Catherine A. Roberts (College of the Holy Cross)-Thermal Blow-up in Superdiffusive Media
Mathematics - Colloquium
| Date & Time: |
Friday, January 29, 2010 11:00 AM-12:00 PM |
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| Suggested Audiences: | Adult, College | |
| Location: Find Local Food & Accommodations |
WPI: Stratton Hall 203 100 Institute Road Worcester, MA 01609-2280 |
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| Description: | ABSTRACT: The problem of thermal blow-up in a superdiffusive media will be examined within the framework of a fractional diffusion equation. The possibility of a blow-up is created by placing a localized, high-energy source in a diffusive medium. This source term is intended to model a small hot spot with a thermal output that grows non-linearly with increasing temperature. It will be shown that the occurrence of a thermal blow-up depends upon the spatial dimension of the superdiffusive medium, which provides insight into the effectiveness of superdiffusion. Some discussion to place these results within our understanding of classical diffusion will be presented. | |
| More Information: |
E-mail:
ma-chair@wpi.edu
Entered by: WPI: Mathematical Sciences Department |
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Created: October 7, 2009 at 4:14 PM
Last Modified: January 7, 2010 at 11:57 AM
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