arXiv:1901.08515 Abstract | arXiv Analytics

arXiv:1901.08515 [math.AP]Abstract References Reviews Resources

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

Published 2019-01-23Version 1

In this paper, we mainly investigate the Cauchy problem for the Phan-Thein-Tanner (PTT) model. The PPT model can be viewed as a Navier-Stokes equations couple with a nonlinear transport system. This model is derived from network theory for the polymeric fluid. We study about the global well posedness of the PTT model in critical Besov spaces. When the initial data is a small perturbation over around the equilibrium, we prove that the strong solution in critical Besov spaces exists globally.

Comments: arXiv admin note: substantial text overlap with arXiv:1811.07462

Categories: math.AP

Keywords: critical besov spaces, phan-thein-tanner model, global well-posedness, navier-stokes equations couple, nonlinear transport system

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