A variational scheme for Naiver-Stokes Equations
[Moved Online] Connections Workshop: Mathematical problems in fluid dynamics January 20, 2021 - January 22, 2021
Location: SLMath: Online/Virtual
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
A Variational Scheme For Naiver-Stokes Equations
In this talk we consider a minimizing movements type scheme for the incompressible Navier-Stokes equations, combining the Lagrangian and Eulerian viewpoints. Our scheme is an improved version of the split scheme introduced in Ebin-Marsden. An essential ingredient is the H^1 projection problem, which is a viscous analogue of the L^2 projection introduced by Brenier for evolving the incompressible Euler equation.
We will discuss the scheme and the regularity of solutions it produces.
The talk is based on a joint work with Wilfrid Gangbo and Matt Jacobs.
A Variational Scheme For Naiver-Stokes Equations
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