Model for laminar and turbulent flows of viscous and nonlinear viscous non-Newtonian fluids

DOI10.1063/1.3578752zbMath1317.35205OpenAlexW1976361425MaRDI QIDQ5265999

William G. Litvinov

Publication date: 29 July 2015

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

Full work available at URL: https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/1470

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Turbulent boundary layers (76F40) Isotropic turbulence; homogeneous turbulence (76F05)

Related Items (4)

On the asymptotics of the motion of a nonlinear viscous fluid ⋮ Existence of optimal control for a nonlinear-viscous fluid model ⋮ Weak solvability of the nonlinearly viscous Pavlovskii model ⋮ Uniform attractors for non-autonomous systems of nonlinearly viscous fluid

Cites Work

• On a problem of the flow of a viscous fluid
• Implementation of the LANS-\(\alpha\) turbulence model in a primitive equation ocean model
• Efficient form of the LANS-\(\alpha \) turbulence model in a primitive-equation ocean model
• Predictions of two-dimensional boundary layers with the aid of the k- epsilon model of turbulence
• On the existence of certain singular integrals
• THE VORTEX BLOB METHOD AS A SECOND-GRADE NON-NEWTONIAN FLUID
• Mathematics of Large Eddy Simulation of Turbulent Flows
• Mathematical Problems of Statistical Hydromechanics
• Comments on the validity of a common category of constitutive equations
• Global well–posedness for the Lagrangian averaged Navier–Stokes (LANS–α) equations on bounded domains
• Weak convergence in nonlinear elliptic and parabolic equations
• Applications of functional analysis and operator theory
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory
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