Determining Functionals for the Strongly Damped Nonlinear Wave Equation

DOI10.1080/1726037X.2007.10698530zbMath1142.35514OpenAlexW2017587257MaRDI QIDQ5454023

Davut Uğurlu, Okay Çelebi

Publication date: 3 April 2008

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2007.10698530

zbMATH Keywords

determining nodesenergy methodsone space dimensioncompleteness defect

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70)

Related Items (2)

Structural stability analysis of solutions to the initial boundary value problem for a nonlinear strongly damped wave equation ⋮ Determining functionals for damped nonlinear wave equations

Cites Work

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• Asymptotic analysis of the Navier-Stokes equations
• On the number of determining nodes for the 2D Navier-Stokes equations
• A dynamical system generated by the Navier-Stokes equations
• Long time behavior of strongly damped nonlinear wave equations
• Determining nodes for the Kuramoto-Sivashinsky equation
• Determining nodes, finite difference schemes and inertial manifolds
• On the number of determining nodes for the Ginzburg-Landau equation
• Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems
• Regularity, approximation and asymptotic dynamics for a generalized Ginzburg-Landau equation
• On the Finiteness of the Number of Determining Elements for von Karman Evolution Equations

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