Regular solutions and energy decay for the equation of viscoelasticity with nonlinear damping on the boundary

DOI10.1006/jmaa.1998.6004zbMath0913.35139OpenAlexW2038378043MaRDI QIDQ1270908

Nickolai A. Larkin, Cicero Lopes Frota, Alfredo T. Cousin

Publication date: 29 November 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6004

zbMATH Keywords

existence of global solutionsexponential decaylongitudinal oscillationsenergy decay of solutionsKelvin state equation

Mathematics Subject Classification ID

Related Items (1)

Decay rate for a class of viscoelasticity equation with nonlinear damping on the boundary

Cites Work

• The effect of boundary damping for the quasilinear wave equation
• Weak solutions for a nonlinear dispersive equation
• Velocity dependent boundary conditions for the displacement in a one dimensional viscoelastic material
• Energy decay for the quasilinear wave equation with viscosity
• The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
• A Degenerate Pseudoparabolic Regularization of a Nonlinear Forward-Backward Heat Equation Arising in the Theory of Heat and Mass Exchange in Stably Stratified Turbulent Shear Flow
• Model equations for long waves in nonlinear dispersive systems
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