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

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

Abstract

Abstract:

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.

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

CLC Number:

35K35

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

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