IMECC-UNICAMP-C.P. 6065
CEP 13083-970-Campinas
Sao Paulo, Brazil
email: angulo@ime.unicamp.br
Jaime Angulo Pava
Abstract:
In this paper, we consider the existence and stability of
a novel set of solitary-wave solutions for two models of short
and long dispersive waves in a two layer fluid.
We prove the existence of solitary waves via the
Concentration Compactness Method. We then introduce the sets of
solitary waves obtained through our analysis for each model and
we show that them are stable provided the associated action is
strictly convex. We also establish the existence of intervals of
convexity for each associated action. Our analysis does not depend
of spectral conditions.
Submitted May 30, 2005. Published July 10, 2006.
Math Subject Classifications: 35Q35, 35Q53, 35Q55, 35B35, 58E30, 76B15.
Key Words: Dispersive wave equations; variational methods;
stability; solitary wave solutions.
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Jaime Angulo Pava IMECC-UNICAMP-C.P. 6065 CEP 13083-970-Campinas Sao Paulo, Brazil email: angulo@ime.unicamp.br |
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