The Exact Limits and Improved Decay Estimates for All Order Derivatives of Global Weak Solutions of Three Incompressible Fluid Dynamics Equations
Year: 2023
Author: Linghai Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 803–903
Abstract
First of all, the author accomplishes the exact limits for all order derivatives of the global weak solutions of the $n$-dimensional incompressible magnetohydrodynamics equations, the $n$-dimensional incompressible Navier-Stokes equations and the two-dimensional incompressible dissipative quasi-geostrophic equation. Secondly, by making use of the exact limits, he establishes the improved decay estimates with sharp rates for all order derivatives of the global weak solutions, for all sufficiently large $t.$ The author proves these results by making use of existing ideas, existing results and several new, novel ideas.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2023.803
Journal of Nonlinear Modeling and Analysis, Vol. 5 (2023), Iss. 4 : pp. 803–903
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 101
Keywords: Incompressible fluid dynamics equations global weak solutions all order derivatives exact limits improved decay estimates with sharp rates.