42 citations
4 papers
On classical solutions to the Cauchy problem of the 2D compressible non-resistive MHD equations with vacuum
Mingtao Chen, Aibin Zang
In this paper, we investigate the Cauchy problem of the compressible non-resistive MHD on with vacuum as far field density. We prove that the 2D Cauchy problem has a…
Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space
Aibin Zang
The author treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by potential function subject to slip boundary conditions in $\…
Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
The second-grade fluid equations are a model for viscoelastic fluids, with two parameters: , corresponding to the elastic response, and , corresponding to viscosity. Fo…
Convergence of the 2D Euler- to Euler equations in the Dirichlet case: indifference to boundary layers
Milton C. Lopes Filho, Helena J. Nussenzveig Lopes, Edriss S. Titi +1
In this article we consider the Euler- system as a regularization of the incompressible Euler equations in a smooth, two-dimensional, bounded domain. For the limiting Euler syst…