Local unstable manifolds of periodic orbits in thin domains

DOI10.1016/j.na.2007.07.023zbMath1159.35389OpenAlexW2080561109MaRDI QIDQ938744

Bouthaina Abdelhedi

Publication date: 27 August 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.07.023

zbMATH Keywords

thin domainsperiodic solutionsperturbationunstable manifoldssystem of damped wave equations

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Wave equation (35L05) Perturbations in context of PDEs (35B20)

Related Items (1)

Global existence of solutions for the second grade fluid equations in a thin three-dimensional domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence of periodic solutions of a system of damped wave equation in thin domains
• Semigroups of linear operators and applications to partial differential equations
• Geometric theory of semilinear parabolic equations
• Convergence in gradient-like systems with applications to PDE
• Existence of periodic solutions of an autonomous damped wave equation in thin domains
• Introduction to functional differential equations
• On periodic solutions of a damped wave equation in a thin domain using degree theoretic methods
• Reaction-diffusion equation on thin domains
• Bifurcation and multiplicity results for periodic solutions of a damped wave equation in a thin domain
• A Damped Hyperbolic Equation on Thin Domains

This page was built for publication: Local unstable manifolds of periodic orbits in thin domains