On the R-boundedness for the two phase problem with phase transition: compressible-incompressible model problem

書誌事項

タイトル別名
  • On the $\mathcal R$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem

抄録

In this paper, we prove the maximal Lp-Lq regularity of the compressible and incompressible two phase flow with phase transition in the model problem case with the help of $\mathcal R$-bounded solution operators corresponding to generalized resolvent problem. The problem arises from the mathematical study of the motion of two-phase flows having gaseous phase and liquid phase separated by a sharp interface with phase transition.

収録刊行物

  • Funkcialaj Ekvacioj

    Funkcialaj Ekvacioj 59 (2), 243-287, 2016

    日本数学会函数方程式論分科会

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