GLOBAL WELL-POSEDNESS FOR FRACTIONAL NAVIER-STOKES EQUATIONS IN VARIABLE EXPONENT FOURIER-BESOV-MORREY SPACES

• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（1）
• 页码范围: 164-176
• 页数: 13页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.01.009

摘要

In this paper we study the Cauchy problem of the incompressible fractional Navier-Stokes equations in critical variable exponent Fourier-Besov-Morrey space FNs(.)p(.)h(.),q(R3)with s(.)= 4-2α-3p(.).We prove global well-posedness result with small initial data belonging to FN 4-2α-3/p(.)/p(.),h(.),q(R3).The result of this paper extends some recent work.