On nonlinear stability of polytropic galaxies
G. Wolansky (1999)
Annales de l'I.H.P. Analyse non linéaire
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G. Wolansky (1999)
Annales de l'I.H.P. Analyse non linéaire
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Óscar Sánchez, Juan Soler (2006)
Annales de l'I.H.P. Analyse non linéaire
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Stubbe, Joachim (1989)
Portugaliae mathematica
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Straughan, Brian (1982)
Portugaliae mathematica
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A. D. Bruno (1989)
Banach Center Publications
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Giuseppe Mulone, Salvatore Rionero, Brian Straughan (1996)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We derive a very sharp nonlinear stability result for the problem of thermal convection in a layer of dielectric fluid subject to an alternating current (AC). It is particularly important to note that the size of the initial energy in which we establish global nonlinear stability is not restricted whatsoever, and the Rayleigh-Roberts number boundary coincides with that found by a formal linear instability analysis.
Jürg Fröhlich, Enno Lenzmann (2003-2004)
Séminaire Équations aux dérivées partielles
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We discuss the Hartree equation arising in the mean-field limit of large systems of bosons and explain its importance within the class of nonlinear Schrödinger equations. Of special interest to us is the Hartree equation with focusing nonlinearity (attractive two-body interactions). Rigorous results for the Hartree equation are presented concerning: 1) its derivation from the quantum theory of large systems of bosons, 2) existence and stability of Hartree solitons, and 3) its point-particle...