Existence of self-similar blow-up solutions for Zakhrov equation in dimension two. Part I期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Existence of self-similar blow-up solutions for Zakhrov equation in dimension two. Part I

Authors:

Institution:

1. Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Tour 55-65, 5ème étage, 4, place Jussieu, F-75252, Paris Cedex 05, France
2. Centre de Mathématiques, Universié de cergy-Pontoise, Avenue du Parc, 8, Le Campus, F-95033 Cergy, Pontoise Cedex, France

Abstract:

We consider the Zakharov equation in space dimension two

$\left\{ {\begin{array}{*{20}c} {iu_t = - \Delta u + nu,} \\ {\frac{1}{{c_0^2 }}n_{tt} = \Delta n + \Delta \left\| u \right\|^2 } \\ \end{array} } \right.$

Keywords:
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