The Exact Limits and Improved Decay Estimates for All Order Derivatives of the Global Weak Solutions of n-Dimensional Incompressible Navier-Stokes Equations  

作　　者：Ling-hai ZHANG 

机构地区：[1]Department of Mathematics,Lehigh University,Bethlehem,PA 18015 USA

出　　处：《Acta Mathematicae Applicatae Sinica》2025年第1期27-83,共57页应用数学学报(英文版)

摘　　要：We couple together existing ideas,existing results,special structure and novel ideas to accomplish the exact limits and improved decay estimates with sharp rates for all order derivatives of the global weak solutions of the Cauchy problem for an n-dimensional incompressible Navier-Stokes equations.We also use the global smooth solution of the corresponding heat equation to approximate the global weak solutions of the incompressible Navier-Stokes equations.

关 键 词：the incompressible Navier-Stokes equations global smooth solution global weak solutions local smooth solutions all order derivatives special structure novel ideas primary decay estimates with sharp rates exact limits improved decay estimates with sharp rates influence on numerical simulations 

分 类 号：O175[理学—数学]