References
B. N. Chetverushkin, Kinetic Schemes and Quasi-Gasdynamic System of Equations (MAKS, Moscow, 2004; CIMNE, Barcelona, 2008) [in Russian].
T. G. Elizarova, Quasi-Gas Dynamic Equations (Nauchnyi Mir, Moscow, 2007; Springer-Verlag, Berlin, 2009).
Yu. V. Sheretov, Continuum Dynamics under Spatiotemporal Averaging (RKhD, Izhevsk, 2009) [in Russian].
Yu. V. Sheretov, in Application of Functional Analysis to Approximation Theory (Tver. Gos. Univ., Tver, 2001), pp. 178–191 [in Russian].
L. V. Dorodnitsyn, Comput. Math. Math. Phys. 44, 1231–1237 (2004) [Zh. Vychisl. Mat. Mat. Fiz. 44, 1299–1305 (2004)].
A. A. Zlotnik and I. A. Zlotnik, Comput. Math. Math. Phys. 46, 251–257 (2006) [Zh. Vychisl. Mat. Mat. Fiz. 46, 262–269 (2006)].
A. A. Zlotnik and B. N. Chetverushkin, Comput. Math. Math. Phys. 48, 420–446 (2008) [Zh. Vychisl. Mat. Mat. Fiz. 48, 445–472 (2008)].
A. A. Zlotnik, Mat. Zametki 83, 667–682 (2008).
A. A. Zlotnik, Dokl. Math. 73, 302–306 (2006) [Dokl. Akad. Nauk 407, 747–751 (2006)].
A. A. Zlotnik, Comput. Math. Math. Phys. 50, 310–321 (2010) [Zh. Vychisl. Mat. Mat. Fiz. 50, 325–337 (2010)].
A. A. Zlotnik, Dokl. Math. 81, 312–316 (2010) [Dokl. Akad. Nauk 431, 605–609 (2010)].
I. A. Kvasnikov, Thermodynamics and Statistical Physics, Vol. 1: Theory of Equilibrium Systems and Thermodynamics (Editorial URSS, Moscow, 2002) [in Russian].
H. Beirão da Veiga, Commun. Math. Phys. 109, 229–248(1987).
O. A. Ladyzhenskaya, V. A. Solonnikov, and N. N. Ural’tseva, Linear and Quasilinear Equations of Parabolic Type (Nauka, Moscow, 1967; Am. Math. Soc., Providence, R.I., 1968).
O. A. Ladyzhenskaya and N. N. Uraltseva, Linear and Quasilinear Elliptic Equations (Nauka, Moscow, 1973; Academic, New York, 1987).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Zlotnik, 2010, published in Doklady Akademii Nauk, 2010, Vol. 433, No. 5, pp. 599–603.
Rights and permissions
About this article
Cite this article
Zlotnik, A.A. Linearized stability of equilibrium solutions to the quasi-gasdynamic system of equations. Dokl. Math. 82, 811–815 (2010). https://doi.org/10.1134/S1064562410050352
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562410050352