On the r-boundedness for the two phase problem with phase transition: Compressible-incompressible model problem

Yoshihiro Shibata

doi:10.1619/fesi.59.243

On the r-boundedness for the two phase problem with phase transition: Compressible-incompressible model problem

Yoshihiro Shibata

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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 R-bounded solution operators corresponding to generalized resolvent problem. The problem arises from the mathematical study of the motion of twophase flows having gaseous phase and liquid phase separated by a sharp interface with phase transition.

Original language	English
Pages (from-to)	243-287
Number of pages	45
Journal	Funkcialaj Ekvacioj
Volume	59
Issue number	2
DOIs	https://doi.org/10.1619/fesi.59.243
Publication status	Published - 2016

Keywords

Compressible and incompressible viscous flow
Maximal L-L regularity
Phase transitions
R-bounded solution operator
Surface tension
Two phase flow

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Geometry and Topology

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AB - 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 R-bounded solution operators corresponding to generalized resolvent problem. The problem arises from the mathematical study of the motion of twophase flows having gaseous phase and liquid phase separated by a sharp interface with phase transition.

KW - Compressible and incompressible viscous flow

KW - Maximal L-L regularity

KW - Phase transitions

KW - R-bounded solution operator

KW - Surface tension

KW - Two phase flow

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On the r-boundedness for the two phase problem with phase transition: Compressible-incompressible model problem

Abstract

Keywords

ASJC Scopus subject areas

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