Stability of vibrations for some Kirchhoff equation with dissipation.

DOI10.1007/s10492-014-0050-xzbMath1324.35114OpenAlexW2093599079MaRDI QIDQ464701

Samarjit Kar, Prasanta Kumar Nandi, Ganesh C. Gorain

Publication date: 29 October 2014

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10338.dmlcz/143630

zbMATH Keywords

stabilizationdissipationvibrationKirchhoff equationenergy decay estimate

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Stability problems for infinite-dimensional dissipative dynamical systems (37L15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic stability for nonlinear Kirchhoff systems
• Asymptotic stability for anisotropic Kirchhoff systems
• On a global solution of some quasilinear hyperbolic equation
• A direct method for the boundary stabilization of the wave equation
• Global existence, decay, and blowup of solutions for some mildly degenerate nonlinear Kirchhoff strings
• Global solvability for the Kirchhoff equations in exterior domains of dimension three
• Global solution of a nonlinear string equation
• Boundary stabilization of nonlinear vibrations of a flexible structure in a bounded domain in \(\mathbb{R}^n\)
• Local asymptotic stability for polyharmonic Kirchhoff systems†
• Asymptotic stability for Kirchhoff systems in variable exponent Sobolev spaces
• Global solvability for the Kirchhoff equations in exterior domains of dimension larger than three
• On classical solutions of a quasilinear hyperbolic equation
• Nonlinear perturbations of the kirchhoff equation
• Global solvability and uniform decays of solutions to quaslinear equation with nonlinear boundary dissipation
• Bounded-input bounded-output stability of a damped nonlinear string
• Non-Linear vibration of an elastic string
• Exponential energy decay estimates for the solutions of \(n\)-dimensional Kirchhoff type wave equation

This page was built for publication: Stability of vibrations for some Kirchhoff equation with dissipation.