Math @ Duke
Publications [#9847] of Mark Bowen
- J. Hulshof, J. R. King and M. Bowen, Intermediate asymptotics of the porous medium equation with sign changes,
Adv. Diff. Eq. (2001), 6:1115-1152
(last updated on 2001/09/07)
Also available as Leiden preprint W98-20 (1998).
We study the porous medium equation with sign changes and
examine the way sign changes disappear. We give a formal
classification of selfsimilar and non-selfsimilar scenarios
for their disappearance, for N>1 restricting attention to
the radial case. The results we present on the
classification of similarity solutions are rigorous except
where indicated otherwise.
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