Inviscid limit for axisymmetric Navier-Stokes system. (English) Zbl 1228.76037

Hmidi, Taoufik; Zerguine, Mohamed

Differ. Integral Equ. 22, No. 11-12, 1223-1246 (2009).

The paper deals with the incompressible axisymmetric Navier-Stokes system with initial data belonging to the critical Besov spaces \(B_{p,1}^{ 1+\frac {3}{p}}\). The authors present uniform estimates of the viscous solutions with respect to the viscosity. Finally, they show the strong convergence of the viscous solutions to the Euler equations.

Reviewer: Šárka Nečasová (Praha)

MSC:

76D03	Existence, uniqueness, and regularity theory for incompressible viscous fluids
35B30	Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
35Q35	PDEs in connection with fluid mechanics
76D05	Navier-Stokes equations for incompressible viscous fluids

Keywords:

incompressible axisymmetric Navier-Stokes system; Euler equation; viscous solution