Attractors for Partly Dissipative Reaction Diffusion Systems in Rn

By Aníbal Rodríguez-Bernal, Bixiang Wang. 2000

63 citations recorded by the source corpus.

In this paper, we study the asymptotic behavior of solutions for the partly dissipative reaction diffusion equations in n . We prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in 2Ž n. 2Ž n. L L . 2000 Academic Press

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/96121cb69e4a8dd83ac4dc171a1705b4bc443c4b

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In Computational Theory and Mathematics

In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Random Attractors for the Stochastic Benjamin-Bona-Mahony Equation on Unbounded Domains (2008, background): “For some deterministic equations, the difficulty caused by the unboundedness of domains may be overcome by the energy equation approach or by the tail-estimates approach.”
Longtime behavior of the Kirchhoff type equation with strong damping on RN (2007, methodology): “This method has been also used in second-order evolution equations and systems (see [11,20]).”
Asymptotic behavior and attractors for reaction diffusion equations in unbounded domains (2004, background): “Now we show how to improve the results in [ 43 ] for the so-called partly dissipative reaction di!usion system, which can be written as   ”
Asymptotic smoothing and attractors for the generalized Benjamin-Bona-Mahony equation on R 3 (2005, unknown): “uniformly small for large space and time variables by a cut-off function [41,48] or by a weight function [1].”
Random attractors for stochastic reaction–diffusion equations on unbounded domains (2009, unknown): “, [1,2,4,24,25,27,30,31].”