Evolution problems of Navier-Stokes type with anisotropic diffusion

DOI10.1007/s13398-015-0262-2zbMath1348.35181OpenAlexW2281138986MaRDI QIDQ326737

Hermenegildo Borges de Oliveira, Stanislav N. Antontsev

Publication date: 12 October 2016

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-015-0262-2

zbMATH Keywords

existenceanisotropic diffusionNavier-Stokesexponential time decayfinite time extinctionpower time decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Weak solutions to PDEs (35D30)

Related Items (4)

Kelvin-Voigt equations perturbed by anisotropic relaxation, diffusion and damping ⋮ Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping ⋮ Generalized Navier–Stokes equations with nonlinear anisotropic viscosity ⋮ Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• New approach to the solvability of generalized Navier-Stokes equations
• Localization of solutions of anisotropic parabolic equations
• Existence and regularity for critical anisotropic equations with critical directions
• Anisotropic equations: uniqueness and existence results.
• A note on the anisotropic generalizations of the Sobolev and Morrey embedding theorems
• Singular and degenerate anisotropic parabolic equations with a nonlinear source
• The resolution of the Navier-Stokes equations in anisotropic spaces
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Improvement of some anisotropic regularity criteria for the Navier-Stokes equations
• Analysis of the existence for the steady Navier-Stokes equations with anisotropic
• On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
• Existence of weak solutions for unsteady motions of generalized Newtonian fluids
• Fluids with anisotropic viscosity
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics

This page was built for publication: Evolution problems of Navier-Stokes type with anisotropic diffusion