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https://hdl.handle.net/1822/11581
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Campo DC | Valor | Idioma |
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dc.contributor.author | Panthee, Mahendra | - |
dc.contributor.author | Scialom, Marcia | - |
dc.date.accessioned | 2011-01-10T16:57:43Z | - |
dc.date.available | 2011-01-10T16:57:43Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | "Studies in Applied Mathematics". ISSN 1467-9590. 124:3 (2010) 229-245. | por |
dc.identifier.issn | 1467-9590 | por |
dc.identifier.uri | https://hdl.handle.net/1822/11581 | - |
dc.description.abstract | 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]. | por |
dc.description.sponsorship | FCT | por |
dc.language.iso | eng | por |
dc.publisher | Wiley | por |
dc.rights | openAccess | por |
dc.subject | Dispersive equation | por |
dc.subject | KdV equation | por |
dc.subject | Blow-up solution | por |
dc.title | Asymptotic behavior for a class of solutions to the critical modified Zakharov-Kuznetsov equation | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
sdum.number | 3 | por |
sdum.pagination | 229-245 | por |
sdum.publicationstatus | published | por |
sdum.volume | 124 | por |
oaire.citationStartPage | 229 | por |
oaire.citationEndPage | 245 | por |
oaire.citationIssue | 3 | por |
oaire.citationVolume | 124 | por |
dc.identifier.doi | 10.1111/j.1467-9590.2009.00469.x | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Studies in Applied Mathematics | por |
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 |