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  • Key words. Nonlinear diffusion equation, singular boundary condition, finite time quenching, quenching set, quenching rate.  (1)
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    Electronic Resource
    Electronic Resource
    Quenching for a nonlinear diffusion equation with a singular boundary condition (1999)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 50 (1999), S. 574-584 
    Details
    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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