We study the existence of global solutions of a singular ordinary differential equation arising in the construction of self similar solution for a backward-forward parabolic equation. Also we present several numerical simulations and obtain an upper bound for the blowup time.
Submitted November 2, 2015. Published December 16, 2015.
Math Subject Classifications: 76M55, 35B40, 35B44.
Key Words: Self-similar solutions; blow up; asymptotic behavior; forward-backward equations.
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| Renato Colucci |
Department of Mathematical Sciences
Xi'an Jiaotong-Liverpool University
111 Ren'ai Road, SIP, Suzhou 215123, China
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