A. G. Kulikovskii, A. P. Chugainova, “Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory”, Russian Math. Surveys, 63:2 (2008), 283–350
A. P. Chugaĭnova, “Formation of a self-similar solution in a problem of nonlinear waves in an elastic semispace”, J. Appl. Math. Mech., 52:4 (1988), 541–545
A. P. Chugainova, R. R. Polekhina, “Conditions for the decay of a wave into a system of waves in a viscoelastic medium with a negative nonlinearity parameter”, Int. J. Non-Linear Mech., 158 (2024), 104590 , 7 pp. ;
2.
Vladimir A. Shargatov, Anna P. Chugainova, Georgy V. Kolomoitsev, Irik I. Nasyrov, Anastasia M. Tomasheva, Sergey V. Gorkunov, Polina I. Kozhurina, “Why stable finite-difference schemes can converge to different solutions: analysis for the generalized hopf equation”, Computation, 12:4 (2024), 76 , 15 pp. ;
3.
A. P. Chugainova, “Riemann problem for longitudinal-torsional waves in nonlinear elastic rods”, Z. Angew. Math. Phys., 75 (2024), 106 , 15 pp. ;
4.
A. P. Chugainova, “On the uniqueness of a self-similar solution of the Riemann problem for longitudinal-torsional waves in nonlinear elastic rods”, Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, Steklov Math. Inst., Moscow, 2024 (to appear)
2023
5.
V. A. Shargatov, A. P. Chugainova, A. M. Tomasheva, “Structures of Classical and Special Discontinuities for the Generalized Korteweg–de Vries–Burgers Equation in the Case of a Flux Function with Four Inflection Points”, Proc. Steklov Inst. Math., 322 (2023), 257–272
6.
A. P. Chugainova, R. R. Polekhina, “Nonuniqueness of a Self-similar Solution to the Riemann Problem for Elastic Waves in Media with a Negative Nonlinearity Parameter”, Proc. Steklov Inst. Math., 322 (2023), 242–256
7.
A. G. Kulikovskii, A. P. Chugainova, “Longitudinal–Torsional Waves in Nonlinear Elastic Rods”, Proc. Steklov Inst. Math., 322 (2023), 151–160
8.
V. V. Pukhnachev, A. T. Ilichev, A. P. Chugainova, “Andrei Gennadevich Kulikovskii: K devyanostoletiyu so dnya rozhdeniya”, Sovremennye metody mekhaniki, Sbornik statei. K 90-letiyu akademika Andreya Gennadevicha Kulikovskogo, Trudy MIAN, 322, MIAN, M., 2023, 7–9
9.
A. P. Chugainova, A. G. Kulikovskii, “Structures of longitudinal-torsional shock waves and special discontinuities in nonlinearly viscoelastic media with dispersion”, Contin. Mech. Thermodyn., 35 (2023), 1655–1669;
A. G. Kulikovskii, A. P. Chugainova, “Structures of non-classical discontinuities in solutions of hyperbolic systems of equations”, Russian Math. Surveys, 77:1 (2022), 47–79
11.
V. A. Shargatov, A. P. Chugainova, G. V. Kolomiytsev, “Global stability of traveling wave solutions of generalized Korteveg–de Vries–Burgers equation with non-constant dissipation parameter”, J. Comput. Appl. Math., 412 (2022), 114354 , 18 pp. ;
A. P. Chugainova, R. R. Polekhina, “The effect of small-scale processes in the structure of discontinuities on the solution of the Riemann problem”, Wave Motion, 114 (2022), 102996 , 11 pp. ;
A. P. Chugainova, “Special discontinuities in nonlinear elastic rods”, AIP Conf. Proc., 2522, 2022, 060004 , 5 pp. ;
14.
A. P. Chugainova, G. V. Kolomoiytsev, V. A. Shargatov, “On the Instability of Monotone Traveling-Wave Solutions for a Generalized Korteweg-–de Vries-–Burgers Equation”, Russ. J. Math. Phys., 29 (2022), 342–357;
A. P. Chugainova, A. G. Kulikovskii, “Shock waves in an incompressible anisotropic elastoplastic medium with hardening and their structures”, Appl. Math. Comput., 401 (2021), 126077 , 11 pp. ;
A. G. Kulikovskii, A. P. Chugainova, “Discontinuity structures of equation solutionsdescribing longitudinal-torsional waves in elastic rods”, Doklady RAN. Fiz. Tekhn. Nauki, 497:1 (2021), 49–52
17.
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 pp. ;
A. P. Chugainova, A. G. Kulikovskii, “Longitudinal and torsional shock waves in anisotropic elastic cylinders”, Z. Angew. Math. Phys., 71:1 (2020), 17 , 15 pp. https://rdcu.be/b2bXP;
A. G. Kulikovskii, A. P. Chugainova, “Simple One-Dimensional Waves in an Incompressible Anisotropic Elastoplastic Medium with Hardening”, Proc. Steklov Inst. Math., 310 (2020), 175–184
20.
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;
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”, J. Exp. Theor. Phys., 131:3 (2020), 481–495
22.
A. P. Chugainova, “Special discontinuities depending on dispersion processes”, AIP Conf. Proc., 2302, no. 1, 2020, 100002 , 5 pp. ;
2019
23.
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
24.
A. P. Chugainova, A. T. Ilichev, V. A. Shargatov, “Stability of shock wave structures in nonlinear elastic media”, Math. Mech. Solids, 24(II) (2019), 3456–3471
A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spontaneously radiating shock waves”, Doklady Physics, 64:7 (2019), 293–296
26.
Anna Chugaynova, “Uniqueness of self-similar solutions obeying the problems of arbitrary discontinuity disintegration for the generalized Hopf equation”, 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. Book of Abstracts (TU Wien, Wien, Austria, 26/08/19 - 30/08/19), eds. Kaltenbacher, Manfred; Melenk, J. Markus; Nannen, Lothar; Toth, Florian, TU Wien, Wien, Austria, 2019, 342-343https://repositum.tuwien.ac.at/obvutwoa/download/pdf/4117715
27.
Chugainova A.P., “Osobye razryvy v modelyakh mekhaniki sploshnoi sredy”, Fizika geosfer, Odinnadtsatyi Vserossiiskii simpozium “Fizika geosfer” (Vladivostok, 9-14 sentyabrya 2019), eds. G.I. Dolgikh, TOI DVO RAN, Vladivostok, 2019, 489-492
28.
A. P. Chugainova, V. A. Shargatov, “Study of nonstationary solutions of a generalized Korteweg-de Vries-Burgers equation”, AIP Conf. Proc., 2164, 2019, 050002 , 8 pp.
A. G. Kulikovskii, A. P. Chugainova, “Shock Waves in Anisotropic Cylinders”, Proc. Steklov Inst. Math., 300 (2018), 100–113
30.
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”, Proc. Steklov Inst. Math., 300 (2018), 206–218
31.
Shargatov V.A., Chugainova A.P., “Ustoichivost struktury udarnykh voln i edinstvennost resheniya zadachi Rimana dlya obobschennogo uravneniya Khopfa”, Nelineinye zadachi teorii gidrodinamicheskoi ustoichivosti i turbulentnost, Materialy XXIII Mezhdunarodnoi konferentsii. (Moskva), eds. N.V. Nikitin, N.V. Popelenskaya, 2018, 345
32.
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.
Anna Chugaynova, “Special discontinuities in models of continuum mechanics”, MATEC Web Conf., 211 (2018), 4002 , 5 pp.
34.
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, 080002
35.
Kulikovskii A.G., Chugainova A.P., “Prodolnye i krutilnye volny v anizotropnykh tsilindrakh”, Volny i vikhri v slozhnykh sredakh.9-aya mezhdunarodnaya konferentsiya - shkola molodykh uchenykh. Sbornik materialov shkoly. (Moskva, 05-07 dekabrya 2018 g.), Premium-print, 2018, 97
36.
Chugainova Anna, “Special discontinuities in models of continuum mechanics”, Potoki i struktury v zhidkostyakh. Materialy konferentsii 19-oi mezhdunarodnoi konferentsii (Vladivostok, 08-10 avgusta 2018 g.), 2018, 58
37.
Kulikovskii A.G., Chugainova A.P., “Nonlinear waves in anisotropic cylinders”, Potoki i struktury v zhidkostyakh. Materialy konferentsii 19-oi mezhdunarodnoi konferentsii (Vladivostok, 08-10 avgusta 2018 g.), 2018, 134
38.
Chugaynova, A, “Nonlinear waves in dispersive viscous media”, 25th International Congress on Sound and Vibration 2018, ICSV 2018: Hiroshima Calling (08-12 July, Hiroshima, Japan), v. 4, International Institute of Acoustics and Vibration, IIAV, 2018, 2087–2092
2017
39.
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
A. P. Chugainova, “Special discontinuities in nonlinearly elastic media”, Comput. Math. Math. Phys., 57:6 (2017), 1013–1021
41.
A. Chugaynova, “Special discontinuities in models of continuum mechanics”, Proceedings of the 17th International Conference on Computational and Mathematical Methods in Science and Engineering (Costa Ballena, Rota, Cadiz (Spain) Juliy 4–8, 2017), v. 2, Almería, 2017, 586–591Proceedings CMMSE 2017
42.
A. G. Kulikovskii, A. P. Chugainova, “Long nonlinear waves in anisotropic cylinders”, Comput. Math. Math. Phys., 57:7 (2017), 1194–1200
2016
43.
A. P. Chugainova, V. A. Shargatov, “Stability of discontinuity structures described by a generalized KdV–Burgers equation”, Comput. Math. Math. Phys., 56:2 (2016), 263–277
44.
A. G. Kulikovskii, A. P. Chugainova, “Study of discontinuities in solutions of the Prandtl-Reuss elastoplasticity equations”, Comput. Math. Math. Phys., 56:4 (2016), 637–649
45.
A. G. Kulikovskii, A. P. Chugainova, “A self-similar wave problem in a Prandtl–Reuss elastoplastic medium”, Proc. Steklov Inst. Math., 295 (2016), 179–189
46.
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”, Comput. Math. Math. Phys., 56:7 (2016), 1355–1362
47.
A. T. Il'ichev, A. P. Chugainova, “Spectral stability theory of heteroclinic solutions to the Korteweg–de Vries–Burgers equation with an arbitrary potential”, Proc. Steklov Inst. Math., 295 (2016), 148–157
2015
48.
A. P. Chugainova, V. A. Shargatov, “Stability of nonstationary solutions of the generalized KdV-Burgers equation”, Comput. Math. Math. Phys., 55:2 (2015), 251–263
49.
A. T. Il'ichev, A. P. Chugainova, V. A. Shargatov, “Spectral stability of special discontinuities”, Dokl. Math., 91:3 (2015), 347–351
50.
A. G. Kulikovskii, A. P. Chugainova, “Shock Waves in Elastoplastic Media with the Structure Defined by the Stress Relaxation Process”, Proc. Steklov Inst. Math., 289 (2015), 167–182
51.
A. G. Kulikovskii, A. P. Chugainova, “Struktura uprugoplasticheskikh udarnykh voln”, KhI Vserossiiskii s'ezd po fundamentalnym problemam teoreticheskoi i prikladnoi mekhaniki, Kazan, 20–24 avgusta 2015 g., Kazanskii (Privolzhskii) federalnyi universitet, Kazan, 2015, 2173–2174
52.
A. P. Chugainova, V. A. Shargatov, A. V. Krivosheev, “Ustoichivost nestatsionarnykh reshenii obobschennogo uravneniya Kortevega–de Vriza–Byurgersa”, Nauchnaya sessiya NIYaU MIFI-2015 (Moskva, 16–20 fevralya 2015 g.), Natsionalnyi issledovatelskii yadernyi universitet «MIFI», M., 2015, 239
2013
53.
A. P. Chugainova, “Nonstationary Solutions of a Generalized Korteweg–de Vries–Burgers Equation”, Proc. Steklov Inst. Math., 281 (2013), 204–212
54.
“The overturning of Riemann waves in elastoplastic media with hardening”, J. Appl. Math. Mech., 77:4 (2013), 350–359
2012
55.
A. G. Kulikovskii, A. P. Chugainova, “Classical and nonclassical discontinuities and their structures in nonlinear elastic media with dispersion and dissipation”, Proceedings of the Steklov Institute of Mathematics, 276, Suppl. 2 (2012), 1–68; A. G. Kulikovskii, A. P. Chugainova, Klassicheskie i neklassicheskie razryvy i ikh struktury v nelineino-uprugikh sredakh s dispersiei i dissipatsiei, Sovr. probl. matem., 7, MIAN, M., 2007 , 150 pp.
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, Matematicheskie metody izucheniya razryvnykh reshenii nelineinykh giperbolicheskikh sistem uravnenii, Lekts. kursy NOTs, 16, MIAN, M., 2010 , 122 pp.
A. G. Kulikovskii, A. P. Chugainova, “O statsionarnoi strukture udarnykh voln v uprugikh sredakh i dielektrikakh”, ZhETF, 137:5 (2010), 973–985
13
58.
A. G. Kulikovskii, A. P. Chugainova, “Self-similar asymptotics describing nonlinear waves in elastic media with dispersion and dissipation”, Comput. Math. Math. Phys., 50:12 (2010), 2145–2156
2009
59.
A. G. Kulikovskii, A. P. Chugainova, “On solution non-uniqueness in the nonlinear elasticity theory”, Reviews on Advanced Materials Science, 19:1/2 (2009), 93–98
2008
60.
A. G. Kulikovskii, A. P. Chugainova, “Classical and non-classical discontinuities in solutions of equations of non-linear elasticity theory”, Russian Math. Surveys, 63:2 (2008), 283–350
2007
61.
A. P. Chugaĭnova, “Self-similar asymptotics of wave problems, and the structures of nonclassical discontinuities in nonlinearly elastic media with dispersion and”, J. Appl. Math. Mech., 71:5 (2007), 701–711
2006
62.
A. G. Kulikovskii, A. P. Chugainova, E. I. Sveshnikova, “On the nonuniqueness of solutions to the nonlinear equations of elasticity theory”, J. Engrg. Math., 55:1-4 (2006), 97–110
A. P. Chugainova, “Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation”, Theoret. and Math. Phys., 147:2 (2006), 646–659
2005
64.
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “Some Problems in Nonlinear Dynamic Elasticity”, Proc. Steklov Inst. Math., 251 (2005), 165–191
2004
65.
A. G. Kulikovskii, A. P. Chugainova, “Modeling the influence of small-scale dispersion processes in a continuum on the formation of large-scale phenomena”, Comput. Math. Math. Phys., 44:6 (2004), 1062–1068
2002
66.
A. G. Kulikovskii, A. P. Chugainova, “Ob ustoichivosti k dvumernym vozmuscheniyam metastabilnoi udarnoi volny v vyazkouprugoi srede”, PMM, 66:1 (2002), 109–117
6
67.
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “On nonuniqueness of solutions in the nonlinear theory of elasticity”, Modeli mekhaniki sploshnoi sredy, Obzornye doklady i lektsii XVI sessii mezhd. shkoly po modelyam mekhaniki sploshnoi sredy (Kazan, 2002), Tr. Matem. tsentra im. N. I. Lobachevskogo, 16, Izd-vo Kazan. matem. ob-va, Kazan, 2002, 6–25
68.
A. A. Barmin, A. P. Chugainova, “Interaction between a slow magnetohydrodynamic shock wave and a tangential discontinuity”, Fluid Dynam., 37:6 (2002), 960–969
2000
69.
A. G. Kulikovskii, A. P. Chugainova, “Ob ustoichivosti kvazipoperechnykh udarnykh voln v anizotropnykh uprugikh sredakh”, PMM, 64:6 (2000), 1020–1026
4
1999
70.
A. P. Chugaĭnova, “On the existence of Riemann invariants in one-dimensional equations of the nonlinear theory of elasticity”, J. Appl. Math. Mech., 63:4 (1999), 627–632
1998
71.
A. G. Kulikovskii, A. P. Chugainova, “Disintegration conditions for a nonlinear wave in a viscoelastic medium”, Comput. Math. Math. Phys., 38:2 (1998), 305–312
1996
72.
N. I. Gvozdovskaya, A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, “Nelineinye volny v tverdykh telakh”, Vestnik Moskovskogo universiteta. Seriya 1. Matematika, mekhanika, 1996, no. 6, 12–19
1993
73.
A. P. Chugaĭnova, “A self-similar problem on the action of a traveling load on the boundary of a non-linearly elastic weakly anisotropic half-space”, J. Appl. Math. Mech., 57:3 (1993), 503–510
74.
A. P. Chugaĭnova, “On the interaction of nonlinear waves in a weakly anisotropic viscoelastic medium”, J. Appl. Math. Mech., 57:2 (1993), 375–381
75.
A. P. Chugainova, “O perestroike nelineinoi uprugoi volny v srede s maloi anizotropiei”, Izvestiya RAN. Mekhanika tverdogo tela, 1993, no. 5, 75–81
1991
76.
A. P. Chugaĭnova, “Steady quasitransversal ordinary and shock waves in a weakly anisotropic nonlinearly elastic medium”, J. Appl. Math. Mech., 55:3 (1991), 396–401 (1992)
1990
77.
A. P. Chugainova, “O vykhode nelineinykh voln na avtomodelnyi rezhim v zadache o deistvii vnezapnogo izmeneniya nagruzki na granitsu uprugogo poluprostranstva”, Izvestiya AN SSSR. Mekhanika tverdogo tela, 25:3 (1990), 187–189
1988
78.
A. P. Chugaĭnova, “Formation of a self-similar solution in a problem of nonlinear waves in an elastic semispace”, J. Appl. Math. Mech., 52:4 (1988), 541–545
Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Il'ichev, A. P. Chugainova, I. Yu. Polekhin, 2024 http://mi.mathnet.ru/book2006
Modern Methods of Mechanics, Collected papers. On the occasion of the 90th birthday of Academician Andrei Gennad'evich Kulikovskii, Trudy Mat. Inst. Steklova, 322, ed. V. V. Pukhnachev, A. T. Il'ichev, A. P. Chugainova, 2023, 296 с. http://mi.mathnet.ru/book1947
Modern problems and methods in mechanics, Collected papers. On the occasion of the 110th anniversary of the birth of Academician Leonid Ivanovich Sedov, Trudy Mat. Inst. Steklova, 300, ed. A. G. Kulikovskii, A. T. Il'ichev, A. P. Chugainova, 2018, 239 с. http://mi.mathnet.ru/book1686
A. G. Kulikovskii, E. I. Sveshnikova, A. P. Chugainova, Mathematical methods for studying discontinuous solutions of nonlinear hyperbolic systems of equations, Lekts. Kursy NOC, 16, 2010, 122 с. http://mi.mathnet.ru/book1249
A. G. Kulikovskii, A. P. Chugainova, Classical and Nonclassical Discontinuities and Their Structure in Nonlinear Elastic Media with Dispersion and Dissipation, Sovrem. Probl. Mat., 7, 2007, 150 с. http://mi.mathnet.ru/book470
2024
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