On a new derivation of the Navier-Stokes equation

DOI10.1007/BF01940961zbMath0404.35079OpenAlexW1992168277MaRDI QIDQ1256654

Atsushi Inoue, Tadahisa Funaki

Publication date: 1979

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01940961

zbMATH Keywords

StochasticVariational MethodsEuler EquationEnergy FunctionalNavier - Stokes Equations

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Euler-Poisson-Darboux equations (35Q05) Second-order parabolic equations (35K10)

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Cites Work

• Unnamed Item
• Unnamed Item
• On the stability of viscous fluid motions
• Stochastic differentials
• Infinite dimensional Lie transformation groups
• On classical solutions of the two-dimensional non-stationary Euler equation
• Groups of diffeomorphisms and the motion of an incompressible fluid
• Mathematical questions relating to viscous fluid flow in an exterior domain
• ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID