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

Research output: Contribution to journal › Article

9 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

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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

Algebra and Number Theory
Analysis
Geometry and Topology

Cite this

Shibata, Y. (2016). On the r-boundedness for the two phase problem with phase transition: Compressible-incompressible model problem. Funkcialaj Ekvacioj, 59(2), 243-287. https://doi.org/10.1619/fesi.59.243

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10.1619/fesi.59.243