On the temporal estimates for the incompressible Navier-Stokes equations and Hall-magnetohydrodynamic equations
- Resource Type
- Working Paper
- Authors
- Bae, Hantaek; Jung, Jinwook; Shin, Jaeyong
- Source
- Subject
- Mathematics - Analysis of PDEs
35Q85, 35D35
- Language
In this paper, we derive decay rates of the solutions to the incompressible Navier-Stokes equations and Hall-magnetohydrodynamic equations. We first improve the decay rate of weak solutions of these equations by refining the Fourier splitting method with initial data in the space of pseudo-measures. We also deal with these equations with initial data in Lei-Lin spaces and find decay rates of solutions in Lei-Lin spaces.
Comment: 17 pages