Blow-up of viscous heat-conducting compressible flows

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Abstract

We show the blow-up of strong solution of viscous heat-conducting flow when the initial density is compactly supported. This is an extension of Z. Xin's result[5] to the case of positive heat conduction coefficient but we do not need any information for the time decay of total pressure nor the lower bound of the entropy. We control the lower bound of second moment by total energy and obtain the exact relationship between the size of support of initial density and the existence time. We also provide a sufficient condition for the blow-up in case that the initial density is positive but has a decay at infinity.

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Details 詳細情報について

  • CRID
    1050282813955821824
  • NII Article ID
    120000963349
  • ISSN
    10960813
    0022247X
  • HANDLE
    2115/14420
  • Text Lang
    en
  • Article Type
    journal article
  • Data Source
    • IRDB
    • CiNii Articles
    • KAKEN

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