Shargatov, Vladimir Anatol'evich

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Total publications: 9
Scientific articles: 9

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Senior Researcher
Candidate of physico-mathematical sciences
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Publications in Math-Net.Ru
1. V. A. Shargatov, A. P. Chugainova, “Stability analysis of traveling wave solutions of a generalized Korteweg–de Vries–Burgers equation with variable dissipation parameter”, J. Comput. Appl. Math., 397 (2021),  113654–17  mathnet  isi  scopus
2. A. T. Il'ichev, V. A. Shargatov, Y. B. Fu, “Characterization and dynamical stability of fully nonlinear strain solitary waves in a fluid-filled hyperelastic membrane tube”, Acta Mech., 231 (2020),  4095–4110  mathnet  mathscinet  isi  scopus
3. Vladimir A. Shargatov, Sergey V. Gorkunov, Andrej T. Il'ichev, “Stability of finite perturbations of the phase transition interface for one problem of water evaporation in a porous medium”, Appl. Math. Comput., 378 (2020),  152208–17  mathnet  mathscinet  isi  scopus
4. A. P. Chugainova, V. A. Shargatov, “Traveling waves and undercompressive shocks in solutions of the generalized Korteweg–de Vries–Burgers equation with a time-dependent dissipation coefficient distribution”, Eur. Phys. J. Plus, 135:8 (2020),  1–18  mathnet  isi  scopus
5. S. V. Gorkunov, A. T. Il'ichev, V. A. Shargatov, “Critical evolution of finite perturbations of a water evaporation surface in porous media”, Izv. Ross. Akad. Nauk Mekh. Zhidk. Gaza, 2020, 2,  61–69  mathnet  elib; Fluid Dyn., 55:2 (2020), 204–212  isi  scopus
6. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “On the Structure Stability of a Neutrally Stable Shock Wave in a Gas and on Spontaneous Emission of Perturbations”, Zh. Èksper. Teoret. Fiz., 158:3 (2020),  544–560  mathnet  elib; J. Exp. Theor. Phys., 131:3 (2020), 481–495  isi  scopus
7. V. A. Shargatov, A. T. Il'ichev, “Dynamics of Perturbations under Diffusion in a Porous Medium”, Trudy Mat. Inst. Steklova, 310 (2020),  309–321  mathnet  elib; Proc. Steklov Inst. Math., 310 (2020), 291–303  isi  scopus
8. A. P. Chugainova, V. A. Shargatov, “Study of nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation”, AIP Conf. Proc., 2164 (2019), 50002, 8 pp.  mathnet  isi  scopus
9. V. A. Shargatov, S. V. Gorkunov, A. T. Il'ichev, “Dynamics of front-like water evaporation phase transition interfaces”, Commun. Nonlinear Sci. Numer. Simul., 67 (2019),  223–236  mathnet  mathscinet  isi  scopus
10. A.P. Chugainova, V.A. Shargatov, “Analytical description of the structure of special discontinuities described by a generalized KdV–Burgers equation”, Commun. Nonlinear Sci. Numer. Simul., 66 (2019),  129–146  mathnet  mathscinet  isi
11. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Dokl. Akad. Nauk, 487:1 (2019),  28–31  mathnet  elib; Doklady Physics, 64:7 (2019), 293–296  isi  scopus
12. A. P. Chugainova, A. T. Il'ichev, V. A. Shargatov, “Stability of shock wave structures in nonlinear elastic media”, Math. Mech. Solids, 24:11 (2019),  3456–3471  mathnet  mathscinet  isi  scopus
13. A. P. Chugainova, V. A. Shargatov, S. V. Gorkunov, S. I. Sumskoi, “Regimes of shock wave propagation through comb-shaped obstacles”, AIP Conf. Proc., 2025 (2018), 80002  mathnet  isi  scopus
14. V. A. Shargatov, A. P. Chugainova, S. V. Gorkunov, S. I. Sumskoi, “Analytical and numerical solutions of the shock tube problem in a channel with a pseudo-perforated wall”, JPCS, 1099 (2018), 12013, 8 pp.  mathnet  scopus
15. V. A. Shargatov, A. P. Chugainova, S. V. Gorkunov, S. I. Sumskoi, “Flow structure behind a shock wave in a channel with periodically arranged obstacles”, Trudy Mat. Inst. Steklova, 300 (2018),  216–228  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 300 (2018), 206–218  isi  scopus
16. A. T. Il'ichev, S. I. Sumskoi, V. A. Shargatov, “Unsteady flows in deformable pipes: the energy conservation law”, Trudy Mat. Inst. Steklova, 300 (2018),  76–85  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 300 (2018), 68–77  isi  scopus
17. V. A. Shargatov, “Dynamics and stability of air bubbles in a porous medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:7 (2018),  1219–1234  mathnet  elib; Comput. Math. Math. Phys., 58:7 (2018), 1172–1187  isi  scopus
18. Anna P. Chugainova, Andrey T. Il'ichev, Andrey G. Kulikovskii, Vladimir A. Shargatov, “Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution”, J. Appl. Math., 82:3 (2017), 496, 525 pp.  mathnet  mathscinet  isi  scopus
19. A. G. Kulikovskii, A. P. Chugainova, V. A. Shargatov, “Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity”, Zh. Vychisl. Mat. Mat. Fiz., 56:7 (2016),  1363–1370  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 56:7 (2016), 1355–1362  isi  elib  scopus
20. A. P. Chugainova, V. A. Shargatov, “Stability of discontinuity structures described by a generalized KdV–Burgers equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016),  259–274  mathnet  mathscinet  zmath  elib; Comput. Math. Math. Phys., 56:2 (2016), 263–277  isi  elib  scopus
21. A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Akad. Nauk, 462:5 (2015),  512–516  mathnet  mathscinet  zmath  elib; Dokl. Math., 91:3 (2015), 347–351  isi  scopus
22. V. A. Shargatov, A. T. Il'ichev, G. G. Tsypkin, “Dynamics and stability of moving fronts of water evaporation in a porous medium”, Int. J. Heat Mass Transfer, 83 (2015),  552–561  mathnet  isi  elib  scopus
23. A. P. Chugainova, V. A. Shargatov, “Stability of nonstationary solutions of the generalized KdV-Burgers equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:2 (2015),  253–266  mathnet  mathscinet  elib; Comput. Math. Math. Phys., 55:2 (2015), 251–263  isi  elib  scopus
24. A. T. Il'ichev, V. A. Shargatov, “Dynamics of water evaporation fronts”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013),  1531–1553  mathnet  elib; Comput. Math. Math. Phys., 53:9 (2013), 1350–1370  isi  elib  scopus
25. S. A. Gubin, V. V. Odintsov, V. A. Shargatov, V. I. Pepekin, “On the calculation of the detonation rate of condensed explosives with solid products”, Dokl. Akad. Nauk SSSR, 261:3 (1981),  592–595  mathnet

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