Energy conservation for inhomogeneous incompressible and
compressible Euler equations

J 2020

Energy conservation for inhomogeneous incompressible and compressible Euler equations

NGUYEN, Quoc-Hung; Phuoc-Tai NGUYEN a Bao Quoc TANG

Základní údaje

Originální název

Energy conservation for inhomogeneous incompressible and compressible Euler equations

Autoři

NGUYEN, Quoc-Hung; Phuoc-Tai NGUYEN a Bao Quoc TANG

Vydání

Journal of Differential Equations, San Diego (USA), Elsevier Science, 2020, 0022-0396

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 2.430

Označené pro přenos do RIV

Ano

Kód RIV

RIV/00216224:14310/20:00114713

Organizační jednotka

Přírodovědecká fakulta

Klíčová slova anglicky

Inhomogeneous incompressible Euler equation; Compressible isentropic Euler equation; Energy; conservation; Onsager's conjecture

Štítky

14311010, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 22. 1. 2021 08:59, Mgr. Marie Novosadová Šípková, DiS.

Anotace

V originále

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.

Návaznosti

GJ19-14413Y, projekt VaV

Název: Lineární a nelineární eliptické rovnice se singulárními daty a související problémy

Investor: Grantová agentura ČR, Lineární a nelineární eliptické rovnice se singulárními daty a související problémy

Citovat

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://doi.org/10.1016/j.jde.2020.05.025.

@article{1731883,
   author = {Nguyen, QuocandHung and Nguyen, PhuocandTai and Tang, Bao Quoc},
   article_location = {San Diego (USA)},
   article_number = {9},
   doi = {https://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://doi.org/10.1016/j.jde.2020.05.025.

Přehled o publikaci