Please use this identifier to cite or link to this item: https://hdl.handle.net/1822/19019

 Title: A class of electromagnetic p-curl systems: blow-up and finite time extinction Author(s): Antontsev, StanislavMiranda, FernandoSantos, Lisa Keywords: Electromagnetic problemsp-curl systemsBlow-upExtinction in time Issue date: Jun-2012 Publisher: Elsevier Journal: Nonlinear Analysis: Theory, Methods & Applications Abstract(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 $\lambda$. Type: Article URI: https://hdl.handle.net/1822/19019 DOI: 10.1016/j.na.2012.02.011 ISSN: 0362-546X Publisher version: http://dx.doi.org/10.1016/j.na.2012.02.011 Peer-Reviewed: yes Access: Open access Appears in Collections: CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat