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^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

19 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

Access to Document

10.1619/fesi.59.243

Cite this

@article{dd060f88c9c44dc389d4c1a44cd89203,

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 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.",

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

author = "Yoshihiro Shibata",

year = "2016",

doi = "10.1619/fesi.59.243",

language = "English",

volume = "59",

pages = "243--287",

journal = "Funkcialaj Ekvacioj",

issn = "0532-8721",

publisher = "Mathematical Society of Japan - Kobe University",

number = "2",

}

TY - JOUR

T1 - On the r-boundedness for the two phase problem with phase transition

T2 - Compressible-incompressible model problem

AU - Shibata, Yoshihiro

PY - 2016

Y1 - 2016

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84981156594&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84981156594&partnerID=8YFLogxK

U2 - 10.1619/fesi.59.243

DO - 10.1619/fesi.59.243

M3 - Article

AN - SCOPUS:84981156594

VL - 59

SP - 243

EP - 287

JO - Funkcialaj Ekvacioj

JF - Funkcialaj Ekvacioj

SN - 0532-8721

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this