Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/19019
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Campo DC | Valor | Idioma |
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dc.contributor.author | Antontsev, Stanislav | - |
dc.contributor.author | Miranda, Fernando | - |
dc.contributor.author | Santos, Lisa | - |
dc.date.accessioned | 2012-05-02T08:48:34Z | - |
dc.date.available | 2012-05-02T08:48:34Z | - |
dc.date.issued | 2012-06 | - |
dc.date.submitted | 2011-08-29 | - |
dc.identifier.issn | 0362-546X | por |
dc.identifier.uri | https://hdl.handle.net/1822/19019 | - |
dc.description.abstract | We study a class of $p$-curl systems arising in electromagnetism, for $\frac65 < p < \infty$, with nonlinear source or sink terms. Denoting by $\boldsymbol h$ the magnetic field, the source terms considered are of the form $\boldsymbol h\left(\int_\Omega|\boldsymbol h|^2\right)^{\frac{\sigma-2}{2}}$, with $\sigma\geq1$. Existence of local or global solutions is proved depending on values of $\sigma$ and $p$. The blow-up of local solutions is also studied. The sink term is of the form $\boldsymbol h\left(\int_\Omega|\boldsymbol h|^k\right)^{-\lambda}$, with $k,\lambda>0$. Existence and finite time extinction of solutions are proved, for certain values of $k$ and $\lambda$. | por |
dc.description.sponsorship | The first author was supported partially by the research project PTDC/MAT/110613/2009, FCT, Portugal. The research of the second and third authors was partially supported by CMAT-"Centro de Matemetica da Universidade do Minho", financed by FEDER Funds through "Programa Operacional Factores de Competitividade-COMPETE'' and by Portuguese Funds through FCT- "Funda ao para a Ciencia e a Tecnologia", within the Project Est-C/MAT/UI0013/2011. | por |
dc.language.iso | eng | por |
dc.publisher | Elsevier 1 | por |
dc.rights | openAccess | por |
dc.subject | Electromagnetic problems | por |
dc.subject | p-curl systems | por |
dc.subject | Blow-up | por |
dc.subject | Extinction in time | por |
dc.title | A class of electromagnetic p-curl systems: blow-up and finite time extinction | por |
dc.type | article | por |
dc.peerreviewed | yes | por |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.na.2012.02.011 | por |
sdum.publicationstatus | published | por |
oaire.citationStartPage | 3916 | por |
oaire.citationEndPage | 3929 | por |
oaire.citationIssue | 9 | por |
oaire.citationVolume | 75 | por |
dc.identifier.doi | 10.1016/j.na.2012.02.011 | por |
dc.subject.wos | Science & Technology | por |
sdum.journal | Nonlinear Analysis: Theory, Methods & Applications | 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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AntontsevMirandaSantos2012RepositoriUM.pdf | 263,06 kB | Adobe PDF | Ver/Abrir |