On a method of holomorphic functions to obtain sharp regularization rates of weak solutions of Navier-Stokes equations
The author consider the compressible Navier-Stokes equations. By applying for the \(L^2\) energy estimates and the Cauchy integral formula for holomorphic functions, the author deduce the bounds for higher-order derivatives of smooth solutions to Navier-Stokes equations. Then the optimal regularization rates are obtained for weak solutions by standard energy methods.
scientific article; zbMATH DE number 5548791