On a variational approach to the Navier-Stokes Equations
Arkady Poliakovsky
TL;DR
This paper presents a variational framework for deriving weak solutions to the incompressible Navier-Stokes equations, offering a new perspective on their mathematical formulation.
Contribution
It introduces a novel variational approach to obtain weak solutions, enhancing understanding of the Navier-Stokes equations' mathematical structure.
Findings
Weak solutions re-derived via variational methods
Provides new insights into the mathematical properties of solutions
Potential for improved numerical methods
Abstract
Weak solutions of incompressible Navier-Stokes Equations re-obtained variationally
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Taxonomy
TopicsNavier-Stokes equation solutions · Stability and Controllability of Differential Equations · Advanced Mathematical Modeling in Engineering