论文信息 - The Zero‐Viscosity Limit of the 2D Navier–Stokes Equations

The Zero‐Viscosity Limit of the 2D Navier–Stokes Equations

It is shown that in a radially symmetric configuration, the zero-viscosity limit of solutions of the Navier-Stokes equations satisfies the associated Euler equations. An ancillary result on continuous dependence of solutions on v is also established.

Jerry L. Bona | Jiahong Wu | J. Bona | Jiahong Wu

[1] P. Constantin,et al. Inviscid limit for vortex patches , 1995 .

[2] G. Folland. Introduction to Partial Differential Equations , 1976 .

[3] J. Dieudonne. Foundations of Modern Analysis , 1969 .

[4] R. Temam. Navier-Stokes Equations , 1977 .

[5] G. A. Watson. A treatise on the theory of Bessel functions , 1944 .

[6] R. Temam,et al. Asymptotic analysis of Oseen type equations in a channel at small viscosity , 1996 .

[7] P. Constantin,et al. The inviscid limit for non-smooth vorticity , 1996 .