Seminar Event Detail


Applied Interdisciplinary Mathematics (AIM)

Date:  Friday, December 06, 2019
Location:  1084 East Hall (3:00 PM to 4:00 PM)

Title:  Strictly supersonic solitary waves in lattices

Abstract:   We consider a nonlinear mass-spring chain with first and second-neighbor interactions and show that there is a parameter range where solitary waves in this system are strictly supersonic. In these regimes standard quasicontinuum theories, targeting long-wave limits of lattice models, are not adequate since even weak strictly supersonic solitary waves are of envelope type and crucially involve a microscopic scale in addition to the mesoscopic scale of the envelope. To capture this effect in a continuum setting it is necessary to employ unconventional, higher-order quasicontinuum approximations carrying more than one length scale. This talk is based on recent joint work with Lev Truskinovsky (ESPCI).

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Speaker:  Anna Vainchtein
Institution:  University of Pittsburgh

Event Organizer:   Krishna Garikipati    krishna@umich.edu

 

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