Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053266 | Applied Mathematics Letters | 2019 | 6 Pages |
Abstract
A new a priori estimate for solutions to Navier-Stokes equations is derived. Uniqueness and existence of these solutions in R3 for all t>0 is proved in a class of solutions locally differentiable in time with values in H1(R3), where H1(R3) is the Sobolev space. By the solution a solution to an integral equation is understood. No smallness restrictions on the data are imposed.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Alexander G. Ramm,