Antontsev, Stanislav Nikolaevich

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Total publications: 16
Scientific articles: 16

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Antontsev, Stanislav Nikolaevich

Doctor of physico-mathematical sciences (1982)
Speciality: 01.01.03 (Mathematical physics)
Birth date: 29.09.1943
Phone: +351 919 204 034
Fax: +351 (217) 954 288
E-mail: ,
Keywords: nonlinear PDEs, application to continuum mechanics, PDEs with nonstandart growth conditions.
UDC: 517.957, 517.956.4, 517.946, 537.312.6, 517.9, 532.540.013


Nonlinear PDEs and their application to continuum mechanics, Free boundary problems for nonlinear PDEs.
Mathematical models for hydrodynamics and multiphase filtration (systems of the type: water-petroleum, gas-water-petroleum).
Mathematical models of hydrological cycle (processes of mass transport in coupled flows of surface, soil and underground water).


Current Position: Senior Researcher. CMAF, University of Lisbon, Portugal. (15.06.2009–present).
01.06.2007&ndash14.06.2009, CMAF, University of Lisbon. Schólarship of FCT (FCT is Fundação para a Ciência e a Tecnologia, Portugal).
In the period 01.06.2006–31.05.2007 — Sabbatical Professor at the Department of Applied Mathematics, University Complutense, Madrid ("Programa de Visitantes Distinguidos e Investigadores Extranjeros en la UCM" financed by the Ministry of Education and Science, Spain).
Full Visiting Professor, University of Beira Interior, Portugal (04.09.1995–2007, since 01.10.2005 with remunerate 0%).
1993–2000, Senior Leading Researcher of the Filtration Department of the Lavrentievs Institute of Hydrodynamics of Siberian Branch of Academy of Sciences of U.S.S.R., Novosibirsk.
1992–1994, Visiting Professor, Scholarship of FICYT, University of Oviedo, Oviedo, Spain, (FICYT is Fundacion para el Fomento de Investigation Cientifica y Technologia).
1976–1993, Chairman of the Filtration Department of the Lavrentievs Institute of Hydrodynamics of Siberian Branch of Academy of Sciences of U.S.S.R., Novosibirsk.
1968–1976, Senior Leading Researcher of the Theoretical Department of the Lavrentievs Institute of Hydrodynamics of Siberian Branch of Academy of Sciences of U.S.S.R., Novosibirsk.

University of Beira Interior, Covilhã, Portugal. 1995–2005. Full Visiting Professor (full-time).
University of Oviedo, Asturias, Spain. 1992–1994. Visiting Professor, (scholarshipfellow of FICYT, at the University of Oviedo, Asturias, Spain).
Novosibirsk State University, Novosibirsk, Russia. 1983–1993, Full Professor of the Chair of Theoretical Mechanics (part time), 1969–1983, Associate Professor (part-time), 1968–1969, Assistant Professor (part-time).

Main publications:
  1. Antontsev S. N., Dias J. I., Shmarev S. I., Energy methods for free boundary problems: Applications to nonlinear PDEs and fluid mechanics, Progress in Nonlinear Differential Equations and their Aplications, 48, Birkhäuser Boston, Inc., Boston, MA, 2002, xii+330 pp.  mathscinet
  2. Antontsev S. N., Kazhikhov A. V., Monakhov V. N., Boundary value problems in mechanics of nonhomogeneous fluids, Studies in Mathematics and its Applications, 22, North-Holland Publishing Co., Amsterdam, 1990, xii+309 pp.  mathscinet
  3. Antontsev S. N., Shmarev S.I.,, Handbook of Differential Equations, Stationary Partial Differential Equations, Vol. 3. Chapter 1, Elliptic equations with anisotropic nonlinearity and nonstandard growth conditions, Elsevier, 2006, 110 pp. (Russian)
  4. Antontsev S. N., Localization of solutions of degenerate equations of continuum mechanics, Akad. Nauk SSSR, Sibirsk. Otdel., Inst. Gidrodinamiki, Novosibirsk, 1986, 109 pp. (Russian)  mathscinet [Lokalizatsiya reshenii vyrozhdayushchikhsya uravnenii mekhaniki sploshnoi sredy]
  5. Antontsev S. N., Epikhov G. P., Kashevarov A. A., Systematic mathematical modeling of water exchange processes, Nauka, Sibirsk. Otdel., Novosibirsk, 1986, 216 pp. (Russian)  mathscinet  zmath [Sistemnoe matematicheskoe modelirovanie protsessov vodoobmena]
List of publications on Google Scholar
List of publications on ZentralBlatt
Full list of publications: Download file (95 kB)

Publications in Math-Net.Ru
1. S. N. Antontsev, I. V. Kuznetsov, “Existence of entropy measure-valued solutions for forward-backward $p$-parabolic equations”, Sib. Èlektron. Mat. Izv., 14 (2017),  774–793  mathnet  isi
2. S. Antontsev, S. Shmarev, “On the blow-up of solutions to anisotropic parabolic equations with variable nonlinearity”, Tr. Mat. Inst. Steklova, 270 (2010),  33–48  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 270 (2010), 27–42  isi  elib  scopus
3. S. N. Antontsev, S. I. Shmarev, “Extinction of Solutions of Parabolic Equations with Variable Anisotropic Nonlinearities”, Tr. Mat. Inst. Steklova, 261 (2008),  16–25  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 261 (2008), 11–21  isi  elib  scopus
4. S. N. Antontsev, S. I. Shmarev, “Existence and uniqueness of solutions of degenerate parabolic equations with variable exponents of nonlinearity”, Fundam. Prikl. Mat., 12:4 (2006),  3–19  mathnet  mathscinet  zmath  elib; J. Math. Sci., 150:5 (2008), 2289–2301  elib  scopus
5. S. N. Antontsev, S. I. Shmarev, “On localization of solutions of elliptic equations with nonhomogeneous anisotropic degeneracy”, Sibirsk. Mat. Zh., 46:5 (2005),  963–984  mathnet  mathscinet  zmath; Siberian Math. J., 46:5 (2005), 765–782  isi
6. S. N. Antontsev, M. Shipo, “Analytic regimes with peaking in the thermistor problem”, Sibirsk. Mat. Zh., 38:5 (1997),  963–977  mathnet  mathscinet  zmath; Siberian Math. J., 38:5 (1997), 827–841  isi
7. S. N. Antontsev, A. A. Kashevarov, “Splitting according to physical properties in the problem of interrelation between surface and underground water”, Dokl. Akad. Nauk SSSR, 288:1 (1986),  86–90  mathnet  mathscinet
8. S. N. Antontsev, “On the localization of solutions of nonlinear degenerate elliptic and parabolic equations”, Dokl. Akad. Nauk SSSR, 260:6 (1981),  1289–1293  mathnet  mathscinet  zmath
9. S. N. Antontsev, “A finite velocity of propagation of disturbances in multidimensional two-phase filtration-problems”, Zap. Nauchn. Sem. LOMI, 96 (1980),  3–12  mathnet  mathscinet  zmath; J. Soviet Math., 21:5 (1983), 637–644
10. S. N. Antontsev, A. A. Papin, “Approximation methods of solving problems of two-phase filtration”, Dokl. Akad. Nauk SSSR, 247:3 (1979),  521–525  mathnet  mathscinet  zmath
11. S. N. Antontsev, V. N. Monakhov, “Three-dimensional problems of time-dependent two-phase filtration in nonhomogeneous anisotropic porous media”, Dokl. Akad. Nauk SSSR, 243:3 (1978),  553–556  mathnet  mathscinet  zmath
12. S. N. Antontsev, A. M. Meirmanov, “Questions of correctness of a model of the simultaneous motion of surface and ground waters”, Dokl. Akad. Nauk SSSR, 242:3 (1978),  505–508  mathnet  mathscinet
13. S. N. Antontsev, “On a problem of M. A. Lavrent'ev”, Dokl. Akad. Nauk SSSR, 228:4 (1976),  772–775  mathnet  mathscinet  zmath
14. S. N. Antontsev, “Axisymmetric problems of gas dynamics with free boundaries”, Dokl. Akad. Nauk SSSR, 216:3 (1974),  473–476  mathnet  mathscinet  zmath
15. S. N. Antontsev, V. N. Monakhov, “On the solvability of a class of conjugacy problems with shift”, Dokl. Akad. Nauk SSSR, 205:2 (1972),  263–266  mathnet  mathscinet  zmath
16. S. N. Antontsev, V. N. Monakhov, “Riemann–Hilbert boundary value problem with discontinuous boundary conditions for quasi-linear elliptic systems of equations”, Dokl. Akad. Nauk SSSR, 175:3 (1967),  511–513  mathnet  mathscinet  zmath

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