Remarks on Quenching, Blow Up and Dead Cores
Bernhard Kawohl · Birkhäuser Boston eBooks · 1992
The experience in the investigation of nonlinear diffusion equations suggests a) that many qualitative effects which are known for linear equations can also be expected for solutions of nonlinear equations, and b) that there can be specific nonlinear phenomena. In my lecture I will attempt to survey some aspects of b). There is the traditional trinity of subjects, in this case quenching, blow up and dead cores. In all of those three types of equation the diffusion term becomes negligable in a certain sense, and the behaviour of the solution is essentially controlled by an ordinary differential equation. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.