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In this paper, we consider the quenching behavior for a one-dimensional quasilinear parabolic equation with singular source and boundary flux. We show that the quenching occurs only on the boundary… Click to show full abstract
In this paper, we consider the quenching behavior for a one-dimensional quasilinear parabolic equation with singular source and boundary flux. We show that the quenching occurs only on the boundary in finite time, and derive the lower and upper bounds of quenching rate. Moreover, we give the exact bounds of quenching rate of special examples.
Keywords:
singular source;
parabolic equation;
source boundary;
quasilinear parabolic;
quenching behavior;
equation singular
Journal Title: Journal of Dynamical and Control Systems
Year Published: 2018
Link to full text (if available)
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Journal Title: Journal of Dynamical and Control Systems
Year Published: 2018
Link to full text (if available)
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recommendations!