Calculus of Variations and Geometric Measure Theory

Viscoelasticity and monodromy

John M. Ball

created by canevari on 10 Dec 2021

14 dec 2021 -- 16:30   [open in google calendar]

University of Verona

Abstract.

For certain models of one-dimensional viscoelasticity, there are infinitely many equilibria representing phase mixtures. In order to prove convergence as time tends to infinity of solutions to a single equilibrium, it seems necessary to impose a nondegeneracy condition on the constitutive equation for the stress. The talk will explain this, and show how in some cases the nondegeneracy condition can be proved using the monodromy group of a holomorphic function. This is joint work with Inna Capdeboscq and Yasemin Şengül.