FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL

doi:10.1016/S0252-9602(12)60026-5

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (1): 413-432.doi: 10.1016/S0252-9602(12)60026-5

FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL

王振, 张卉

Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

收稿日期:2012-01-04 出版日期:2012-01-20 发布日期:2012-01-20
基金资助:
Supported by the National Natural Science Foundation of China (11171340).

FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL

WANG Zhen, ZHANG Hui

Wuhan Institute of Physics and Mathematics, The Chinese Academy of Sciences, Wuhan 430071, China

Received:2012-01-04 Online:2012-01-20 Published:2012-01-20
Supported by:
Supported by the National Natural Science Foundation of China (11171340).

摘要/Abstract

摘要：

In this paper, we study a free boundary value problem for two-phase liquid-gas model with mass-dependent viscosity coeffcient when both the initial liquid and gas masses connect to vacuum continuously. The gas is assumed to be polytropic whereas the liquid is treated as an incompressible fluid. We give the proof of the global existence and uniqueness of weak solutions when β ∈ (0,1), which have improved the result of Evje and
Karlsen, and we obtain the regularity of the solutions by energy method.

关键词: two-phase flow, weak solutions, Lagrangian coordinates, free boundaryprob-lem, vacuum, uniqueness

Abstract:

Key words: two-phase flow, weak solutions, Lagrangian coordinates, free boundaryprob-lem, vacuum, uniqueness

中图分类号:

35B40

王振, 张卉. FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL[J]. 数学物理学报(英文版), 2012, 32(1): 413-432.

WANG Zhen, ZHANG Hui. FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL[J]. Acta mathematica scientia,Series B, 2012, 32(1): 413-432.

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FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL

FREE BOUNDARY VALUE PROBLEM OF ONE DIMENSIONAL TWO-PHASE LIQUID-GAS MODEL

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