On the Ladyzhenskaya-Smagorinsky turbulence model of the Navier-Stokes equations in smooth domains. The regularity problem

DOI10.4171/JEMS/144zbMath1155.35073OpenAlexW2161308351MaRDI QIDQ1001616

Hugo Beirão da Veiga

Publication date: 19 February 2009

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_pdf.php?issn=1435-9855&vol=11&iss=1&rank=2

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Fundamentals of turbulence (76F02)

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Cites Work

• Unnamed Item
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• Unnamed Item
• Navier-Stokes equations with shear-thickening viscosity. Regularity up to the boundary
• Navier-Stokes equations with shear thinning viscosity. Regularity up to the boundary
• Turbulence models, p-fluid flows, and \(W^{2, L}\) regularity of solutions
• On the regularity of shear thickening viscous fluids
• Weak solutions for a class of non-Newtonian fluids with energy transfer
• Variational methods for problems from plasticity theory and for generalized Newtonian fluids
• Electrorheological fluids: modeling and mathematical theory
• Regularity results for stationary electro-rheological fluids
• Regularity for Stokes and generalized Stokes systems under nonhomogeneous slip-type boundary conditions
• Existence for a class of non-Newtonian fluids with a nonlocal friction boundary condition
• HERSCHEL–BULKLEY FLUIDS: EXISTENCE AND REGULARITY OF STEADY FLOWS
• STEADY-STATE FLOWS OF THERMAL VISCOUS INCOMPRESSIBLE FLUIDS WITH CONVECTIVE-RADIATION EFFECTS
• The multiscale formulation of large eddy simulation: Decay of homogeneous isotropic turbulence
• On the regularity of flows with Ladyzhenskaya Shear-dependent viscosity and slip or non-slip boundary conditions
• Existence, uniqueness and regularity of solution of the equations of a turbulence model for incompressible fluids
• Sur certaines équations paraboliques non linéaires
• Mathematical modeling of electrorheological materials
• Regularity of solutions of two-dimensional equations in fluid dynamics models with nonlinear viscosity
• On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)

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