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math.AP2014★ 23 cited
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…
math.AP2014★ 42 cited
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…