Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/41293
Título: | Blow-up and finite time extinction for p(x, t)-curl systems arising in electromagnetism |
Autor(es): | Antontsev, Stanislav Miranda, Fernando Santos, Lisa |
Palavras-chave: | Electromagnetic problems p(x,t)-curl systems Variable exponents Blow-up Extinction in time |
Data: | 2016 |
Editora: | Elsevier 1 |
Revista: | Journal of Mathematical Analysis and Applications |
Resumo(s): | We study a class of $p(x,t)$-curl systems arising in electromagnetism, with a nonlinear source term. Denoting by $\boldsymbol{h}$ the magnetic field, the source term considered is of the form $\lambda\boldsymbol{h}\left( \int_{\Omega}|\boldsymbol{h}|^{2}\right)^{\frac{\sigma-2}{2}}$ where $\lambda\in\{-1,0,1\}$: when $\lambda\in\{-1,0\}$ we consider $0<\sigma\leq2$ and for $\lambda=1$ we have $\sigma\geq1$. We introduce a suitable functional framework and a convenient basis that allow us to apply the Galerkin's method and prove existence of local or global solutions, depending on the values of $\lambda$ and $\sigma$. We study the finite time extinction or the stabilization towards zero of the solutions when $\lambda\in\{-1,0\}$ and the blow-up of local solutions when $\lambda=1$. |
Tipo: | Artigo |
Descrição: | "Available online 22 March 2016" |
URI: | https://hdl.handle.net/1822/41293 |
DOI: | 10.1016/j.jmaa.2016.03.045 |
ISSN: | 0022-247X |
Versão da editora: | http://dx.doi.org/10.1016/j.jmaa.2016.03.045 |
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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AntontsevMirandaSantos2016RepositoriUM.pdf | 494,28 kB | Adobe PDF | Ver/Abrir |