MINI-COURSES in MATHEMATICAL ANALYSIS
Padova, June 13-17 2011

A variational approach to rate-independent problems

Abstract

Lecture notes, overviews (with updated references)

• Alexander Mielke
  Differential, energetic, and metric formulations for rate-independent processes
  C.I.M.E. series of Springer Lecture Notes in Mathematics.
  
  
• Alexander Mielke
  Modeling and analysis of rate-independent processes
  Lipschitz Lectures, Universität Bonn, January 2007.
  
  
• Alexander Mielke
  Evolution of rate-independent systems
  In C. Dafermos and E. Feireisl, editors, Handbook of Differential Equations, Evolutionary Equations, volume 2, pages 461-559. Elsevier B.V., 2005.
  
  

A few recent papers

• Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
  Nonsmooth analysis of doubly nonlinear evolution equations
  (2011)
  
  
• Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
  BV solutions and viscosity approximations of rate-independent systems
  ESAIM: Control, Optimisation and Calculus of Variations (2011)
  
  
• Alexander Mielke, Riccarda Rossi, Giuseppe Savaré
  Modeling solutions with jumps for rate-independent systems on metric spaces
  Discrete Contin. Dyn. Syst. 25 (2009) 585--615
  
  
• Riccarda Rossi, Alexander Mielke, Giuseppe Savaré
  A metric approach to a class of doubly nonlinear evolution equations and applications
  Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 7 (2008) 97--169