EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF 3HE-4HE

doi:10.1016/S0252-9602(12)60167-2

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (6): 2161-2175.doi: 10.1016/S0252-9602(12)60167-2

EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF ³HE-⁴HE

罗宏|蒲志林

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

收稿日期:2011-06-21 修回日期:2011-11-23 出版日期:2012-11-20 发布日期:2012-11-20
基金资助:
Sponsored by the National Natural Science Foundation of China (11071177), NSF of Sichuan Science and Technology Department of China (2010JY0057) and the NSF of Sichuan Education Department of China (11ZA102).

EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF ³HE-⁴HE

LUO Hong, PU Zhi-Lin

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China

Received:2011-06-21 Revised:2011-11-23 Online:2012-11-20 Published:2012-11-20
Supported by:
Sponsored by the National Natural Science Foundation of China (11071177), NSF of Sichuan Science and Technology Department of China (2010JY0057) and the NSF of Sichuan Education Department of China (11ZA102).

摘要/Abstract

摘要：

Existence and regularity of solutions to model for liquid mixture of ³He-⁴He is considered in this paper. First, it is proved that this system possesses a unique global weak solution in H¹(Ω, C ×R) by using Galerkin method. Secondly, by using an iteration procedure, regularity estimates for the linear semigroups, it is proved that the model for liquid mixture of ³He-⁴He has a unique solution in H^k(Ω , C × R) for all k ≥ 1.

关键词: existence, uniqueness, regularity, semigroup of operator, liquid mixture of ³He-⁴He

Abstract:

Key words: existence, uniqueness, regularity, semigroup of operator, liquid mixture of ³He-⁴He

中图分类号:

35K35

罗宏, 蒲志林. EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF ³HE-⁴HE[J]. 数学物理学报(英文版), 2012, 32(6): 2161-2175.

LUO Hong, PU Zhi-Lin. EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF ³HE-⁴HE[J]. Acta mathematica scientia,Series B, 2012, 32(6): 2161-2175.

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EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF ³HE-⁴HE

EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF ³HE-⁴HE

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