Global and exponential attractors for mixtures of solids with Fourier's law

DOI10.1016/j.nonrwa.2021.103391zbMath1479.35128OpenAlexW3186776912MaRDI QIDQ2061555

Yanyan Li

Publication date: 15 December 2021

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103391

zbMATH Keywords

global attractorsFourier lawexponential attractors, parabolic-hyperbolic systemmixture of solids

Mathematics Subject Classification ID

Attractors (35B41) Second-order parabolic systems (35K40) Second-order hyperbolic systems (35L51)

Related Items

Singular limits of binary mixtures in solids theory, Asymptotic dynamics for fractionally damped swelling porous elastic soils with memory

Cites Work

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• Dynamics of quasi-stable dissipative systems
• Exponential decay in a thermoelastic mixture of solids
• A plasticity theory for fluid-saturated porous solids
• Theories of immiscible and structured mixtures
• On the problem of fluid- and gas-filled elasto-plastic solids
• Incompressible porous media models by use of the theory of mixtures
• Exponential stability for one-dimensional problem of swelling porous elastic soils with fluid saturation
• Decay of solutions for a mixture of thermoelastic solids with different temperatures
• On the stabilization of linear porous elastic materials by microtemperature effect and porous damping
• A type III thermoelastic problem with mixtures
• Pullback dynamics of a non-autonomous mixture problem in one dimensional solids with nonlinear damping
• Blow-up result and energy decay rates for binary mixtures of solids with nonlinear damping and source terms
• A mixture of thermoelastic solids with two temperatures
• Global attractors for a mixture problem in one dimensional solids with nonlinear damping and sources terms
• Diffusion in mixtures of elastic materials
• Von Karman Evolution Equations
• A two-phase mixture theory for the deflagration-to-detonation transition (ddt) in reactive granular materials
• CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
• Continuum Theories of Mixtures: Applications
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Stability results for elastic porous media swelling with nonlinear damping
• Dissipative periodic processes
• Singular Limit and Long-Time Dynamics of Bresse Systems
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Stabilization of swelling porous elastic soils with fluid saturation and delay time terms