Research report 2015 - Max Planck Institute for Mathematics in the Sciences
Musterbildung, Energielandschaften und Skalierungsgesetze (Felix Otto)
SummaryHysteresis often appears in nature as a mechanism for self-organisation. A mathematical description of this phenomenon is given and discussed in some example cases motivated by real life applications. These examples are decomposed into simple (transverse) and difficult (non transverse) cases. The solution for the transverse case is given, the non transverse case is partially solved and open problems and questions are discussed.