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Nonlinear scattering for some dispersive equations generalizing Benjamin-Bona-Mahony equation

✍ Scribed by Jacek Dziubański; Grzegorz Karch

Book ID
105149135
Publisher
Springer Vienna
Year
1996
Tongue
English
Weight
342 KB
Volume
122
Category
Article
ISSN
0026-9255

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In this paper, we study the asymptotic behaviour of the solutions for the Benjamin-Bona-Mahony equation. We first present the existence of the global weak attractor in H2er for this equation. And then by an energy equation we show that the global weak attractor is actually the global strong attracto

Young-measure solutions to a generalized
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## Abstract We consider the evolution of microstructure under the dynamics of the generalized Benjamin–Bona–Mahony equation equation image with __u__: ℝ^2^ → ℝ. If we model the initial microstructure by a sequence of spatially faster and faster oscillating classical initial data __v^n^__, we obta