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

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    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

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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

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