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 is considered in this paper. First, it is proved that this system possesses a unique global weak solution in H^1 （Ω, C ×R） by using Galerkin method. Secondly, by using an iteration procedure, regularity estimates for the li...

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Bibliographic Details
Published inActa mathematica scientia Vol. 32; no. 6; pp. 2161 - 2175
Main Author 罗宏 蒲志林
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.11.2012
College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China
Subjects
35D30
35D35
35K35
35K41
Estimates
existence
Galerkin methods
Group theory
Iterative methods
liquid mixture of 3He-4He
Liquids
Mathematical models
Regularity
semigroup of operator
uniqueness
35K41
35D35
semigroup of operator
uniqueness
existence
35D30
regularity
35K35
liquid mixture of 3He-4He
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Summary: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 H^1 （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.
Bibliography: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 H^1 （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.
existence; uniqueness; regularity; semigroup of operator; liquid mixture of ^3He_^4He
42-1227/O
Luo Hong Pu Zhilin （College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, China）
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60167-2