Shock Waves in Anisotropic Cylinders

Author:

Kulikovskii A. G.,Chugainova A. P.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference37 articles.

1. V. L. Berdichevsky, Variational Principles of Continuum Mechanics (Nauka, Moscow, 1983); Revised Engl. transl.: Variational Principles of Continuum Mechanics. I: Fundamentals, II: Applications (Springer, Berlin, 2009).

2. A. P. Chugainova, “Asymptotic behavior of nonlinear waves in elastic media with dispersion and dissipation,” Teor. Mat. Fiz. 147 (2), 240–256 (2006) [Theor. Math. Phys. 147, 646–659 (2006)].

3. A. P. Chugainova, “Self-similar asymptotics of wave problems and the structures of non-classical discontinuities in non-linearly elastic media with dispersion and dissipation,” Prikl. Mat. Mekh. 71 (5), 775–787 (2007) [J. Appl. Math. Mech. 71, 701–711 (2007)].

4. A. P. Chugainova, “Special discontinuities in nonlinearly elastic media,” Zh. Vychisl. Mat. Mat. Fiz. 57 (6), 1023–1032 (2017) [Comput. Math. Math. Phys. 57, 1013–1021 (2017)].

5. A. P. Chugainova, A. T. Il’ichev, A. G. Kulikovskii, and V. A. Shargatov, “Problem of arbitrary discontinuity disintegration for the generalized Hopf equation: Selection conditions for a unique solution,” IMA J. Appl. Math. 82 (3), 496–525 (2017).

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1. Longitudinal–Torsional Waves in Nonlinear Elastic Rods;Proceedings of the Steklov Institute of Mathematics;2023-09

2. Modern Methods of Mechanics;Trudy Matematicheskogo Instituta imeni V.A. Steklova;2023-09

3. Structures of non-classical discontinuities in solutions of hyperbolic systems of equations;Russian Mathematical Surveys;2022-02-01

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