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Stability of planar waves in the buffered bistable system
Author(s) -
Lv Guangying
Publication year - 2012
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.2522
Subject(s) - bistability , planar , mathematics , perturbation (astronomy) , infinity , mathematical analysis , convergence (economics) , stability (learning theory) , exponential stability , nonlinear system , physics , quantum mechanics , economics , computer graphics (images) , machine learning , computer science , economic growth
This paper is concerned with the asymptotic stability of planar waves in the buffered bistable system onR n , where n ≥ 2. Under initial perturbation that decays at space infinity, the perturbed solution converges to planar waves as t → ∞ . The convergence is uniform inR n . Copyright © 2012 John Wiley & Sons, Ltd.