A generalization of a theorem by Kato on Navier-Stokes equations
The aim of this paper is to prove that Kato's result, on existence of global solutions to the Navier-Stokes system in \(C([0,\infty); L^3(\mathbb{R}^3))\), holds true under a much weaker condition on the initial data. Furthermore, using the previous result, the author obtains an existence theorem of self-similar solutions for the Navier-Stokes equations.
scientific article; zbMATH DE number 1136591