Kelvin–Voigt equations with anisotropic diffusion, relaxation and damping: Blow-up and large time behavior

DOI10.3233/ASY-201597zbMath1472.35284OpenAlexW2999605720MaRDI QIDQ4999978

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Publication date: 5 July 2021

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3233/asy-201597

zbMATH Keywords

blow-uplarge time behavioranisotropic diffusionanisotropic dampingKelvin-Voigt equationsanisotropic relaxation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Linear elasticity with initial stresses (74B10) Viscoelastic fluids (76A10) Blow-up in context of PDEs (35B44)

Related Items (8)

An inverse problem for the pseudo-parabolic equation with p-Laplacian ⋮ Kelvin-Voigt equations for incompressible and nonhomogeneous fluids with anisotropic viscosity, relaxation and damping ⋮ Inverse problem for integro-differential Kelvin-Voigt equations ⋮ Pseudoparabolic equations with variable exponents and coefficients: blow-up and large time behaviors ⋮ On an inverse problem for a linearized system of Navier-Stokes equations with a final overdetermination condition ⋮ An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition ⋮ The classical Kelvin–Voigt problem for incompressible fluids with unknown non-constant density: existence, uniqueness and regularity ⋮ Cauchy problem for the Navier-Stokes-Voigt model governing nonhomogeneous flows

Cites Work

• Anisotropically diffused and damped Navier-Stokes equations
• Evolution problems of Navier-Stokes type with anisotropic diffusion
• Kelvin-Voight equation with \(p\)-Laplacian and damping term: existence, uniqueness and blow-up
• A note on the anisotropic generalizations of the Sobolev and Morrey embedding theorems
• Global well-posedness of the three-dimensional viscous and inviscid simplified Bardina turbulence models
• Blow-up of solutions to parabolic equations with nonstandard growth conditions
• Stopping a viscous fluid by a feedback dissipative field. I: The stationary Stokes problem
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Generalized Kelvin-Voigt equations with \(p\)-Laplacian and source/absorption terms
• Analysis of the existence for the steady Navier-Stokes equations with anisotropic
• The study of initial-boundary value problems for mathematical models of the motion of Kelvin-Voigt fluids
• Stopping a viscous fluid by a feedback dissipative field. II: The stationary Navier-Stokes problem
• Teoremi di inclusione per spazi di Sobolev non isotropi
• Kelvin-Voigt equations perturbed by anisotropic relaxation, diffusion and damping
• The Navier–Stokes problem modified by an absorption term
• On Analysis of Steady Flows of Fluids with Shear-Dependent Viscosity Based on the Lipschitz Truncation Method
• Energy methods for free boundary problems. Applications to nonlinear PDEs and fluid mechanics
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