Exponential stability of the von Kármán system with internal damping

DOI10.1515/gmj-2023-2063MaRDI QIDQ6192039

Carlos Alberto Raposo, Roseane Martins, Joilson O. Ribeiro, Octavio P. Vera Villagrán

Publication date: 12 February 2024

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

exponential decayvon Kármán systeminternal dampingelliptic-hyperbolic systemexistence of the solutionnonlinear Lipschitz perturbation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Plates (74K20) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order semilinear hyperbolic equations (35L76)

Cites Work

• Stabilization of von Kármán plate in the presence of thermal effects in a subsonic potential flow of gas
• General decay to a von Kármán system with memory
• Attractors and long-time behavior of von Kármán thermoelastic plates
• Long-time dynamics of vectorial von Karman system with nonlinear thermal effects and free boundary conditions
• The beam equation as a limit of a 1-D nonlinear von Kármán model
• General decay for a viscoelastic von Karman equation with delay and variable exponent nonlinearities
• Exponential stabilization of the full von Kármán beam by a thermal effect and a frictional damping
• Stabilization of Berger–Timoshenko's equation as limit of the uniform stabilization of the von Kármán system of beams and plates
• ON THE ATTRACTOR FOR A SEMILINEAR WAVE EQUATION WITH CRITICAL EXPONENT AND NONLINEAR BOUNDARY DISSIPATION
• Existence and decay results for a von Karman equation with variable exponent nonlinearities
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