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https://hdl.handle.net/1822/11581
Título: | Asymptotic behavior for a class of solutions to the critical modified Zakharov-Kuznetsov equation |
Autor(es): | Panthee, Mahendra Scialom, Marcia |
Palavras-chave: | Dispersive equation KdV equation Blow-up solution |
Data: | 2010 |
Editora: | Wiley |
Revista: | Studies in Applied Mathematics |
Citação: | "Studies in Applied Mathematics". ISSN 1467-9590. 124:3 (2010) 229-245. |
Resumo(s): | We consider the initial value problem (IVP) associated to the modified Zakharov-Kuznetsov (mZK) equation \begin{equation}\nonumber u_t+6u^2u_x+u_{xxx}+u_{xyy}=0, \quad (x,y)\in \mathbb{R}^2, \; t \in \mathbb{R}, \end{equation} which is known to have global solution for given data in $u(x,y,0) = u_0(x,y)\in H^1(\mathbb{R}^2)$ satisfying $\|u_0\|_{L^2} <\sqrt{3} \|\phi\|_{L^2}$, where $\phi$ is a solitary wave solution. In this work, the issue of the asymptotic behavior of the solutions of the modified Zakharov-Kuznetsov equation with negative energy is addressed. The principal tool to obtain the main result is the use of appropriate scaling argument from Angulo et al [4, 5]. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/11581 |
DOI: | 10.1111/j.1467-9590.2009.00469.x |
ISSN: | 1467-9590 |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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mzk-final.pdf | 267,15 kB | Adobe PDF | Ver/Abrir |