Abstract
We study the strong solution to the 3-D compressible Navier– Stokes equations. We propose a new blow up criterion for barotropic gases in terms of the integral norm of density ρ and the divergence of the velocity u without any restriction on the physical viscosity constants. Our blow up criteria can be seen as a partial realization of the underlying principle that higher integrability implies boundedness and then eventual regularity. We also present a similar blow-up criterion for heat conducting gases.
| Original language | English |
|---|---|
| Title of host publication | Contemporary Mathematics |
| Publisher | American Mathematical Society |
| Pages | 65-84 |
| Number of pages | 20 |
| DOIs | |
| Publication status | Published - 2018 Jan 1 |
Publication series
| Name | Contemporary Mathematics |
|---|---|
| Volume | 710 |
| ISSN (Print) | 0271-4132 |
| ISSN (Electronic) | 1098-3627 |
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All Science Journal Classification (ASJC) codes
- Mathematics(all)
Cite this
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Blow up criteria for the compressible Navier–Stokes equations. / Choe, Hi Jun; Yang, Minsuk.
Contemporary Mathematics. American Mathematical Society, 2018. p. 65-84 (Contemporary Mathematics; Vol. 710).Research output: Chapter in Book/Report/Conference proceeding › Chapter
TY - CHAP
T1 - Blow up criteria for the compressible Navier–Stokes equations
AU - Choe, Hi Jun
AU - Yang, Minsuk
PY - 2018/1/1
Y1 - 2018/1/1
N2 - We study the strong solution to the 3-D compressible Navier– Stokes equations. We propose a new blow up criterion for barotropic gases in terms of the integral norm of density ρ and the divergence of the velocity u without any restriction on the physical viscosity constants. Our blow up criteria can be seen as a partial realization of the underlying principle that higher integrability implies boundedness and then eventual regularity. We also present a similar blow-up criterion for heat conducting gases.
AB - We study the strong solution to the 3-D compressible Navier– Stokes equations. We propose a new blow up criterion for barotropic gases in terms of the integral norm of density ρ and the divergence of the velocity u without any restriction on the physical viscosity constants. Our blow up criteria can be seen as a partial realization of the underlying principle that higher integrability implies boundedness and then eventual regularity. We also present a similar blow-up criterion for heat conducting gases.
UR - http://www.scopus.com/inward/record.url?scp=85050250683&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85050250683&partnerID=8YFLogxK
U2 - 10.1090/conm/710/14364
DO - 10.1090/conm/710/14364
M3 - Chapter
AN - SCOPUS:85050250683
T3 - Contemporary Mathematics
SP - 65
EP - 84
BT - Contemporary Mathematics
PB - American Mathematical Society
ER -