Blow-up of viscous heat-conducting compressible flows

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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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詳細情報 詳細情報について

  • CRID
    1050282813955821824
  • NII論文ID
    120000963349
  • ISSN
    10960813
    0022247X
  • HANDLE
    2115/14420
  • 本文言語コード
    en
  • 資料種別
    journal article
  • データソース種別
    • IRDB
    • CiNii Articles
    • KAKEN

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