WebNov 30, 2024 · The paper investigates the existence of global attractors for a few classes of multi-valued operators. We establish some criteria and give their applications to a strongly damped wave equation with fully supercritical nonlinearities and without the uniqueness of solutions. WebJun 20, 2024 · The existence of global attractor below the energy space has not been known, though the global well-posedness below the energy space has been established. ... Ghidaglia, J. M., Weakly damped forced Korteweg–de Vries equations behave as a finite-dimensional dynamical system in the long time, J. Differential Equations 74 (2) (1988), …
Global attractors for impulsive dynamical systems – a precompact
http://homepages.math.uic.edu/~acheskid/papers/Navier-Stokes-attractors.pdf Web1 day ago · The question of the existence of smooth global solutions and a global attractor is studied. Its dimension and structure are determined. All the solutions of the nonlinear initial boundary value ... thermo scan inspections
GLOBAL ATTRACTOR FOR WEAKLY DAMPED, FORCED mKdV …
WebAug 17, 2024 · The global existence, uniqueness, and boundedness of the positive solution of system have been confirmed above, and the existence of the connected global … WebFind many great new & used options and get the best deals for Nonautonomous Dynamics: Nonlinear Oscillations and Global Attractors by David N. at the best online prices at eBay! ... This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary ... WebOct 5, 2015 · The system (4.2) has a global attractor A. Example 4.13. Consider the following nonlinear reaction-diffusion initial boundary value problem (4.3) {u t − Δ u = f (u), t > 0, u ∂ Ω = 0, t > 0, u (0) = u 0 ∈ L 2 (Ω), where f: R → R is a locally Lipschitz function, Ω is a bounded smooth domain of R n with smooth boundary and Δ is the ... thermoscan instant thermometer battery