On the Solutions of the Three Dimensional Navier-Stokes Problem
Assane Lo
TL;DR
This paper develops a convolution-based method to construct smooth solutions for the three-dimensional Navier-Stokes equations with conservative source terms, addressing a fundamental problem in fluid dynamics.
Contribution
It introduces a novel convolution approach to obtain well-behaved solutions for the 3D Navier-Stokes problem with source terms, advancing theoretical understanding.
Findings
Successfully constructs smooth solutions using convolution methods
Provides a framework for solving Navier-Stokes with source terms
Enhances mathematical tools for fluid dynamics analysis
Abstract
The aim of this paper is to solve the three dimensional Navier-Stokes problem with conservative source term. We use convolution methods to construct "well behaved" smooth solutions of the initial boundary value problem for the system of Navier-Stokes with conservative source term.
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Taxonomy
TopicsStability and Controllability of Differential Equations · Differential Equations and Numerical Methods · Navier-Stokes equation solutions