Spontaneous change of type is a widely observed phenomenon in physics. In this volume, leading experts survey from a mathematical point of view topics such as phase transitions in crystals, cluster dynamics, viscoelastic flows, motion of interfaces in thermodynamics, shocks in transonic flows, and nonlinear diffusion with finite speed of propagation. Owing to new mathematical techniques, there is now a renewed interest in these difficult questions. The present volume supplies new results but may also serve as an excellent introduction to recent literature. It will be of interest to researchers and to graduate students in physics and mathematics.
The contributions deal with changing-type phenomena from both physical and mathematical points of view. Among the topics discussed are spontaneous phase transitions in crystals, clusterdynamics, and shock phenomena in transonic flows. The book provides a good survey of recent developments in this active field of research.
Klaus Kirchgässner
Cauchy problem Functionals conservation law differential equation diffusion dynamical system dynamical systems dynamics eigenvalue elasticity phase phase transition scattering solution thermodynamics