Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 189
Sharp well-posedness and ill-posedness for the 3-D micropolar fluid system in critical Fourier-Besov-Morrey Spaces
Fatima Ouidirne, Chakir Allalou, Mohamed Oukessou
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 25, 2022
March 03, 2171
April 15, 2171

Abstract: In this work, we show that the Cauchy problem of the incompressible micropolar fluid system is locally well-posed in Fourier-Besov-Morrey spaces and is globally well-posed in these spaces with small initial data we also prove that this problem is ill-posed in some cases.