An Asymptotic and Numerical Description ofSelf - Similar Blow - up in
نویسندگان
چکیده
We study the blow-up behaviour of two reaction-diiusion problems with a quasilinear degenerate diiusion and a superlinear reaction. We show that in each case the blow-up is self-similar, in contrast to the linear diiusion limit of each in which the diiusion is only approximately self-similar. We then investigate the limit of the self-similar behaviour and describe the transition from a stable manifold blow-up behaviour (for quasilinear diiusion) to a centre manifold one for the linear diiusion.
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