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MR ZblKeywords: compressible heat conductive fluid; global existence; initial or boundary value problems; energ inequality; regularization; Navier-Stokes equations; weak solutions; energy and entropy estimates
Neustupa, Jiří; Novotný, Antonín. Global weak solvability to the regularized viscous compressible heat conductive flow. Applications of Mathematics, Tome 36 (1991) no. 6, pp. 417-431. doi: 10.21136/AM.1991.104479
@article{10_21136_AM_1991_104479,
author = {Neustupa, Ji\v{r}{\'\i} and Novotn\'y, Anton{\'\i}n},
title = {Global weak solvability to the regularized viscous compressible heat conductive flow},
journal = {Applications of Mathematics},
pages = {417--431},
year = {1991},
volume = {36},
number = {6},
doi = {10.21136/AM.1991.104479},
mrnumber = {1134919},
zbl = {0742.76063},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104479/}
}
TY - JOUR AU - Neustupa, Jiří AU - Novotný, Antonín TI - Global weak solvability to the regularized viscous compressible heat conductive flow JO - Applications of Mathematics PY - 1991 SP - 417 EP - 431 VL - 36 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104479/ DO - 10.21136/AM.1991.104479 LA - en ID - 10_21136_AM_1991_104479 ER -
%0 Journal Article %A Neustupa, Jiří %A Novotný, Antonín %T Global weak solvability to the regularized viscous compressible heat conductive flow %J Applications of Mathematics %D 1991 %P 417-431 %V 36 %N 6 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1991.104479/ %R 10.21136/AM.1991.104479 %G en %F 10_21136_AM_1991_104479
[1] S. Agmon A. Douglis L. Nirenberg: Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II. Comm. Pure Appl. Math. 17 (1964), 35-92. | DOI | MR
[2] A. Friedman: Partial differential equations of parabolic type. Prentice-Hall, INC (1964). | MR | Zbl
[3] A. Kufner O. John S. Fučík: Function spaces. Praha, Academia (1977). | MR
[4] O. A. Ladzhenskaya V. A. Solonnikov N. N. Uralceva: Linear and quasilinear equations of parabolic type. (Russian). Moskva, Nauka (1967).
[5] J. L. Lions: Quelques méthodes des résolution des problèmes aux limites non linéaires. Dunod, Paris (1969). | MR
[6] A. Matsumura T. Nishida: Initial boundary value problems for the equation of motion of compressible viscous and heat conductive fluids. Comm. Math. Phys. 89 (1983), 445 - 464. | DOI | MR
[7] A. Matsumura T. Nishida: The initial value problem for the equations of motion of viscous and heat conductive gasses. J. Math. Kyoto Univ. 20 (1980), 67-104. | DOI | MR
[8] S. Mizohata: Theory of partial differential equations. (Russian). Moskva, Mir (1977).
[9] J. Nečas A. Novotný M. Šilhavý: Global solution to the compressible isothermal multipolar fluid. to appear J. Math. Anal. Appl. (1991). | MR
[10] J. Nečas M. Šilhavý: Multipolar viscous fluids. to appear Quart. Appl. Math. | MR
[11] J. Neustupa: The global weak solvability of a regularized system of the Navier-Stokes equations for compressible fluid. Apl. Mat. 33 (1988), 389-409. | MR
[12] J. Neustupa A. Novotný: Uniqueness to the regularized viscous compressible heat conductive flow. to appear.
[13] M. Padula: Existence of global solutions for 2-dimensional viscous compressible flow. J. Funct. Anal. 69 (1986), 1-20. | DOI | MR
[14] R. Rautman: The uniqueness and regularity of the solutions of Navier-Stokes problems. Lecture Notes in Math. Vol. 561, Springer-Verlag (1976). | DOI | MR
[15] A. Tani: On the first initial boundary value problem of compressible viscous fluid. Publ. RIMS Kyoto Univ. 13 (1977), 193 - 253. | DOI | Zbl
[16] R. Temam: Navier-Stokes equations. Amsterdam-New York-Oxford (1979). | Zbl
[17] A. Valli: An existence theorem for compressible viscous fluids. Ann. Mat. Рurа Appl. 130 (1982), 197-213. | DOI | MR | Zbl
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