Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/19019
Título: | A class of electromagnetic p-curl systems: blow-up and finite time extinction |
Autor(es): | Antontsev, Stanislav Miranda, Fernando Santos, Lisa |
Palavras-chave: | Electromagnetic problems p-curl systems Blow-up Extinction in time |
Data: | Jun-2012 |
Editora: | Elsevier |
Revista: | Nonlinear Analysis: Theory, Methods & Applications |
Resumo(s): | 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 $\lambda$. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/19019 |
DOI: | 10.1016/j.na.2012.02.011 |
ISSN: | 0362-546X |
Versão da editora: | http://dx.doi.org/10.1016/j.na.2012.02.011 |
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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AntontsevMirandaSantos2012RepositoriUM.pdf | 263,06 kB | Adobe PDF | Ver/Abrir |