Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590388 | Journal of Functional Analysis | 2014 | 17 Pages |
Abstract
We consider the initial value problems for the Navier–Stokes equations in the rotational framework. We introduce function spaces B˙p,qs(R3) of Besov type, and prove the global in time existence and the uniqueness of the mild solution for small initial data in our space B˙1,2−1(R3) near BMO−1(R3)BMO−1(R3). Furthermore, we also discuss the ill-posedness for the Navier–Stokes equations with the Coriolis force, which implies the optimality of our function space B˙1,2−1(R3) for the global well-posedness.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Tsukasa Iwabuchi, Ryo Takada,