Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4666030 | Advances in Mathematics | 2013 | 25 Pages |
Abstract
We show the unique existence of solutions to stationary Navier–Stokes equations with small singular external forces belonging to a critical space. To the best of our knowledge, this is the largest critical space that is available up until now for this kind of existence. This result can be viewed as the stationary counterpart of the existence result obtained by H. Koch and D. Tataru for the free non-stationary Navier–Stokes equations with initial data in BMO−1. The stability of the stationary solutions in such spaces is also obtained by a series of sharp estimates for resolvents of a singularly perturbed operator and the corresponding semigroup.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Tuoc Van Phan, Nguyen Cong Phuc,