Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations
Analysis of PDEs
2017-05-04 v1
Abstract
The work described here shows that the known variational principle for the Navier-Stokes equations and the adjoint system can be modified to produce a set of Euler-Lagrange variational equations which have the same order and same solution as the Navier-Stokes equations provided the adjoint system has a unique solution, and provided in the steady state case, that the Reynolds number remains finite.
Keywords
Cite
@article{arxiv.1705.01405,
title = {Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations},
author = {Shahrdad G. Sajjadi},
journal= {arXiv preprint arXiv:1705.01405},
year = {2017}
}
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10 pages