Energy equalities and estimates for barotropic quasi-gas-dynamic and quasi-hydrodynamic systems of equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 325-337
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Energy equalities are derived for the barotropic quasi-gasdynamic, modified quasi-gasdynamic, and quasi-hydrodynamic systems of equations. Global energy estimates of solutions are obtained. For the second of the systems, necessary and sufficient conditions for nonuniform and uniform Petrovskii parabolicity are derived.
@article{ZVMMF_2010_50_2_a11,
author = {A. A. Zlotnik},
title = {Energy equalities and estimates for barotropic quasi-gas-dynamic and quasi-hydrodynamic systems of equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {325--337},
publisher = {mathdoc},
volume = {50},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a11/}
}
TY - JOUR AU - A. A. Zlotnik TI - Energy equalities and estimates for barotropic quasi-gas-dynamic and quasi-hydrodynamic systems of equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 325 EP - 337 VL - 50 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a11/ LA - ru ID - ZVMMF_2010_50_2_a11 ER -
%0 Journal Article %A A. A. Zlotnik %T Energy equalities and estimates for barotropic quasi-gas-dynamic and quasi-hydrodynamic systems of equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 325-337 %V 50 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a11/ %G ru %F ZVMMF_2010_50_2_a11
A. A. Zlotnik. Energy equalities and estimates for barotropic quasi-gas-dynamic and quasi-hydrodynamic systems of equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 2, pp. 325-337. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_2_a11/