Bøger af Alexander Mielke

Selected applications are accompanied by numerical simulations illustrating both the models and the efficiency of computational algorithms. In this book, the mathematical framework for a rigorous mathematical treatment of "rate-independent systems" is presented in a comprehensive form for the first time.

Collects the notes of the CIME course Nonlinear PDE's and applications held in Cetraro (Italy) on June 23-28, 2008. This book explores the fundamental connections between topics such as optimal transport, Hamilton-Jacobi equations, Riemannian geometry, and more.