On a free boundary barotropic model
P.-L. Lions, N. Masmoudi (1999)
Annales de l'I.H.P. Analyse non linéaire
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P.-L. Lions, N. Masmoudi (1999)
Annales de l'I.H.P. Analyse non linéaire
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Fabrice Planchon (1998)
Revista Matemática Iberoamericana
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We construct global solutions to the Navier-Stokes equations with initial data small in a Besov space. Under additional assumptions, we show that they behave asymptotically like self-similar solutions.
Chloé Mullaert (2010)
Annales de la faculté des sciences de Toulouse Mathématiques
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This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.
Fabien Flori, Pierre Orenga (2000)
Annales de l'I.H.P. Analyse non linéaire
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Giancarlo Benettin, Luigi Chierchia, Francesco Fassò (1989)
Annales de l'I.H.P. Physique théorique
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L. C. Piccinini, S. Spagnolo (1972)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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