Existence and stability of solutions of type solitary waves in equation Korteweg-de Vries (KdV) / Existência e estabilidade de Soluções do tipo ondas solitárias para a equação Korteweg-de Vries (KdV)

AUTOR(ES)

Isnaldo Isaac Barbosa

DATA DE PUBLICAÇÃO

2009

RESUMO

In this paper we demonstrate a theorem of Well-Posedness Local and followed by Well-Posedness Global Equation Korteweg-de Vries in Sobolev spaces by making use of conservation laws of this equation, the properties of the group associated with it, and some estimates obtained by Kenig , Ponce and Vega in [6]. We also demonstrated the existence and stability of solitary wave type solutions for Equation Korteweg-de Vries, to obtain the result of stability we use the lemma Concentrated compactness of P. Lions, in part the result of good global placement is used in a critical, and the conservation laws for this equation, because using this technique to solve a variational minimization problem. Latter part of this thesis is based on the work of John Albert [20].

ASSUNTO(S)

equações diferenciais waves (mathematics) matematica ondas (matemática) diferential equations

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