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.

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 $\gamma +{c}_{0}{\alpha }^{2}\ge 0$, 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 $\gamma +{c}_{0}{\alpha }^{2}\ge 0$ involving local-in-space conditions on the initial data.

Publié le : 2016-11-13
DOI : https://doi.org/10.5802/afst.1519
@article{AFST_2016_6_25_5_995_0,
author = {Duc-Trung Hoang},
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},
publisher = {Universit\'e Paul Sabatier, Toulouse},
volume = {Ser. 6, 25},
number = {5},
year = {2016},
pages = {995-1012},
doi = {10.5802/afst.1519},
language = {en},
url = {afst.centre-mersenne.org/item/AFST_2016_6_25_5_995_0/}
}
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/item/AFST_2016_6_25_5_995_0/

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