Maximum Norm Estimates of the Solution of the Navier-Stokes Equations in the Halfspace with Bounded Initial Data

In this paper, I consider the Cauchy problem for the incompressible Navier-Stokes equations in ℝ+n for n≥3 with bounded initial data and derive a priori estimates of the maximum norm of all derivatives of the solution in terms of the maximum norm of the initial data. This paper is a continuation of...

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Bibliographic Details
Main Author: Santosh Pathak
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2021/6686526