Global mild solutions to modified Navier-Stokes equations with small initial data in critical Besov-Q spaces. (English) Zbl 1301.35091
Summary: This article is devoted to establishing the global existence and uniqueness of a mild solution of the modified Navier-Stokes equations with a small initial data in the critical Besov-Q space.
MSC:
35Q30 | Navier-Stokes equations |
76D03 | Existence, uniqueness, and regularity theory for incompressible viscous fluids |
42B35 | Function spaces arising in harmonic analysis |
46E30 | Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) |