Optimale lokale Existenzsätze für die Gleichungen von Navier-Stokes
The paper is devoted to the local existence and the uniqueness of the solution of the Dirichlet-Cauchy problem for the non-stationary Navier- Stokes equations. Under some assumptions on the Cauchy data \(u_ 0\) and on the external forces f it is proved in an \(L^ q\) \((0,T;L^ q)\) theory, that a unique solution exists on an interval \((0,T^*)\), where \(T^*=T^*(u_ 0,f)\) and this solution has some special properties.
scientific article; zbMATH DE number 3879421
scientific article