首頁 > 期刊 > 自然科學與工程技術 > 基礎科學 > 數學 > 數學學報 > Remark on Mild Solution to the 3D Incompressible Micropolar System in Fourier-Herz Framework 【正文】
摘要:This paper is devoted to investigating the existence and uniqueness of mild solution to the 3D incompressible micropolar fluid system in the Fourier–Herz framework. By taking advantage of microlocal analysis and the mutual effect in the same frequency range of convection term, we give a special initial data(u0,ω0) whose norm of FB1,q^-1(q>2) is arbitrarily small, however, the couple(u0,ω0) produces a solution which is arbitrarily large in FB1,q^-1 after an arbitrarily short time. This implies the system is ill-posed in the sense of "norm inflation" as q>2.
注:因版權方要求,不能公開全文,如需全文,請咨詢雜志社