Variational principles for nonlinear PDE systems via duality
Mathematical Physics
2022-08-23 v4 Analysis of PDEs
math.MP
Abstract
A formal methodology for developing variational principles corresponding to a given nonlinear PDE system is discussed. The scheme is demonstrated in the context of the incompressible Navier-Stokes equations, systems of first-order conservation laws, and systems of Hamilton- Jacobi equations.
Cite
@article{arxiv.2108.08902,
title = {Variational principles for nonlinear PDE systems via duality},
author = {Amit Acharya},
journal= {arXiv preprint arXiv:2108.08902},
year = {2022}
}
Comments
The paper is to appear in Quarterly of Applied Mathematics