Decay for travelling waves in the Gross–Pitaevskii equation
Philippe Gravejat (2004)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “Asymptotic expansion for a dissipative Benjamin--Bona--Mahony equation with periodic coefficients.”
Decay for travelling waves in the Gross–Pitaevskii equation
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We consider the Cahn-Hilliard equation in with two types of critically growing nonlinearities: nonlinearities satisfying a certain limit condition as and logistic type nonlinearities. In both situations we prove the -bound on the solutions and show that the individual solutions are suitably attracted by the set of equilibria. This complements the results in the literature; see J. W. Cholewa, A. Rodriguez-Bernal (2012).