On the $\mathcal R$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem

• Shibata Yoshihiro

  Waseda University

Bibliographic Information

Other Title

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

Abstract

In this paper, we prove the maximal L_p-L_q 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.

Journal

• Funkcialaj Ekvacioj

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

  Division of Functional Equations, The Mathematical Society of Japan

Keywords

• Two phase flow
• Compressible and incompressible viscous flow
• Surface tension
• Phase transitions
• Maximal <i>L_p</i>-<i>L_q</i> regularity
• $\mathcal R$-bounded solution operator

Details

• CRID: 1390282680088769536
• NII Article ID: 130005259565
• DOI: 10.1619/fesi.59.243
• ISSN: 05328721
• Web Site: https://www.jstage.jst.go.jp/article/fesi/59/2/59_243/_pdf
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed