Algebra Properties in Fourier-Besov Spaces and Their Applications.
- Resource Type
- Article
- Authors
- Zhou, Xuhuan; Xiao, Weiliang
- Source
- Journal of Function Spaces. 12/4/2018, p1-10. 10p.
- Subject
- *ALGEBRA
*NAVIER-Stokes equations
*MATHEMATICS
*FLUID dynamics
*MATHEMATICAL functions
- Language
- ISSN
- 2314-8896
We estimate the norm of the product of two scale functions in Fourier-Besov spaces. As applications of these algebra properties, we establish the global well-posedness for small initial data and local well-posedness for large initial data of the generalized Navier-Stokes equations. Particularly, we give a blow-up criterion of the solutions in Fourier-Besov spaces as well as a space analyticity of Gevrey regularity. [ABSTRACT FROM AUTHOR]