Abstract
The diffusion equation with a concentrated singular reaction $v_t=v_{xx} + \epsilon\delta(x-a)f(v)$ $(\epsilon>0, 0<a<1)$ is studied. Criteria for global existence and finite time quenching of the solution are established. The growth rate and estimate on quenching time are also given for a certain class of nonlinearities.
Citation
Keng Deng. Catherine A. Roberts. "Quenching for a diffusive equation with a concentrated singularity." Differential Integral Equations 10 (2) 369 - 379, 1997. https://doi.org/10.57262/die/1367526343
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