Energy conservation for inhomogeneous incompressible and compressible Euler equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114713" target="_blank" >RIV/00216224:14310/20:00114713 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.jde.2020.05.025" target="_blank" >https://doi.org/10.1016/j.jde.2020.05.025</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jde.2020.05.025" target="_blank" >10.1016/j.jde.2020.05.025</a>

Result language
angličtina
Original language name
Energy conservation for inhomogeneous incompressible and compressible Euler equations
Original language description
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.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ19-14413Y" target="_blank" >GJ19-14413Y: Linear and nonlinear elliptic equations with singular data and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)