Energy decay and global attractors for thermoviscoelastic systems
From MaRDI portal
Publication:663435
DOI10.1007/s10440-011-9657-zzbMath1255.74030OpenAlexW2088535404MaRDI QIDQ663435
Publication date: 15 February 2012
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-011-9657-z
Thermal effects in solid mechanics (74F05) Linear constitutive equations for materials with memory (74D05) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
On the decay rates for thermoviscoelastic systems of type III ⋮ On the boundary control of thermoviscoelastic systems of type III ⋮ A uniform stability result for thermoelasticity of type III with boundary distributed delay
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear parabolic-hyperbolic coupled systems and their attractors
- Energy decay in a Timoshenko-type system of thermoelasticity of type III
- On the control of solutions of viscoelastic equations with boundary feedback
- Semigroups of linear operators and applications to partial differential equations
- Exponential stabilization of Volterra integrodifferential equations in Hilbert space
- Exponential stabilization of Volterra integral equations with singular kernels
- The exponential stabilization of the higher-dimensional linear system of thermoviscoelasticity
- Infinite-dimensional dynamical systems in mechanics and physics
- Asymptotic stability in linear thermoviscoelasticity
- Thermoelasticity without energy dissipation
- Decay rates for the three-dimensional linear system of thermoelasticity
- On the type of \(C_ 0\)-semigroup associated with the abstract linear viscoelastic system
- General decay rate estimates for viscoelastic dissipative systems
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- On the exponential decay in thermoelasticity without energy dissipation and of type III in the presence of an absorbing boundary
- Existence and decay of solutions of a viscoelastic equation with a nonlinear source
- Global attractor for a nonlinear thermoviscoelastic model with a non-convex free energy density
- An abstract Volterra equation with applications to linear viscoelasticity
- Asymptotic stability in viscoelasticity
- Stability in thermoelasticity of type III
- A re-examination of the basic postulates of thermomechanics
- The decay of the energy in a viscoelastic body
- Semigroup Theory and Numerical Approximation for Equations in Linear Viscoelasticity
- A new method to obtain decay rate estimates for dissipative systems
- An approximation framework for equations in linear viscoelasticity with strongly singular kernels
- Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
- Maximal attractor for the system of one-dimensional polytropic viscous ideal gas
- On boundary feedback stabilization of a viscoelastic membrane
- DECAY OF SOLUTIONS OF THE SYSTEM OF THERMOELASTICITY OF TYPE III
- On the exponential stability of linear viscoelasticity and thermoviscoelasticity
- Cauchy problems for linear thermoelastic systems of type III in one space variable
- Global attractors for a semilinear hyperbolic equation in viscoelasticity
- Universal attractors for the Navier-Stokes equations of compressible and heat-conductive fluid in bounded annular domains in \(\mathbb{R}^n\)
