不可压粘弹性流体的Leray-α-Oldroyd模型整体解的存在性

Abstract

Abstract:

In this paper, we introduce and study a new model for two-dimensional regularized viscoelastic fluid model, the Leray-α-Oldroyd model. This model is inspired by the Leray-α model describing turbulence, introduced by Cheskidov et al^[16]. We study the Cauchy problem of the Leray-α-Oldroyd model and obtain the global existence for the strong solution of this model.

Key words: Incompressible viscoelastic fluids, Global existence, Oldroyd model, Leray-α

CLC Number:

O175.29

Qiu Hua, Zhang Yingshu, Fang Shaomei. The Global Existence Result of a Leray-α-Oldroyd Model to the Incompressible Viscoelastic Flow[J].Acta mathematica scientia,Series A, 2017, 37(1): 102-112.

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References

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The Global Existence Result of a Leray-α-Oldroyd Model to the Incompressible Viscoelastic Flow

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