On the temporal estimates for the incompressible Navier-Stokes equations and Hall-magnetohydrodynamic equations

Autor: Bae, Hantaek, Jung, Jinwook, Shin, Jaeyong
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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
Databáze: arXiv