Variational Principle for Velocity-Pressure Formulation of Navier-Stokes Equations
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🧮 math.AP
keywords
equationsnavier-stokesvariationaladjointprincipleprovidedsamesolution
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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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