Solutions of Burgers, Reynolds, and Navier–Stokes Equations via Stochastic Perturbations of Inviscid Flows

DOI10.1142/S1402925110000775zbMath1362.58019MaRDI QIDQ5737655

Yuri E. Gliklikh

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Burgers equationReynolds equationflat torusNavier-Stokes equationperfect incompressible fluidgroup of diffeomorphismsstochastic perturbationdiffuse matter

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Stochastic analysis applied to problems in fluid mechanics (76M35) Applications of stochastic analysis (to PDEs, etc.) (60H30) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (6)

On a Forward-backward Stochastic System Associated to the Burgers Equation ⋮ Stochastic Lagrange approach to viscous hydrodynamics ⋮ Stochastic variational formulations of fluid wave-current interaction ⋮ Circulation and Energy Theorem Preserving Stochastic Fluids ⋮ Non-Newtonian fluids and stochastic analysis on the groups of diffeomorphisms ⋮ Piecewise-tunneled captive processes and corridored random particle systems

Cites Work

• Global analysis in mathematical physics. Geometric and stochastic methods. Transl. from the Russian by V. L. Ginzburg.
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