Non-axial self-similar hole filling for the porous medium equation
نویسندگان
چکیده
منابع مشابه
Non-axial Self-similar Hole Filling for the Porous Medium Equation
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 [6] undergoes a sequence of symmetry breaking bifurcations as the parameter m decreases from m =1 to m = 1.
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 2001
ISSN: 0894-0347,1088-6834
DOI: 10.1090/s0894-0347-01-00372-1