Global well-posedness for the Phan-Thein-Tanner model in critical Besov spaces without damping
arXiv:1901.08515 · doi:10.1063/1.5094086
Abstract
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.
arXiv commentarXiv admin note: substantial text overlap with arXiv:1811.07462
References in corpus (5)
- Global Solutions for Incompressible Viscoelastic Fluids
- Global well-posedness for the compressible Navier-Stokes equations with the highly oscillating initial velocity
- Well-posedness in critical spaces for the compressible Navier-Stokes equations with density dependent viscosities
- On the ill-posedness of the compressible Navier-Stokes equations in the critical Besov spaces
- Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism