Well/ill-posedness for the dissipative Navier–Stokes system in generalized Carleson measure spaces

As an essential extension of the well known case β∈(12,1]{\beta\kern-1.0pt\in\kern-1.0pt({\frac{1}{2}},1]} to the hyper-dissipative case β∈(1,∞){\beta\kern-1.0pt\in\kern-1.0pt(1,\infty)}, this paper establishes both well-posedness and ill-posedness (not only norm inflation but also indifferentiabili...

Full description

Bibliographic Details
Main Authors: Wang Yuzhao, Xiao Jie
Format: Article
Language:English
Published: De Gruyter 2017-01-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2016-0042