Interface behaviour of the slow diffusion equation with strong absorption: Intermediate-asymptotic properties
نویسندگان
چکیده
Abstract The dynamics of interfaces in slow diffusion equations with strong absorption are studied. Asymptotic methods used to give descriptions the behaviour local a comprehensive range possible singular events that can occur any evolution. These are: when an interface changes its direction propagation (reversing and anti-reversing), detaches from absorbing obstacle (detaching), two formed by film rupture (touchdown) solution undergoes extinction. Our account extinction self-similar reversing anti-reversing is built upon previous work; results on non-self-similar various types detachment touchdown developed scratch. In all cases, verification asymptotic against numerical solutions full PDE provided. Self-similar solutions, both equation limits, play central role analysis.
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ژورنال
عنوان ژورنال: European Journal of Applied Mathematics
سال: 2023
ISSN: ['0956-7925', '1469-4425']
DOI: https://doi.org/10.1017/s0956792523000098