| NGUYEN, Quoc-Hung, Phuoc-Tai NGUYEN a Bao Quoc TANG. Energy conservation for inhomogeneous incompressible and compressible Euler equations. Journal of Differential Equations. San Diego (USA): Elsevier Science, 2020, roč. 269, č. 9, s. 7171-7210. ISSN 0022-0396. Dostupné z: https://dx.doi.org/10.1016/j.jde.2020.05.025. |
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@article{1731883,
author = {Nguyen, QuocandHung and Nguyen, PhuocandTai and Tang, Bao Quoc},
article_location = {San Diego (USA)},
article_number = {9},
doi = {http://dx.doi.org/10.1016/j.jde.2020.05.025},
keywords = {Inhomogeneous incompressible Euler equation; Compressible isentropic Euler equation; Energy; conservation; Onsager's conjecture},
language = {eng},
issn = {0022-0396},
journal = {Journal of Differential Equations},
title = {Energy conservation for inhomogeneous incompressible and compressible Euler equations},
url = {https://doi.org/10.1016/j.jde.2020.05.025},
volume = {269},
year = {2020}
}
TY - JOUR
ID - 1731883
AU - Nguyen, Quoc-Hung - Nguyen, Phuoc-Tai - Tang, Bao Quoc
PY - 2020
TI - Energy conservation for inhomogeneous incompressible and compressible Euler equations
JF - Journal of Differential Equations
VL - 269
IS - 9
SP - 7171-7210
EP - 7171-7210
PB - Elsevier Science
SN - 00220396
KW - Inhomogeneous incompressible Euler equation
KW - Compressible isentropic Euler equation
KW - Energy
KW - conservation
KW - Onsager's conjecture
UR - https://doi.org/10.1016/j.jde.2020.05.025
L2 - https://doi.org/10.1016/j.jde.2020.05.025
N2 - Energy conservations are studied for inhomogeneous incompressible and compressible Euler equations with general pressure law in a torus or a bounded domain. We provide sufficient conditions for a weak solution to conserve the energy. By exploiting a suitable test function, the spatial regularity for the density is only required to be of order 2/3 in the incompressible case, and of order 1/3 in the compressible case. When the density is constant, we recover the existing results for classical incompressible Euler equation. (c) 2020 Published by Elsevier Inc.
ER -
NGUYEN, Quoc-Hung, Phuoc-Tai NGUYEN a Bao Quoc TANG. Energy conservation for inhomogeneous incompressible and compressible Euler equations. \textit{Journal of Differential Equations}. San Diego (USA): Elsevier Science, 2020, roč.~269, č.~9, s.~7171-7210. ISSN~0022-0396. Dostupné z: https://dx.doi.org/10.1016/j.jde.2020.05.025.
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