Exponential stability of extensible beams equation with Balakrishnan–Taylor, strong and localized nonlinear damping

DOI10.1007/S00233-024-10419-9MaRDI QIDQ6499020

Publication date: 8 May 2024

Published in: Semigroup Forum (Search for Journal in Brave)

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Higher-order quasilinear hyperbolic equations (35L77)

Cites Work

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Long-time dynamics of Balakrishnan-Taylor extensible beams
Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan-Taylor damping
Wave equations with strong damping in Hilbert spaces
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Dynamics of a Cauchy problem related to extensible beams under nonlocal and localized damping effects
A class of integro-differential equations incorporating nonlinear and nonlocal damping with applications in nonlinear elastodynamics: Existence via time discretization
Elastic membrane equation in bounded and unbounded domains
Well-posedness and asymptotic stability results for a viscoelastic plate equation with a logarithmic nonlinearity
Decay estimate in a viscoelastic plate equation with past history, nonlinear damping, and logarithmic nonlinearity

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