Mathematical modelling in nonlocal Mindlin’s strain gradient thermoelasticity with voids
DOI10.1051/mmnp/2022042zbMath1527.35407OpenAlexW4295817413WikidataQ114105330 ScholiaQ114105330MaRDI QIDQ6043851
Publication date: 25 May 2023
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2022042
nonlocalityexponential stabilityporous elasticitynonlocal heat conductionlack of analyticityMindlin's strain gradient
Stability in context of PDEs (35B35) Linear elasticity with initial stresses (74B10) Thermal effects in solid mechanics (74F05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Irreversible thermodynamics, including Onsager-Machlup theory (82B35) PDEs in connection with mechanics of deformable solids (35Q74) Higher-order nonlinear hyperbolic equations (35L75) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
- A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
- Thermoelastic models of continua
- Exponential decay in one-dimensional porous-thermo-elasticity
- Semigroups of linear operators and applications to partial differential equations
- Nonlocal thermoelasticity based on nonlocal heat conduction and nonlocal elasticity
- Analysis for the strain gradient theory of porous thermoelasticity
- Asymptotic stability of porous-elastic system with thermoelasticity of type III
- Micro-inertia effects on existence of attractors for form II Mindlin's strain gradient viscoelastic plate
- Surface waves in porous nonlocal thermoelastic orthotropic medium
- Size-dependent damping of a nanobeam using nonlocal thermoelasticity: extension of Zener, Lifshitz, and Roukes' damping model
- On the time decay of solutions in one-dimensional theories of porous materials
- Caractérisation de quelques espaces d'interpolation
- Micro-structure in linear elasticity
- Nonlocal Continuum Field Theories
- On the Spectrum of C 0 -Semigroups
- Spectral Theory for Contraction Semigroups on Hilbert Space
- ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
- Nonlocal theory of thermoelastic materials with voids and fractional derivative heat transfer
- Exponential stability in Mindlin’s Form II gradient thermoelasticity with microtemperatures of type III
- Nonlinear Differential Equations of Monotone Types in Banach Spaces
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