Global weak solvability to the regularized viscous compressible heat conductive flow
Applications of Mathematics, Tome 36 (1991) no. 6, pp. 417-431
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The concept of regularization to the complete system of Navier-Stokes equations for viscous compressible heat conductive fluid is developed. The existence of weak solutions for the initial boundary value problem for the modified equations is proved. Some energy and etropy estimates independent of the parameter of regularization are derived.
DOI :
10.21136/AM.1991.104479
Classification :
35Q30, 76N10
Keywords: compressible heat conductive fluid; global existence; initial or boundary value problems; energ inequality; regularization; Navier-Stokes equations; weak solutions; energy and entropy estimates
Keywords: compressible heat conductive fluid; global existence; initial or boundary value problems; energ inequality; regularization; Navier-Stokes equations; weak solutions; energy and entropy estimates
@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},
publisher = {mathdoc},
volume = {36},
number = {6},
year = {1991},
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 PB - mathdoc 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 %I mathdoc %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
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
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