Deterministic and stochastic control of Navier-Stokes equation with linear, monotone, and hyperviscosities

DOI10.1007/s0024599110140zbMath0951.76023OpenAlexW2169740899MaRDI QIDQ1964698

Sivaguru S. Sritharan

Publication date: 23 February 2000

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s0024599110140

zbMATH Keywords

existence of optimal controlsstochastic Navier-Stokes equationmartingale problem formulationdeterministic Navier-Stokes equationeddy viscosity type turbulence closure modelsMinty-Browder techniqueTonelli-type ordinary controlsYoung-type chattering controls

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Statistical turbulence modeling (76F55) Stochastic analysis applied to problems in fluid mechanics (76M35) Existence theories for optimal control problems involving partial differential equations (49J20) Flow control and optimization for incompressible viscous fluids (76D55) Existence of optimal solutions to problems involving randomness (49J55)

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