Global existence and energy decay of a nondissipative Cauchy viscoelastic problem
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Publication:2788684
DOI10.1090/qam/1420zbMath1339.35045OpenAlexW1843312712MaRDI QIDQ2788684
Muhammad I. Mustafa, Mohammad M. Kafini
Publication date: 22 February 2016
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/1420
Asymptotic behavior of solutions to PDEs (35B40) Linear constitutive equations for materials with memory (74D05) Initial value problems for second-order hyperbolic equations (35L15) Integro-partial differential equations (35R09) Second-order semilinear hyperbolic equations (35L71)
Cites Work
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- On the uniform decay in viscoelastic problems in \(\mathbb R^n\)
- The Cauchy problem in one-dimensional nonlinear viscoelasticity
- Exponential decay for a viscoelastic problem with a singular kernel
- A blow-up result in a Cauchy viscoelastic problem
- General decay rates of solutions to a nonlinear wave equation with boundary condition of memory type.
- On a class of quasilinear partial integrodifferential equations with singular kernels
- Development of singularities in the motion of materials with fading memory
- The propagation of solitary waves in a nonlinear elastic rod
- Existence of a solution of the wave equation with nonlinear damping and source terms
- Stable and unstable sets for the Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- On nonlinear hyperbolic problems with nonlinear boundary feedback
- Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.
- Existence and uniform decay of the wave equation with nonlinear boundary damping and boundary memory source term
- Decay estimates of solutions for dissipative wave equations in \(\mathbb R^N\) with lower power nonlinearities
- Asymptotic behavior and blow-up of solutions to a nonlinear evolution equation of fourth order
- Uniform boundedness and stability for a viscoelastic problem
- Equipartition of energy in linearized 3-D viscoelasticity
- The energy decay problem for wave equations with nonlinear dissipative terms in $\mathbb{R}^n$
- Exponential decay for a quasilinear viscoelastic equation
- A Model Equation for Viscoelasticity with a Strongly Singular Kernel
- Cauchy problem for a nonlinear wave equation with nonlinear damping and source terms
- Frictional versus Viscoelastic Damping in a Semilinear Wave Equation
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