Yichun University

output

20142021

α

to Euler equations in the Dirichlet case: indifference to boundary layers

42 citations

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2 papers · 1 filter

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: $α > 0$ , corresponding to the elastic response, and $ν > 0$ , corresponding to viscosity. Fo…

math.AP2014★ 42 cited

Convergence of the 2D Euler- $α$ 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- $α$ system as a regularization of the incompressible Euler equations in a smooth, two-dimensional, bounded domain. For the limiting Euler syst…

Approximation of 2D Euler Equations by the Second-Grade Fluid Equations with Dirichlet Boundary Conditions

Convergence of the 2D Euler-α to Euler equations in the Dirichlet case: indifference to boundary layers

Convergence of the 2D Euler- $α$ to Euler equations in the Dirichlet case: indifference to boundary layers