Global existence and stability for a von Karman equations with memory in noncylindrical domains
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Publication:3583687
DOI10.1063/1.3253977zbMath1304.35735OpenAlexW2094069253MaRDI QIDQ3583687
Publication date: 17 August 2010
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.3253977
Stability in context of PDEs (35B35) Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Partial functional-differential equations (35R10) Higher-order nonlinear hyperbolic equations (35L75)
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Cites Work
- Global solvability and asymptotic behavior for a nonlinear coupled system of viscoelastic waves with memory in a noncylindrical domain
- Global decay rates for the solutions to a von Kármán plate without geometric conditions
- Global attractors for von Karman evolutions with a nonlinear boundary dissipation.
- Exponential decay for Kirchhoff wave equation with nonlocal condition in a noncylindrical domain
- Global attractors for von Kármán equations with nonlinear interior dissipation
- Null controllability of von Kármán thermoelastic plates under the clamped or free mechanical boundary conditions
- Existence and uniform decay for a nonlinear beam equation with nonlinearity of Kirchhoff type in domains with moving boundary
- Uniform decay for a von Karman plate equation with a boundary memory condition
- Stability for the beam equation with memory in non‐cylindrical domains
