Boundary-value problems for a class of first order partial differential equations in Sobolev spaces and applications to the Euler flow
H. Beirão da Veiga (1988)
Rendiconti del Seminario Matematico della Università di Padova
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H. Beirão da Veiga (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Yong Zhou (2004)
Annales de l’institut Fourier
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In this paper we establish the existence and uniqueness of the local solutions to the incompressible Euler equations in , , with any given initial data belonging to the critical Besov spaces . Moreover, a blowup criterion is given in terms of the vorticity field.
H. Beirão Da Veiga (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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C. M. I. Olivier Guès, Guy Métivier, Mark Williams, Kevin Zumbrun (2006)
Annales scientifiques de l'École Normale Supérieure
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H. Beirão Da Veiga (1995)
Rendiconti del Seminario Matematico della Università di Padova
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Ugo Gianazza, Giuseppe Savaré (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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