|
|||||
|
|
Global solutions to the Navier‐Stokes‐Landau‐Lifshitz system |
|
| Authors: | Xiaoping Zhai Yongsheng Li Wei Yan |
| Affiliation: | 1. School of Mathematics, South China University of Technology, Guangzhou, Guangdong, P. R. China;2. +86 3. 13535125616+86 4. 87114347;5. 18224553461+86 6. 03733326174;7. College of Mathematics and Information Science, Henan Normal University, Xinxiang, Henan, P. R. China |
| Abstract: | This paper is dedicated to the study of the Navier‐Stokes‐Landau‐Lifshitz system. We obtain the global existence of a unique solution for this system without any small conditions imposed on the third component of the initial velocity field. Our methods mainly rely upon the Fourier frequency localization and Bony's paraproduct decomposition. |
| Keywords: | Navier‐Stokes‐Landau‐Lifshitz system Besov space Littlewood‐Paley theory 76D03 35Q35 |