Global regular solutions to three-dimensional thermo-visco-elasticity with nonlinear temperature-dependent specific heat
DOI10.3934/cpaa.2017065zbMath1360.74028OpenAlexW2606669601MaRDI QIDQ523850
Irena Pawłow, Wojciech M. Zajączkowski
Publication date: 24 April 2017
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2017065
thermo-visco-elastic systemexistence of global regular solutionsKelvin-Voigt materialsnonlinear specific heatSobolev spaces with a mixed norm
Nonlinear elasticity (74B20) Thermal effects in solid mechanics (74F05) PDEs in connection with mechanics of deformable solids (35Q74)
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Cites Work
- Global regular solutions to two-dimensional thermoviscoelasticity
- Global existence of solutions to the nonlinear thermoviscoelasticity system with small data
- Nonlinearly coupled thermo-visco-elasticity
- Thermodynamics and analysis of rate-independent adhesive contact at small strains
- Unique solvability of a nonlinear thermoviscoelasticity system in Sobolev space with a mixed norm
- A quasilinear thermoviscoelastic system for shape memory alloys with temperature-dependent specific heat
- Modelling of thermodynamics of martensitic transformation in shape-memory alloys
- Homogenization and mechanical dissipation in thermoviscoelasticity
- Global existence, uniqueness, and asymptotic stability of classical smooth solutions in one-dimensional nonlinear thermoelasticity
- Estimates of solutions of the Stokes equations in S. L. Sobolev spaces with a mixed norm
- Optimal \(L^{p}\)- \(L^{q}\)-estimates for parabolic boundary value problems with inhomogeneous data
- Global solution to a phase transition model based on a microforce balance
- Global Regular Solutions to a Kelvin--Voigt Type Thermoviscoelastic System
- Thermodynamics of Rate-independent Processes in Viscous Solids at Small Strains
- Thermo-visco-elasticity at small strains with 𝐿¹-data
- Existence of solutions to a phase transition model with microscopic movements
- Global Smooth Solutions to the Initial-Boundary Value Problem for the Equations of One-Dimensional Nonlinear Thermoviscoelasticity
- Global smooth thermomechanical processes in one-dimensional nonlinear thermoviscoelasticity
- Global existence of solutions for non-small data to non-linear spherically symmetric thermoviscoelasticity
- Existence and uniqueness of solutions for a three-dimensional thermoelastic system
- Global in time existence of small solutions of non‐linear thermoviscoelastic equations
- A continuum theory for first‐order phase transitions based on the balance of structure order
- On equivalent norms for fractional spaces
- FUNCTION SPACES WITH MIXED NORM
- Existence of a solution for a nonlinear system in thermoviscoelasticity
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