Explosive solutions of a stochastic non-local reaction–diffusion equation arising in shear band formation
| dc.contributor.author | Kavallaris, Nikos I. | * |
| dc.date.accessioned | 2015-06-03T13:46:41Z | |
| dc.date.available | 2015-06-03T13:46:41Z | |
| dc.date.issued | 2015-07-07 | |
| dc.identifier.citation | Kavallaris, N. I. (2015). "Explosive solutions of a stochastic non-local reaction–diffusion equation arising in shear band formation." Mathematical Methods in the Applied Sciences 38(16): 3564-3574. DOI: 10.1002/mma.3514 | en |
| dc.identifier.issn | 0170-4214 | en |
| dc.identifier.uri | http://hdl.handle.net/10034/556204 | |
| dc.description | This is the peer reviewed version of the following article: Kavallaris, N. I. (2015). Explosive solutions of a stochastic non-local reaction–diffusion equation arising in shear band formation. Mathematical Methods in the Applied Sciences 38(16): 3564-3574, which has been published in final form at DOI: 10.1002/mma.3514. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving. | en |
| dc.description.abstract | In this paper, we consider a non-local stochastic parabolic equation which actually serves as a mathematical model describing the adiabatic shear-banding formation phenomena in strained metals. We first present the derivation of the mathematical model. Then we investigate under which circumstances a finite-time explosion for this non-local SPDE, corresponding to shear-banding formation, occurs. For that purpose some results related to the maximum principle for this non-local SPDE are derived and afterwards the Kaplan's eigenfunction method is employed. | |
| dc.language.iso | en | en |
| dc.publisher | Wiley | en |
| dc.relation.ispartofseries | Non-local, Stochastic Partial Differential Equations, Maximum principle, Blow-up, Shear band formation | en |
| dc.relation.url | http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476 | en |
| dc.rights | An error occurred on the license name. | * |
| dc.rights.uri | An error occurred getting the license - uri. | * |
| dc.title | Explosive solutions of a stochastic non-local reaction–diffusion equation arising in shear band formation | en |
| dc.type | Article | en |
| dc.identifier.eissn | 1099-1476 | |
| dc.contributor.department | University of Chester | en |
| dc.identifier.journal | Mathematical Methods in the Applied Sciences | |
| html.description.abstract | In this paper, we consider a non-local stochastic parabolic equation which actually serves as a mathematical model describing the adiabatic shear-banding formation phenomena in strained metals. We first present the derivation of the mathematical model. Then we investigate under which circumstances a finite-time explosion for this non-local SPDE, corresponding to shear-banding formation, occurs. For that purpose some results related to the maximum principle for this non-local SPDE are derived and afterwards the Kaplan's eigenfunction method is employed. | |
| rioxxterms.publicationdate | 2015-07-07 |
