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no. 5
The local criteria for blowup of the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system
Duc-Trung Hoang1
1 Département de Mathématiques, Ecole Normale Supérieure de Lyon, France
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 5, pp. 995-1012.

Nous étudions les critères d’explosion pour l’équation de Dullin-Gottwald-Holm et pour le système de Dullin-Gottwald-Holm à deux composantes. Nous établissons un nouveau critère d’explosion pour le cas général γ+c 0 α 2 ≥0, impliquant des conditions locales en espace sur les données initiales.

We investigate wave breaking criteria for the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system. We establish a new blow-up criterion for the general case γ+c 0 α 2 ≥0 involving local-in-space conditions on the initial data.

Publié le :
DOI : 10.5802/afst.1519
Duc-Trung Hoang 1

1 Département de Mathématiques, Ecole Normale Supérieure de Lyon, France 
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     title = {The local criteria for blowup of the {Dullin-Gottwald-Holm} equation and the two-component {Dullin-Gottwald-Holm} system},
     journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
     pages = {995--1012},
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Duc-Trung Hoang. The local criteria for blowup of the Dullin-Gottwald-Holm equation and the two-component Dullin-Gottwald-Holm system. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 25 (2016) no. 5, pp. 995-1012. doi : 10.5802/afst.1519. https://afst.centre-mersenne.org/articles/10.5802/afst.1519/

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