Stabilization of wave dynamics by moving boundary

DOI10.1016/j.nonrwa.2017.06.008OpenAlexW2755804719MaRDI QIDQ1681012

Daniel Toundykov, Jean-Paul Zolésio

Publication date: 17 November 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.06.008

zbMATH Keywords

controlfinite elementsstabilizationmoving boundarywave

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items

On the 1d wave equation in time-dependent domains and the problem of debond initiation

Cites Work

• Regularity of hyperbolic equations under \(L^ 2(0,T;L_ 2(\Gamma))\)- Dirichlet boundary terms
• Optimal decay rates for solutions of a nonlinear wave equation with localized nonlinear dissipation of unrestricted growth and critical exponent source terms under mixed boundary conditions
• Global attractor for a wave equation with nonlinear localized boundary damping and a source term of critical exponent
• Non homogeneous boundary value problems for second order hyperbolic operators
• Proof of extensions of two conjectures on structural damping for elastic systems
• The damped wave equation in a moving domain
• Exterior initial-boundary value problems for quasilinear hyperbolic equations in time-dependent domains
• A nonlinear wave equation in a dependent domain
• Shapes and Geometries
• A mathematical model for linear elastic systems with structural damping
• Control and Stabilization for the Wave Equation, Part III: Domain with Moving Boundary
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item