The Fast Diffusion Equation with Critical Exponent
Victor A. Galaktionov, Juan Luis Vázquez · Birkhäuser Boston eBooks · 2004
The next two chapters contain case studies of asymptotic behaviour where there are several regions of space-time with different asymptotic descriptions, and the stability result (S-Theorem) applies to one of them. There is at the same time a matching procedure with the behaviour in the neighboring regions. Matched asymptotics is a very important tool of asymptotic analysis that is needed to reflect the multiple behaviour of many problems arising in several applied fields, notably in fluid mechanics. The concepts of inner and outer region, boundary layer and matching are now classical in nonlinear analysis, hence our interest in discussing representative cases of interaction with the S-Theorem. 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.