Geodesic
Stable self-similar blow-up dynamics for slightly L 2 -supercritical generalized KDV equations
Lan, Yang1
1Laboratoire de Mathématiques d’Orsay Univ. Paris-Sud, CNRS, Université Paris-Saclay 91405 Orsay France
Séminaire Laurent Schwartz — EDP et applications (2015-2016), Talk no. 19, 9 p.

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In this paper we consider the slightly L 2 -supercritical gKdV equations ∂ t u+(u xx +u|u| p-1 ) x =0, with the nonlinearity 5<p<5+ε and 0<ε≪1 . We will prove the existence and stability of a blow-up dynamics with self-similar blow-up rate in the energy space H 1 and give a specific description of the formation of the singularity near the blow-up time.

Published online:
DOI: 10.5802/slsedp.93

Lan, Yang  1

1 Laboratoire de Mathématiques d’Orsay Univ. Paris-Sud, CNRS, Université Paris-Saclay 91405 Orsay France 
Lan, Yang. Stable self-similar blow-up dynamics for slightly $L^2$-supercritical generalized KDV equations. Séminaire Laurent Schwartz — EDP et applications (2015-2016), Talk no. 19, 9 p.. doi: 10.5802/slsedp.93
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     title = {Stable self-similar blow-up dynamics for slightly $L^2$-supercritical generalized {KDV} equations},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:19},
     pages = {1--9},
     year = {2015-2016},
     publisher = {Institut des hautes des scientifiques & Centre de mathtiques Laurent Schwartz, ole polytechnique},
     doi = {10.5802/slsedp.93},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/slsedp.93/}
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