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January/February 2015 On local $L_p$-$L_q$ well-posedness of incompressible two-phase flows with phase transitions: the case of non equal densities
Senjoi Shimizu, Shintaro Yagi
Differential Integral Equations 28(1/2): 29-58 (January/February 2015).

Abstract

The basic model for incompressible two-phase flows with phase transitions where the interface is nearly flat in the case of non-equal densities is considered. The local well-posedness of the model in $L_p$-setting was proved in Prüss and Shimizu [14]. In this paper, we prove local well-posedness of the model $L_p$ in time $L_q$ in space settting.

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Senjoi Shimizu. Shintaro Yagi. "On local $L_p$-$L_q$ well-posedness of incompressible two-phase flows with phase transitions: the case of non equal densities." Differential Integral Equations 28 (1/2) 29 - 58, January/February 2015.

Information

Published: January/February 2015
First available in Project Euclid: 11 December 2014

zbMATH: 1363.35378
MathSciNet: MR3299116

Subjects:
Primary: 35Q30 , 35R35 , 76D45 , 76T10

Rights: Copyright © 2015 Khayyam Publishing, Inc.

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Vol.28 • No. 1/2 • January/February 2015
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