论文标题
关于2D不可压缩的涡流的消失粘度极限
On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity
论文作者
论文摘要
我们在二维圆环上不可压缩的Navier-Stokes方程在消失的粘度限制中表现出强烈的融合，因为仅假设有限的Euler方程的初始涡度在$ l^p $中in $ p $ in $ p> 1 $。这大大扩展了康斯坦丁，德里维斯和埃尔金迪的最新结果，他们在$ p = \ infty $的情况下证明了强烈的融合。我们的证明依赖于Diperna-Lions的经典重新归一化理论，非常简单。
We show strong convergence of the vorticities in the vanishing viscosity limit for the incompressible Navier-Stokes equations on the two-dimensional torus, assuming only that the initial vorticity of the limiting Euler equations is in $L^p$ for some $p>1$. This substantially extends a recent result of Constantin, Drivas and Elgindi, who proved strong convergence in the case $p=\infty$. Our proof, which relies on the classical renormalization theory of DiPerna-Lions, is surprisingly simple.
