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 Mat. Zametki, 1992, Volume 52, Issue 2, Pages 3–16 (Mi mz4675)

Solvability “in the large” of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas

A. A. Amosova, A. A. Zlotnikb

a Moscow Power Engineering Institute (Technical University)
b Moscow State Pedagogical University

Full text: PDF file (1355 kB)

English version:
Mathematical Notes, 1992, 52:2, 753–763

Bibliographic databases:

UDC: 517.958, 533.7

Citation: A. A. Amosov, A. A. Zlotnik, “Solvability “in the large” of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas”, Mat. Zametki, 52:2 (1992), 3–16; Math. Notes, 52:2 (1992), 753–763

Citation in format AMSBIB
\Bibitem{AmoZlo92}
\by A.~A.~Amosov, A.~A.~Zlotnik
\paper Solvability in the large'' of a system of equations of the one-dimensional motion of an inhomogeneous viscous heat-conducting gas
\jour Mat. Zametki
\yr 1992
\vol 52
\issue 2
\pages 3--16
\mathnet{http://mi.mathnet.ru/mz4675}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1187869}
\zmath{https://zbmath.org/?q=an:0779.76079}
\transl
\jour Math. Notes
\yr 1992
\vol 52
\issue 2
\pages 753--763
\crossref{https://doi.org/10.1007/BF01236769}

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This publication is cited in the following articles:
1. A. A. Zlotnik, A. A. Amosov, “Stability of generalized solutions to equations of one-dimensional motion of viscous heat-conducting gases”, Math. Notes, 63:6 (1998), 736–746
2. A. A. Zlotnik, S. N. Puzanov, “The well-posedness of the combustion problem for a viscous gas in the case of nonsmooth data, and a semidiscrete method for its solution”, Math. Notes, 65:6 (1999), 793–797
3. Zlotnik A., Amosov A., “Weak Solutions to Viscous Heat-Conducting Gas M-Equations with Discontinuous Data: Global Existence, Uniqueness, and Regularity”, Navier-Stokes Equations: Theory and Numerical Methods, Lecture Notes in Pure and Applied Mathematics, 223, ed. Salvi R., Marcel Dekker, 2002, 141–158
4. A. A. Zlotnik, Sun Jiang, “Well-Definedness of the Cauchy Problem for the One-Dimensional Equations of Viscous Heat Conducting Gas with Initial Data from Lebesgue Spaces”, Math. Notes, 73:5 (2003), 730–735
5. Jiang, S, “Global well-posedness of the Cauchy problem for the equations of a one-dimensional viscous heat-conducting gas with Lebesgue initial data”, Proceedings of the Royal Society of Edinburgh Section A-Mathematics, 134 (2004), 939
6. Ducomet, B, “Lyapunov functional method for 1D radiative and reactive viscous gas dynamics”, Archive For Rational Mechanics and Analysis, 177:2 (2005), 185
7. Fan, JS, “Stability of weak solutions to the compressible Navier–Stokes equations in bounded annular domains”, Mathematical Methods in the Applied Sciences, 31:2 (2008), 179
8. Fan J., Jiang S., Nakamura G., “Stability of Weak Solutions to Equations of Magnetohydrodynamics with Lebesgue Initial Data”, J. Differ. Equ., 251:8 (2011), 2025–2036
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