ISSN:
0044-2275
Keywords:
Key words. Nonlinear diffusion equation, singular boundary condition, finite time quenching, quenching set, quenching rate.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract. We study a nonlinear diffusion equation $(\psi (u))_t =u_{xx},\0 〈 x 〈 1,\t 〉 0$ with a singular boundary condition $u_x(1,t) = -g(u(1,t))$ . We prove finite time quenching for the solution. We also establish results on quenching set and rate.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000330050167
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