Beam equation with weak-internal damping in domain with moving boundary.

DOI10.1016/S0168-9274(03)00066-7zbMath1068.74035OpenAlexW2080950104MaRDI QIDQ1412337

D. Massart

Publication date: 10 November 2003

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(03)00066-7

zbMATH Keywords

ExistenceUniquenessAsymptotic behavior

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25)

Related Items (13)

On the dissipative Boussinesq equation in a non-cylindrical domain ⋮ Analysis and Numerical Simulation of Viscous Burgers Equation ⋮ Numerical analysis for a thermoelastic diffusion problem in moving boundary ⋮ Remarks on thin quasilinear plates with mixed boundary conditions ⋮ Initial-boundary value problem for a nonlinear beam vibration equation ⋮ On a beam model with degenerate nonlocal nonlinear damping ⋮ A numerical method for a nonlinear system of integro-differential equations arising in thermoviscoelasticity ⋮ Reaction-diffusion equations in a noncylindrical thin domain ⋮ Analysis and numerical solution of Benjamin-Bona-Mahony equation with moving boundary ⋮ Theoretical and computational analysis of a nonlinear Schrödinger problem with moving boundary ⋮ Finite element approximation to a contact problem for a nonlinear thermoviscoelastic beam ⋮ On the solutions for an extensible beam equation with internal damping and source terms ⋮ A numerical algorithm for a Kirchhoff-type nonlinear static beam

Cites Work

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• Nonlinear initial-boundary value problems
• ON A CLASS OF QUASILINEAR HYPERBOLIC EQUATIONS
• The initial value problem for a nonlinear semi-infinite string

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