Application of group analysis to stochastic equations of fluid dynamics

DOI10.1134/S0021894413010033zbMath1298.76135MaRDI QIDQ469421

Sergey V. Meleshko, O. Sumrum, Eckart Schulz

Publication date: 11 November 2014

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsstochastic equationsinvariant solutionsgroup analysisequations of gas dynamics

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Statistical solutions of Navier-Stokes and related equations (76D06)

Related Items (1)

Stochastic Bifurcations of Group-Invariant Solutions for a Generalized Stochastic Zakharov–Kuznetsov Equation

Uses Software

• REDUCE

Cites Work

• Symmetries of integro-differential equations. With applications in mechanics and plasma physics
• Symmetries of Itô and Stratonovich dynamical systems and their conserved quantities
• Approximate symmetries and conservation laws for Itô and Stratonovich dynamical systems
• On the definition of an admitted Lie group for stochastic differential equations
• Symmetries and conserved quantities of stochastic dynamical control systems
• Methods for constructing exact solutions of partial differential equations. Mathematical and analytical techniques with applications to engineering
• Equations stochastiques du type Navier-Stokes
• Integration of stochastic ordinary differential equations from a symmetry standpoint
• The Malliavin Calculus and Related Topics
• On the definition of an admitted Lie group for stochastic differential equations with multi-Brownian motion
• A remark on symmetry of stochastic dynamical systems and their conserved quantities
• Turbulent Flows
• Stochastic Navier--Stokes Equations for Turbulent Flows
• New conserved quantities derived from symmetry for stochastic dynamical systems
• Lie-point symmetries and stochastic differential equations
• Handbook of stochastic methods for physics, chemistry and natural sciences.
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