arXiv Analytics

Sign in

arXiv:1408.6775 [math.AP]AbstractReferencesReviewsResources

Singularity formation for compressible Euler equations

Geng Chen, Ronghua Pan, Shengguo Zhu

Published 2014-08-28Version 1

In this paper, for the p-system and full compressible Euler equations in one space dimension, we provide an equivalent and a sharp condition on initial data, respectively, under which the classical solution must break down in finite time. Moreover, we provide time-dependent lower bounds on density for arbitrary classical solutions for these two equations. Our results have no restriction on the size of solutions.

Comments: 32 pages
Categories: math.AP
Subjects: 76N15, 35L65, 35L67
Related articles: Most relevant | Search more
arXiv:2411.17153 [math.AP] (Published 2024-11-26)
Physical Vacuum Problems for the Full Compressible Euler Equations: Hadamard-style Local Well-posedness
arXiv:math/0505434 [math.AP] (Published 2005-05-20, updated 2006-03-21)
Quasi-geostrophic equations with initial data in Banach spaces of local measures
arXiv:math/0006094 [math.AP] (Published 2000-06-13)
Stability of $L^\infty$ solutions for hyperbolic systems with coinciding shocks and rarefactions

Links

Toolbox