Elias Pipping | Searcharxiv

arXiv2017

Existence of long-time solutions to dynamic problems of viscoelasticity with rate-and-state friction

We establish existence of long-time solutions to a dynamic problem of bilateral contact between a rigid surface and a viscoelastic body, subject to rate-and-state friction. The term rate-and-state friction is used here to refer to a set of functions and equations satisfying conditions which rule out the slip law but do cover the ageing law, and thus at least one of the rate-and-state friction laws commonly used in the geosciences.

math.AP↗

arXiv2012

L- and M-structure in lush spaces

Let $X$ be a Banach space which is lush. It is shown that if a subspace of $X$ is either an L-summand or an M-ideal then it is also lush.

math.FA↗