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 language | English |
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Pages (from-to) | 243-287 |
Number of pages | 45 |
Journal | Funkcialaj Ekvacioj |
Volume | 59 |
Issue number | 2 |
DOIs | |
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