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arXiv · 1705.01405

Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations

Shahrdad G. Sajjadi
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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.

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Shahrdad G. Sajjadi. 2017-04-30. Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations. https://arxiv.org/abs/1705.01405

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