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Status |
Confirmed |
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Seminar Series |
SAMM |
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Subjects |
cond-mat.stat-mech,math-ph,math.FA,math.MP |
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Date |
Friday 9 June 2017 |
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Time |
11:30 |
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Institute |
SAMM |
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Seminar Room |
C20.13, Centre Pierre Mendès-France, Univ. Paris-1, 90 rue de Tolbiac, Paris |
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Speaker's Last Name |
Roudenko |
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Speaker's First Name |
Svetlana |
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Speaker's Email Address |
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Speaker's Institution |
Department of Mathematics, The George Washington University |
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Title |
Instability of solitary waves in the KdV-type equations |
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Abstract |
We revisit the instability of solitons in the critical and supercritcal cases of the KdV equation, in particular the fundamental result of Martel-Merle about instability of solitary waves for the critical KdV equation. Then we investigate a similar phenomenon in the higher dimensional generalizations of the KdV equation, called the Zakharov-Kuznetsov equation. This is joint work with Luiz Farah and Justin Holmer. |
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