Beam evolution equation with variable coefficients

DOI10.1002/MMA.577zbMath1067.35129OpenAlexW2020352868MaRDI QIDQ4667729

A. J. R. Feitosa, Juan Limaco, Haroldo R. Clark

Publication date: 21 April 2005

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

Full work available at URL: https://doi.org/10.1002/mma.577

zbMATH Keywords

strong solutionsnonlinear beam equationdecay ratelinear internal dampingexistence of a unique global weak solutionfully clamped boundary

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items (4)

Remarks on thin quasilinear plates with mixed boundary conditions ⋮ On a beam model with degenerate nonlocal nonlinear damping ⋮ Global solution and asymptotic behavior for the variable coefficient beam equation with nonlinear damping ⋮ Remarks on the beam evolution equations in noncylindrical domains

Cites Work

• Unnamed Item
• On a new class of nonlinear wave equations
• On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
• Free vibrations and dynamic buckling of the extensible beam
• Initial-boundary value problems for an extensible beam
• Decay estimates for the generalized damped extensible string and beam equations
• Existence, uniqueness and asymptotic behavior for solutions of the nonlinear beam equation
• Remark on the decay for damped string and beam equations

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