Local existence and blow-up criterion of Hölder continuous solutions of the Boussinesq equations

Nagoya Mathematical Journal

Volumn 155, Issue , 1999, Pages 55-80

  Chae, Dongho ^a   Kim, Sung Ki ^a   Nam, Hee Seok ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040964914     PISSN: 00277630     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0027763000006991     Document Type: Article

References (7)

1. H. Bahouri et B. Dehman, Remarques sur l'apparition de singularités dans les écoulements Eulériens incompressibles à donnée initiale Höldénenne, J. Math. Pures Appl., 73 (1994), 335-346.
2. J.T. Beale, T. Kato and A. Majda, Remarks on the breakdown of smooth solutions for the 3-D Euler equations, Commun. Math. Phys., 94, 61-66.
3. M.S. Bergers, Nonlinearity and functional analysis, Academic Press, INC, 1977.
4. Dongho Chae and Hee-Seok Nam, Local existence and blow-up criterion for the Boussinesq equations, Proc. Royal Soc. Edinburgh, A, 127 (1997), no.5, 935-946.
5. J.-Y. Chemin, Régularité de la trajectoire, des particules d'un fluide parfait incompressible remplissant l'espace, J. Math. Pures Appl., 71 (1992), 407-417.
6. 2, Nonlinear functional analysis and its applications, 45 (Part 2), 1-7.
7. A. Majda, Vorticity and the mathematical theory of incompressible fluid flow, Princeton University graduate course lecture note (1986-1987).