MR
Yoshihiro SHIBATA
Yoshihiro SHIBATA
On the $\mathcal{R}$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem
Funkcialaj Ekvacioj. Serio Internacia
59
2016
243--287
http://fe.math.kobe-u.ac.jp/FE/FullPapers/59-2/59_243.pdf
http://www.ams.org/mathscinet-getitem?mr=MR
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 $\mathcal{R}$-bounded solution operators corresponding to generalized resolvent problem. The problem arises from the mathematical study of the motion of two-phase flows having gaseous phase and liquid phase separated by a sharp interface with phase transition.
Two phase flow, Compressible and incompressible viscous flow, Surface tension, Phase transitions, Maximal $L_p$-$L_q$ regularity, $\mathcal{R}$-bounded solution operator.
Primary 35R35; Secondary 35Q30, 76T10.
59-243
2016
On the $\mathcal{R}$-Boundedness for the Two Phase Problem with Phase Transition: Compressible-Incompressible Model Problem
Yoshihiro SHIBATA
Yoshihiro SHIBATA
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