Math. Math. Phys., 48:10 (2008), 1857–1874
M. O. Korpusov, A. G. Sveshnikov, “Sufficient close-to-necessary conditions for the blowup of solutions to a strongly nonlinear generalized Boussinesq equation”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1629–1637; Comput. Math. Math. Phys., 48:9 (2008), 1591–1599
A. B. Alshin, M. O. Korpusov, E. V. Yushkov, “Traveling-wave solution to a nonlinear equation in semiconductors with strong spatial dispersion”, Zh. Vychisl. Mat. Mat. Fiz., 48:5 (2008), 808–812; Comput. Math. Math. Phys., 48:5 (2008), 764–768
M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of nonlinear Sobolev type equations with cubic sources”, Differ. Uravn., 42:3 (2006), 404–415; Differ. Equ., 42:3 (2006), 431–443
M. O. Korpusov, A. G. Sveshnikov, ““Destruction” of the solution of a strongly nonlinear equation of pseudoparabolic type with double nonlinearity”, Mat. Zametki, 79:6 (2006), 879–899; Math. Notes, 79:6 (2006), 820–840
M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of abstract Cauchy problems for nonlinear operator-differential equations”, Dokl. Akad. Nauk, 401:1 (2005), 12–15
M. O. Korpusov, “Blow-Up of the Solution of an Initial-Boundary Value Problem for a Nonhomogeneous Equation of Pseudoparabolic Type”, Differ. Uravn., 41:6 (2005), 832–835; Differ. Equ., 41:6 (2005), 873–877
M. O. Korpusov, “Global Solvability Conditions for an Initial-Boundary Value Problem for a Nonlinear Equation of Pseudoparabolic Type”, Differ. Uravn., 41:5 (2005), 678–685; Differ. Equ., 41:5 (2005), 712–720
M. O. Korpusov, A. G. Sveshnikov, “Blow-up of solutions of a class of strongly non-linear dissipative wave
equations of Sobolev type with sources”, Izv. RAN. Ser. Mat., 69:4 (2005), 89–128; Izv. Math., 69:4 (2005), 733–770
M. O. Korpusov, A. G. Sveshnikov, “On the “Destruction” of Solutions of Nonlinear Wave Equations of Sobolev Type with Cubic Sources”, Mat. Zametki, 78:4 (2005), 559–578; Math. Notes, 78:4 (2005), 518–536
M. O. Korpusov, A. G. Sveshnikov, “On a necessary and sufficient condition for a blowing up of a solution to a mixed boundary problem for a certain nonlinear equation of Sobolev type”, Sib. Èlektron. Mat. Izv., 2 (2005), 145–155
90.
M. O. Korpusov, A. G. Sveshnikov, “On blowup of a solution to a Sobolev-type equation with a nonlocal source”, Sibirsk. Mat. Zh., 46:3 (2005), 567–578; Siberian Math. J., 46:3 (2005), 443–452
M. O. Korpusov, A. G. Sveshnikov, “On the finite-time blowup of solutions to initial–boundary value problems for pseudoparabolic equations with pseudo-Laplacian”, Zh. Vychisl. Mat. Mat. Fiz., 45:2 (2005), 272–286; Comput. Math. Math. Phys., 45:2 (2005), 261–274
M. O. Korpusov, A. G. Sveshnikov, “On the blowup of solutions to semilinear pseudoparabolic equations with rapidly growing nonlinearities”, Zh. Vychisl. Mat. Mat. Fiz., 45:1 (2005), 145–155; Comput. Math. Math. Phys., 45:1 (2005), 138–148
M. O. Korpusov, “Blow-up of solutions of a class of strongly non-linear equations of Sobolev type”, Izv. RAN. Ser. Mat., 68:4 (2004), 151–204; Izv. Math., 68:4 (2004), 783–832
M. O. Korpusov, A. G. Sveshnikov, “On the blow-up of the solution of an initial-boundary value problem for a nonlinear nonlocal equation of pseudo-parabolic type”, Zh. Vychisl. Mat. Mat. Fiz., 44:12 (2004), 2212–2219; Comput. Math. Math. Phys., 44:12 (2004), 2104–2111
95.
M. O. Korpusov, A. G. Sveshnikov, “Three-dimensional nonlinear evolutionary pseudoparabolic equations in mathematical physics. II”, Zh. Vychisl. Mat. Mat. Fiz., 44:11 (2004), 2041–2048; Comput. Math. Math. Phys., 44:11 (2004), 1942–1948
M. O. Korpusov, “Finite-Time Blow-Up of the Solution of the Cauchy Problem for the Pseudoparabolic Equation $Au_t=F(u)$”, Differ. Uravn., 39:1 (2003), 78–83; Differ. Equ., 39:1 (2003), 83–89
97.
M. O. Korpusov, A. G. Sveshnikov, “Three-dimensional nonlinear evolution equations of pseudoparabolic type in problems of mathematical physics”, Zh. Vychisl. Mat. Mat. Fiz., 43:12 (2003), 1835–1869; Comput. Math. Math. Phys., 43:12 (2003), 1765–1797
M. O. Korpusov, “Conditions for the global solvability of the Cauchy problem for a semilinear equation of pseudoparabolic type”, Zh. Vychisl. Mat. Mat. Fiz., 43:8 (2003), 1210–1222; Comput. Math. Math. Phys., 43:8 (2003), 1159–1171
99.
M. O. Korpusov, A. G. Sveshnikov, “On the solvability of strongly nonlinear pseudoparabolic equation with double nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 43:7 (2003), 987–1004; Comput. Math. Math. Phys., 43:7 (2003), 944–961
M. O. Korpusov, A. G. Sveshnikov, “On the existence of a solution to the Laplace equation with a nonlinear dynamic boundary condition”, Zh. Vychisl. Mat. Mat. Fiz., 43:1 (2003), 95–110; Comput. Math. Math. Phys., 43:1 (2003), 92–107
M. O. Korpusov, “Blow-up of a solution of a pseudoparabolic equation with the time derivative of a nonlinear elliptic operator”, Zh. Vychisl. Mat. Mat. Fiz., 42:12 (2002), 1788–1795; Comput. Math. Math. Phys., 42:12 (2002), 1717–1724
M. O. Korpusov, A. G. Sveshnikov, “Energy estimate of the solution to a nonlinear pseudoparabolic equation at $t\to\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002), 1200–1206; Comput. Math. Math. Phys., 42:8 (2002), 1154–1160
M. O. Korpusov, “Global solvability of an initial-boundary value problem for a system of semilinear equations”, Zh. Vychisl. Mat. Mat. Fiz., 42:7 (2002), 1039–1050; Comput. Math. Math. Phys., 42:7 (2002), 1000–1011
M. O. Korpusov, “Global solvability of pseudoparabolic nonlinear equations and blow-up of their solutions”, Zh. Vychisl. Mat. Mat. Fiz., 42:6 (2002), 849–866; Comput. Math. Math. Phys., 42:6 (2002), 814–831
M. O. Korpusov, A. G. Sveshnikov, “$\mathbb L^p$-stimates for solutions to initial and initial-boundary value problems for a semilinear system of reaction-diffusion equations in the limit of $t\to+\infty$”, Zh. Vychisl. Mat. Mat. Fiz., 42:1 (2002), 53–75; Comput. Math. Math. Phys., 42:1 (2002), 49–71
2001
106.
M. O. Korpusov, A. G. Sveshnikov, “On an initial-boundary value problem in magnetic hydrodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 41:11 (2001), 1734–1741; Comput. Math. Math. Phys., 41:11 (2001), 1651–1658
107.
M. O. Korpusov, “On the global solvability of the initial-boundary value problem for a composite-type nonlinear equation”, Zh. Vychisl. Mat. Mat. Fiz., 41:6 (2001), 959–964; Comput. Math. Math. Phys., 41:6 (2001), 910–914
M. O. Korpusov, A. G. Sveshnikov, “On the asymptotic behavior of the solution to the Cauchy problem for the system of equations of ambipolar diffusion”, Zh. Vychisl. Mat. Mat. Fiz., 41:5 (2001), 783–795; Comput. Math. Math. Phys., 41:5 (2001), 738–750
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation”, Zh. Vychisl. Mat. Mat. Fiz., 41:4 (2001), 641–647; Comput. Math. Math. Phys., 41:4 (2001), 602–608
M. O. Korpusov, A. G. Sveshnikov, “Blowup in a finite time of the solution to the initial-boundary value problem for a semilinear composite type equation”, Zh. Vychisl. Mat. Mat. Fiz., 40:11 (2000), 1716–1724; Comput. Math. Math. Phys., 40:11 (2000), 1647–1654
L. V. Perova, Yu. D. Pletner, A. G. Sveshnikov, M. O. Korpusov, “Long-time asymptotics of an initial-boundary value problem for the two-dimensional Sobolev equation”, Differ. Uravn., 35:10 (1999), 1421–1425; Differ. Equ., 35:10 (1999), 1443–1447
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Asymptotics of the fundamental solution to the equation of two-dimensional internal waves and quasi-front phenomenon”, Zh. Vychisl. Mat. Mat. Fiz., 39:9 (1999), 1552–1557; Comput. Math. Math. Phys., 39:9 (1999), 1487–1492
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Unsteady waves in anisotropic dispersive media”, Zh. Vychisl. Mat. Mat. Fiz., 39:6 (1999), 1006–1022; Comput. Math. Math. Phys., 39:6 (1999), 968–984
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Oscillation of a set of curvilinear segments in a stratified fluid”, Zh. Vychisl. Mat. Mat. Fiz., 38:9 (1998), 1583–1591; Comput. Math. Math. Phys., 38:9 (1998), 1519–1526
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Unsteady waves in a stratified fluid excited by the variation of the normal velocity component on a line segment”, Zh. Vychisl. Mat. Mat. Fiz., 37:9 (1997), 1112–1121; Comput. Math. Math. Phys., 37:9 (1997), 1076–1085
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “Oscillation of a two-sided line segment in a stratified fluid”, Zh. Vychisl. Mat. Mat. Fiz., 37:8 (1997), 968–974; Comput. Math. Math. Phys., 37:8 (1997), 936–942
M. O. Korpusov, Yu. D. Pletner, A. G. Sveshnikov, “On the solvability of an initial-boundary value problem for the internal-wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 37:5 (1997), 617–620; Comput. Math. Math. Phys., 37:5 (1997), 602–605
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