Geodesic
Non-axial self-similar hole filling for the porous medium equation
Angenent, S.1 ; Aronson, D.2
1 Department of Mathematics, University of Wisconsin–Madison, Madison, Wisconsin 53706
2 School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
Journal of the American Mathematical Society, Tome 14 (2001) no. 4, pp. 737-782

Voir la notice de l'article provenant de la source American Mathematical Society

We construct non-axially symmetric self-similar solutions to the porous medium equation by showing that the family of radial self-similar solutions found by Aronson and Graveleau (1993) undergoes a sequence of symmetry breaking bifurcations as the parameter $m$ decreases from $m=\infty$ to $m=1$.
DOI : 10.1090/S0894-0347-01-00372-1

Angenent, S. 1 ; Aronson, D. 2

1 Department of Mathematics, University of Wisconsin–Madison, Madison, Wisconsin 53706
2 School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455 
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Angenent, S.; Aronson, D. Non-axial self-similar hole filling for the porous medium equation. Journal of the American Mathematical Society, Tome 14 (2001) no. 4, pp. 737-782. doi: 10.1090/S0894-0347-01-00372-1

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