A general stability result for a viscoelastic von Karman equation

DOI10.1002/mma.9428OpenAlexW4378760189MaRDI QIDQ6143250

Sun Hye Park

Publication date: 23 January 2024

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

Full work available at URL: https://doi.org/10.1002/mma.9428

zbMATH Keywords

convexityvon Karman equationelliptic-hyperbolic systemgeneral stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for higher-order elliptic equations (35J40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) PDEs in connection with mechanics of deformable solids (35Q74) Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)

Cites Work

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• Existence and sharp decay rate estimates for a von Karman system with long memory
• General decay to a von Kármán system with memory
• Exponential stability in linear viscoelasticity with almost flat memory kernels
• Global existence, uniqueness and regularity of solutions to a von Kármán system with nonlinear boundary dissipation
• General decay for a von Karman equation of memory type with acoustic boundary conditions
• General decay properties of abstract linear viscoelasticity
• Exponential stability in linear viscoelasticity
• Decay rates of solutions to a von Kármán system for viscoelastic plates with memory

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