Parabolicity of a quasihydrodynamic system of equations and the stability of its small perturbations

Author:

Zlotnik A. A.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference10 articles.

1. Yu. V. Sheretov, Mathematical Modelling of Liquid and Gas Flows on the Basis of Quasihydrodynamic and Quasi-Gas-Dynamic Equations (Izd. Tver. Gos. Univ., Tver, 2000) [in Russian].

2. B. N. Chetverushkin, Kinetic Schemes and the Quasihydrodynamic System of Equations, in Applied Mathematics and Information Science (Maks Press, Moscow, 2004) [in Russian].

3. T. G. Elizarova, Mathematical Models and Numerical Methods in the Dynamics of Liquid and Gas (Physics Dept., Moscow State University, Moscow, 2005) [in Russian].

4. A. A. Zlotnik, “Classification of some modifications of the system of Euler equations,” Dokl. Ross. Akad. Nauk 407(6), 747–751 (2006).

5. L. V. Dorodnitsyn, “On stability of small oscillations in a quasi-dynamic system of equations,” Zh. Vychisl. Mat. iMat. Fiz. 44(7), 1299–1305 (2004) [Comput. Math. and Math. Phys. 44 (7), 1231–1237 (2004)].

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