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Smoothing effect on the damping mechanism for an inviscid two-phase gas—liquid model

Published online by Cambridge University Press:  20 March 2014

Lizhi Ruan
Lizhi Ruan*
Affiliation:
Hubei Key Laboratory of Mathematical Physics, School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, People's Republic of China, ([email protected])
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Abstract

In this paper, we consider the Cauchy problem for an inviscid two-phase gas—liquid model with external force, in order to demonstrate the smoothing effect on the damping mechanism. It is shown that the Cauchy problem admits a unique global smooth solution provided that the initial data are smooth and the C0-norm of the derivative of the initial data are small.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 144 , Issue 2 , April 2014 , pp. 351 - 362
Copyright
Copyright © Royal Society of Edinburgh 2014 

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