44
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Singularity formation for compressible Euler equations

      Preprint
      , ,

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          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.

          Related collections

          Author and article information

          Journal
          2014-08-28
          Article
          1408.6775
          b45c3a8d-f7a4-472f-ba2c-a22ae2955692

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          76N15, 35L65, 35L67
          32 pages
          math.AP

          Analysis
          Analysis

          Comments

          Comment on this article