On strong continuity of weak solutions to the compressible Euler system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F21%3A00541263" target="_blank" >RIV/67985840:_____/21:00541263 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00332-021-09694-5" target="_blank" >https://doi.org/10.1007/s00332-021-09694-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00332-021-09694-5" target="_blank" >10.1007/s00332-021-09694-5</a>

Result language
angličtina
Original language name
On strong continuity of weak solutions to the compressible Euler system
Original language description
Let S={τn}n=1∞⊂(0,T) be an arbitrary countable (dense) set. We show that for any given initial density and momentum, the compressible Euler system admits (infinitely many) admissible weak solutions that are not strongly continuous at each τn, n= 1 , 2 , ⋯. The proof is based on a refined version of the oscillatory lemma of De Lellis and Székelyhidi with coefficients that may be discontinuous on a set of zero Lebesgue measure.
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/GA18-05974S" target="_blank" >GA18-05974S: Oscillations and concentrations versus stability in the equations of mathematical fluid dynamics</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)