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

Yoshihiro Shibata

    Research output: Contribution to journal › Article

    5 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)243-287
    Number of pages45
    JournalFunkcialaj Ekvacioj
    Volume59
    Issue number2
    DOIs
    Publication statusPublished - 2016

    Fingerprint

    Boundedness
    Phase Transition
    Two-phase Flow
    Bounded Solutions
    Incompressible Flow
    Resolvent
    Regularity
    Model
    Liquid
    Motion
    Operator

    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

    On the r-boundedness for the two phase problem with phase transition : Compressible-incompressible model problem. / Shibata, Yoshihiro.

    In: Funkcialaj Ekvacioj, Vol. 59, No. 2, 2016, p. 243-287.

    Research output: Contribution to journal › Article

    Shibata, Y 2016, 'On the r-boundedness for the two phase problem with phase transition: Compressible-incompressible model problem', Funkcialaj Ekvacioj, vol. 59, no. 2, pp. 243-287. https://doi.org/10.1619/fesi.59.243
    Shibata Y. On the r-boundedness for the two phase problem with phase transition: Compressible-incompressible model problem. Funkcialaj Ekvacioj. 2016;59(2):243-287. https://doi.org/10.1619/fesi.59.243
    Shibata, Yoshihiro. / On the r-boundedness for the two phase problem with phase transition : Compressible-incompressible model problem. In: Funkcialaj Ekvacioj. 2016 ; Vol. 59, No. 2. pp. 243-287.
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