Quenching Phenomena Due to a Concentrated Nonlinear Source in an Infinitely Long Cylinder
نویسندگان
چکیده
منابع مشابه
A Blow-up Criterion for a Degenerate Parabolic Problem Due to a Concentrated Nonlinear Source
Let q, a, b, and T be real numbers with q ≥ 0, a > 0, 0 < b < 1, and T > 0. This article studies the following degenerate semilinear parabolic first initial-boundary value problem, xut(x, t)− uxx(x, t) = aδ(x− b)f (u(x, t)) for 0 < x < 1, 0 < t ≤ T, u(x, 0) = ψ(x) for 0 ≤ x ≤ 1, u(0, t) = u(1, t) = 0 for 0 < t ≤ T, where δ (x) is the Dirac delta function, and f and ψ are given functions. It is ...
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ژورنال
عنوان ژورنال: Journal of Applied Mathematics and Physics
سال: 2019
ISSN: 2327-4352,2327-4379
DOI: 10.4236/jamp.2019.79138