Intermediate asymptotics beyond homogeneity and self-similarity: long time behavior for ut = ∆φ(u)
نویسندگان
چکیده
We investigate the long time asymptotics in L+(R) for solutions of general nonlinear diffusion equations ut = ∆φ(u). We describe, for the first time, the intermediate asymptotics for a very large class of non-homogeneous nonlinearities φ for which long time asymptotics cannot be characterized by self-similar solutions. Scaling the solutions by their own second moment (temperature in the kinetic theory
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تاریخ انتشار 2004