Global well-posedness for the Phan-Thein-Tanner model in critical Besov spaces without damping

In this paper, we mainly investigate the Cauchy problem for the Phan-Thein-Tanner (PTT) model. The PPT model can be viewed as Navier-Stokes equations coupled with a nonlinear transport system. This model is derived from network theory of the polymeric fluid. We study about the global well-posedness...

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Bibliographic Details
Published in:Journal of mathematical physics 2019-06, Vol.60 (6)
Main Authors: Chen, Yuhui, Luo, Wei, Zhai, Xiaoping
Format: Article
Language:English
Subjects:
Cauchy problems
Computational fluid dynamics
Damping
Function space
Nonlinear equations
Perturbation
Physics
Well posed problems
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Summary:In this paper, we mainly investigate the Cauchy problem for the Phan-Thein-Tanner (PTT) model. The PPT model can be viewed as Navier-Stokes equations coupled with a nonlinear transport system. This model is derived from network theory of the polymeric fluid. We study about the global well-posedness of the PTT model in critical Besov space. When the initial data are a small perturbation around the equilibrium, the strong solution in critical Besov space is proved to be globally existed.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.5094086