Publications [#9847] of Mark Bowen

Papers Published

  1. 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.