Exponential attractors for extensible beam equations
Copyright policy )Exponential attractors for extensible beam equations
The authors transfer ideas and results of the classical theory of dynamical systems for ODE to a class of nonlinear dynamical boundary value problems for PDE which includes equations looking like beam and plate equations. They establish the existence of a compact attractor and some of its properties for this class of systems using energy methods and the theory of \(\alpha\)-contractions developed by J. K. Hale.
- University of Wisconsin–Milwaukee United States
- University of Wisconsin–Oshkosh United States
- Arizona State University United States
existence, thin plate, Other PDE from mechanics, compact attractor, nonlinear dynamical boundary value problems, energy methods, existence of inertial manifolds, beam-like equations, Vibrations in dynamical problems in solid mechanics, Dynamical systems and ergodic theory, discrete squeezing property, \(\alpha\)-contractions, smoothness, von Karman equations, Titi's theorem
existence, thin plate, Other PDE from mechanics, compact attractor, nonlinear dynamical boundary value problems, energy methods, existence of inertial manifolds, beam-like equations, Vibrations in dynamical problems in solid mechanics, Dynamical systems and ergodic theory, discrete squeezing property, \(\alpha\)-contractions, smoothness, von Karman equations, Titi's theorem
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