General stability of solutions for a viscoelastic wave equations of Kirchhoff type with acoustic boundary conditions

DOI10.1002/MMA.3742zbMath1342.35380OpenAlexW2280094845MaRDI QIDQ5741661

Jum-Ran Kang

Publication date: 29 July 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3742

zbMATH Keywords

relaxation functiongeneral decayacoustic boundary conditionsviscoelastic wave equationKirchhoff typemodified energy functional

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear constitutive equations for materials with memory (74D10) Second-order hyperbolic equations (35L10) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (7)

Polynomial decay rate of a variable coefficient wave equation with memory type acoustic boundary conditions ⋮ General decay and blowup of solutions for a degenerate viscoelastic equation of Kirchhoff type with source term ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Asymptotic behavior for a viscoelastic Kirchhoff-type equation with delay and source terms ⋮ Dynamics of solutions to a semilinear plate equation with memory ⋮ Well-posedness and stability for Kirchhoff equation with non-porous acoustic boundary conditions ⋮ The damped wave equation with acoustic boundary conditions and non-locally reacting surfaces

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