Stochastic shear thickening fluids: strong convergence of the Galerkin approximation and the energy equality

DOI10.1214/11-AAP794zbMath1242.76146arXiv1009.2136MaRDI QIDQ433911

Nobuo Yoshida

Publication date: 8 July 2012

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.2136

zbMATH Keywords

stochastic partial differential equationGalerkin approximationenergy equalitypower law fluids

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (7)

Global-in-time probabilistically strong solutions to stochastic power-law equations: existence and non-uniqueness ⋮ Existence theory for stochastic power law fluids ⋮ Temporal regularity of symmetric stochastic \(p\)-Stokes systems ⋮ Essential \(m\)-dissipativity of Kolmogorov operators for the \(2D\)-stochastic shear thickening fluids ⋮ Electro-rheological fluids under random influences: martingale and strong solutions ⋮ Solution to a stochastic 3D nonlocal Cahn-Hilliard-Navier-Stokes model with shear dependent viscosity via a splitting-up method ⋮ Space-Time Approximation of Stochastic $p$-Laplace-Type Systems

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• Martingale and stationary solutions for stochastic Navier-Stokes equations
• Randomly forced nonlinear PDEs and statistical hydrodynamics in 2 space dimensions
• An Introduction to 3D Stochastic Fluid Dynamics

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