Incompressible Flow around a Small Obstacle and the Vanishing Viscosity Limit

  title={Incompressible Flow around a Small Obstacle and the Vanishing Viscosity Limit},
  author={Dragos Iftimie and Milton C. Lopes Filho and Helena J. Nussenzveig Lopes},
In this article we consider viscous flow in the exterior of an obstacle satisfying the standard no-slip boundary condition at the surface of the obstacle. We seek conditions under which solutions of the NavierStokes system in the exterior domain converge to solutions of the Euler system in the full space when both viscosity and the size of the obstacle vanish. We prove that this convergence is true assuming two hypotheses: first, that the initial exterior domain velocity converges strongly in L… CONTINUE READING

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 26 references

Vanishing Viscosity Limits and Boundary Layers for Circularly Symmetric 2D Flows

M. C. Lopes Filho, A. Mazzucato, H. J. Nussenzveig Lopes, M. Taylor
To appear, Bull. Braz. Soc. Math. • 2008
View 1 Excerpt

Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case

R. Temam, X. Wang
J. Differential Equations 179 • 2002
View 1 Excerpt

Similar Papers

Loading similar papers…