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Some viscous flows that implement the principle of minimum dissipation of kinetic energy. (English. Russian original) Zbl 1014.76017

Comput. Math. Math. Phys. 39, No. 12, 2015-2019 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 12, 2098-2103 (1999).
Summary: The Helmholtz-Korteweg principle is a widely known principle of viscous incompressible fluid dynamics. The stationary point of the kinetic-energy-dissipation functional corresponds to linear Stokes equations describing slow creeping motions of viscous incompressible fluids. The behavior of the kinetic-energy-dissipation functional is analyzed here for internal flows of viscous fluids described by equations of motion different from Stokes equations.

MSC:

76D99 Incompressible viscous fluids
76M30 Variational methods applied to problems in fluid mechanics
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