Edit Profile (opens in new tab) Chugaĭnova, Anna Pavlova Compute Distance To: Compute Author ID: chugainova.anna-p Published as: Chugainova, A. P.; Chugajnova, A. P.; Chugaĭnova, A. P.; Chugainova, Anna P. more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 45 Publications since 1991, including 1 Book Co-Authors: 12 Co-Authors with 37 Joint Publications 480 Co-Co-Authors all top 5 Co-Authors 8 single-authored 22 Kulikovskiĭ, Andreĭ Gennad’evich 11 Shargatov, Vladimir Anatol’evich 5 Il’ichev, Andreĭ Teĭmurazovich 5 Sveshnikova, Elena Ivanovna 2 Gvozdovskaya, Natalia I. 2 Kolomiytsev, G. V. 1 Barmin, Alexei Alekseevich 1 Gorkunov, Sergey V. 1 Kozlov, Valeriĭ Vasil’evich 1 Polekhina, R. R. 1 Sumskoi, S. I. 1 Treshchev, Dmitriĭ Valer’evich all top 5 Serials 8 Proceedings of the Steklov Institute of Mathematics 7 Computational Mathematics and Mathematical Physics 4 Journal of Applied Mathematics and Mechanics 4 Prikladnaya Matematika i Mekhanika 3 Russian Mathematical Surveys 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Journal of Computational and Applied Mathematics 1 Fluid Dynamics 1 IMA Journal of Applied Mathematics 1 Journal of Engineering Mathematics 1 Moscow University Mechanics Bulletin 1 Theoretical and Mathematical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Computation 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Russian Journal of Mathematical Physics 1 Doklady Mathematics 1 Mathematics and Mechanics of Solids 1 Communications in Nonlinear Science and Numerical Simulation 1 Lektsionnye Kursy NOTs all top 5 Fields 30 Mechanics of deformable solids (74-XX) 25 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Numerical analysis (65-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 155 times in 48 Documents Cited by ▼ Year ▼ Stability of discontinuity structures described by a generalized KdV-Burgers equation. Zbl 1346.35178Chugainova, A. P.; Shargatov, V. A. 15 2016 Classical and non-classical discontinuities in solutions of equations of nonlinear elasticity theory. Zbl 1155.74019Kulikovskij, A. G.; Chugainova, A. P. 14 2008 Modeling the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena. Zbl 1136.35421Kulikovskiĭ, A. G.; Chugaĭnova, A. P. 12 2004 Stability of nonstationary solutions of the generalized KdV-Burgers equation. Zbl 1321.35196Chugainova, A. P.; Shargatov, V. A. 12 2015 Spectral stability of special discontinuities. Zbl 1326.35316Il’ichev, A. T.; Chugainova, A. P.; Shargatov, V. A. 10 2015 Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution. Zbl 1404.35082Chugainova, Anna P.; Il’ichev, Andrey T.; Kulikovskii, Andrey G.; Shargatov, Vladimir A. 8 2017 Special discontinuities in nonlinearly elastic media. Zbl 1457.74102Chugainova, A. P. 7 2017 Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity. Zbl 1362.35069Kulikovskii, A. G.; Chugainova, A. P.; Shargatov, V. A. 7 2016 Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations. Zbl 1429.74060Kulikovskij, A. G.; Chugainova, A. P. 7 2016 Nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation. Zbl 1292.35263Chugainova, A. P. 7 2013 Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation. Zbl 1177.74207Chugainova, A. P. 7 2006 Mathematical methods for studying discontinuous solutions of nonlinear hyperbolic systems of equations. (Математические методы изучения разрывных решений нелинейных гиперболических систем уравнений.) Zbl 1282.35002Kulikovskiĭ, A. G.; Sveshnikova, E. I.; Chugaĭnova, A. P. 6 2010 Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential. Zbl 1368.35235Il’ichev, A. T.; Chugainova, A. P. 5 2016 The overturning of Riemann waves in elastoplastic media with hardening. Zbl 1432.74042Kulikovskii, A. G.; Chugainova, A. P. 5 2013 Shock waves in elastoplastic media with the structure defined by the stress relaxation process. Zbl 1383.74049Kulikovskii, A. G.; Chugainova, A. P. 5 2015 A self-similar wave problem in a Prandtl-Reuss elastoplastic medium. Zbl 1366.35186Kulikovskii, A. G.; Chugainova, A. P. 4 2016 Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter. Zbl 1466.35081Shargatov, V. A.; Chugainova, A. P. 3 2021 Self-similar asymptotics describing nonlinear waves in elastic media with dispersion and dissipation. Zbl 1224.74055Kulikovskij, A. G.; Chugajnova, A. P. 3 2010 Analytical description of the structure of special discontinuities described by a generalized KdV-Burgers equation. Zbl 1455.76074Chugainova, A. P.; Shargatov, V. A. 2 2019 Stability of shock wave structures in nonlinear elastic media. Zbl 07273377Chugainova, A. P.; Il’ichev, A. T.; Shargatov, V. A. 2 2019 Long nonlinear waves in anisotropic cylinders. Zbl 1457.74103Kulikovskii, A. G.; Chugainova, A. P. 2 2017 Some problems in nonlinear dynamic elasticity. Zbl 1138.74349Kulikovskii, A. G.; Sveshnikova, E. I.; Chugainova, A. P. 2 2005 The stability of quasi-transverse shock waves in anisotropic elastic media. Zbl 0984.74041Kulikovskij, A. G.; Chugajnova, A. P. 2 2000 Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation. Zbl 1297.74056Kulikovskiĭ, A. G.; Chugaĭnova, A. P. 2 2012 Simple one-dimensional waves in an incompressible anisotropic elastoplastic medium with hardening. Zbl 1453.74044Kulikovskii, A. G.; Chugainova, A. P. 1 2020 Shock waves in anisotropic cylinders. Zbl 1452.74058Kulikovskii, A. G.; Chugainova, A. P. 1 2018 On the nonuniqueness of solutions to the nonlinear equations of elasticity theory. Zbl 1104.74035Kulikovskii, A. G.; Chugainova, A. P.; Sveshnikova, E. I. 1 2006 Automodel asymptotics of wave problems and structures of nonclassical discontinuities in nonlinear-elastic media with dispersion and dissipation. Zbl 1164.74042Chugajnova, A. P. 1 2007 Global stability of traveling wave solutions of generalized Korteveg-de Vries-Burgers equation with non-constant dissipation parameter. Zbl 1489.35244Shargatov, V. A.; Chugainova, A. P.; Kolomiytsev, G. V. 1 2022 The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem. Zbl 07655093Chugainova, A. P.; Polekhina, R. R. 1 2022 Global stability of traveling wave solutions of generalized Korteveg-de Vries-Burgers equation with non-constant dissipation parameter. Zbl 1489.35244Shargatov, V. A.; Chugainova, A. P.; Kolomiytsev, G. V. 1 2022 The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem. Zbl 07655093Chugainova, A. P.; Polekhina, R. R. 1 2022 Stability analysis of traveling wave solutions of a generalized Korteweg-de Vries-Burgers equation with variable dissipation parameter. Zbl 1466.35081Shargatov, V. A.; Chugainova, A. P. 3 2021 Simple one-dimensional waves in an incompressible anisotropic elastoplastic medium with hardening. Zbl 1453.74044Kulikovskii, A. G.; Chugainova, A. P. 1 2020 Analytical description of the structure of special discontinuities described by a generalized KdV-Burgers equation. Zbl 1455.76074Chugainova, A. P.; Shargatov, V. A. 2 2019 Stability of shock wave structures in nonlinear elastic media. Zbl 07273377Chugainova, A. P.; Il’ichev, A. T.; Shargatov, V. A. 2 2019 Shock waves in anisotropic cylinders. Zbl 1452.74058Kulikovskii, A. G.; Chugainova, A. P. 1 2018 Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: selection conditions for a unique solution. Zbl 1404.35082Chugainova, Anna P.; Il’ichev, Andrey T.; Kulikovskii, Andrey G.; Shargatov, Vladimir A. 8 2017 Special discontinuities in nonlinearly elastic media. Zbl 1457.74102Chugainova, A. P. 7 2017 Long nonlinear waves in anisotropic cylinders. Zbl 1457.74103Kulikovskii, A. G.; Chugainova, A. P. 2 2017 Stability of discontinuity structures described by a generalized KdV-Burgers equation. Zbl 1346.35178Chugainova, A. P.; Shargatov, V. A. 15 2016 Uniqueness of self-similar solutions to the Riemann problem for the Hopf equation with complex nonlinearity. Zbl 1362.35069Kulikovskii, A. G.; Chugainova, A. P.; Shargatov, V. A. 7 2016 Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations. Zbl 1429.74060Kulikovskij, A. G.; Chugainova, A. P. 7 2016 Spectral stability theory of heteroclinic solutions to the Korteweg-de Vries-Burgers equation with an arbitrary potential. Zbl 1368.35235Il’ichev, A. T.; Chugainova, A. P. 5 2016 A self-similar wave problem in a Prandtl-Reuss elastoplastic medium. Zbl 1366.35186Kulikovskii, A. G.; Chugainova, A. P. 4 2016 Stability of nonstationary solutions of the generalized KdV-Burgers equation. Zbl 1321.35196Chugainova, A. P.; Shargatov, V. A. 12 2015 Spectral stability of special discontinuities. Zbl 1326.35316Il’ichev, A. T.; Chugainova, A. P.; Shargatov, V. A. 10 2015 Shock waves in elastoplastic media with the structure defined by the stress relaxation process. Zbl 1383.74049Kulikovskii, A. G.; Chugainova, A. P. 5 2015 Nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation. Zbl 1292.35263Chugainova, A. P. 7 2013 The overturning of Riemann waves in elastoplastic media with hardening. Zbl 1432.74042Kulikovskii, A. G.; Chugainova, A. P. 5 2013 Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation. Zbl 1297.74056Kulikovskiĭ, A. G.; Chugaĭnova, A. P. 2 2012 Mathematical methods for studying discontinuous solutions of nonlinear hyperbolic systems of equations. (Математические методы изучения разрывных решений нелинейных гиперболических систем уравнений.) Zbl 1282.35002Kulikovskiĭ, A. G.; Sveshnikova, E. I.; Chugaĭnova, A. P. 6 2010 Self-similar asymptotics describing nonlinear waves in elastic media with dispersion and dissipation. Zbl 1224.74055Kulikovskij, A. G.; Chugajnova, A. P. 3 2010 Classical and non-classical discontinuities in solutions of equations of nonlinear elasticity theory. Zbl 1155.74019Kulikovskij, A. G.; Chugainova, A. P. 14 2008 Automodel asymptotics of wave problems and structures of nonclassical discontinuities in nonlinear-elastic media with dispersion and dissipation. Zbl 1164.74042Chugajnova, A. P. 1 2007 Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation. Zbl 1177.74207Chugainova, A. P. 7 2006 On the nonuniqueness of solutions to the nonlinear equations of elasticity theory. Zbl 1104.74035Kulikovskii, A. G.; Chugainova, A. P.; Sveshnikova, E. I. 1 2006 Some problems in nonlinear dynamic elasticity. Zbl 1138.74349Kulikovskii, A. G.; Sveshnikova, E. I.; Chugainova, A. P. 2 2005 Modeling the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena. Zbl 1136.35421Kulikovskiĭ, A. G.; Chugaĭnova, A. P. 12 2004 The stability of quasi-transverse shock waves in anisotropic elastic media. Zbl 0984.74041Kulikovskij, A. G.; Chugajnova, A. P. 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 39 Authors 24 Chugaĭnova, Anna Pavlova 13 Kulikovskiĭ, Andreĭ Gennad’evich 10 Shargatov, Vladimir Anatol’evich 4 Samokhin, Alexey V. 3 Anikonov, Dmitriĭ Sergeevich 3 Il’ichev, Andreĭ Teĭmurazovich 3 Konovalova, D. S. 2 Kolomiytsev, G. V. 2 Sveshnikova, Elena Ivanovna 2 You, Shujun 1 Bakholdin, Igor B. 1 Chen, Shuting 1 Dobrokhotov, Sergei Yurievich 1 Du, Zengji 1 Gavrilyuk, Sergey L. 1 Gorkunov, Sergey V. 1 Grushin, V. V. 1 Guo, Boling 1 Huang, Jianhua 1 Imomnazarov, Kholmatzhon Khudainazarovich 1 Ivanova, Yu. E. 1 Khusnutdinova, Karima Robertovna 1 Kudryashov, Nikolaĭ Alekseevich 1 Nesterov, A. V. 1 Ostrovsky, Lev A. 1 Pavlyuk, T. V. 1 Plaza, Ramón G. 1 Polekhina, R. R. 1 Ragozina, V. E. 1 Sadovskii, Vladimir M. 1 Sergeev, Sergeĭ Alekseevich 1 Sumskoi, S. I. 1 Umarov, Khasan Galsanovich 1 Vallejo, Fabio Andrés 1 Vasil’ev, Georgiĭ Sergeevich 1 Volkov, Alexandr K. 1 Wang, Ke 1 Zharinov, Victor Victorovich 1 Zhuravlev, Viktor Mikhaĭlovich all top 5 Cited in 24 Serials 9 Proceedings of the Steklov Institute of Mathematics 8 Computational Mathematics and Mathematical Physics 3 Theoretical and Mathematical Physics 3 Journal of Geometry and Physics 3 Prikladnaya Matematika i Mekhanika 2 Wave Motion 2 Journal of Computational and Applied Mathematics 2 Differential Equations 1 Archive for Rational Mechanics and Analysis 1 Journal of Applied Mathematics and Mechanics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Applied Mathematics and Computation 1 Siberian Mathematical Journal 1 Applied Mathematics Letters 1 Differential Geometry and its Applications 1 Russian Mathematics 1 Russian Journal of Mathematical Physics 1 Doklady Mathematics 1 Mathematics and Mechanics of Solids 1 Sibirskiĭ Zhurnal Industrial’noĭ Matematiki 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Mathematical Modelling of Natural Phenomena all top 5 Cited in 12 Fields 36 Partial differential equations (35-XX) 24 Mechanics of deformable solids (74-XX) 8 Fluid mechanics (76-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Integral transforms, operational calculus (44-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Citations by Year