Acta mathematica scientia, Series B >
EXISTENCE AND REGULARITY OF SOLUTIONS TO MODEL FOR LIQUID MIXTURE OF 3HE-4HE
Received date: 2011-06-21
Revised date: 2011-11-23
Online 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).
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 Hk(Ω , C × R) for all k ≥ 1.
Key words： existence; uniqueness; regularity; semigroup of operator; liquid mixture of 3He-4He
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 . DOI: 10.1016/S0252-9602(12)60167-2
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