Strong solution of modified 3D-Navier-stockes equations
Maroua Ltifi
TL;DR
This paper investigates a modified 3D Navier-Stokes equation incorporating a logarithmic damping term, employing novel analytical methods and Fourier analysis to establish strong solutions.
Contribution
It introduces new techniques and tools to analyze the modified equations, advancing understanding of their well-posedness and solution behavior.
Findings
Existence of strong solutions under certain conditions
Development of new analytical methods for modified Navier-Stokes equations
Application of Fourier analysis to study damping effects
Abstract
In this paper we study the incompressible Navier-Stokes equations with logarithme damping {\alpha} log(e + |u|2)|u|2u, where we used new methods, new tools and Fourier analysis
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Taxonomy
TopicsNavier-Stokes equation solutions · Stability and Controllability of Differential Equations · Advanced Mathematical Physics Problems