Dynamical solutions of singular parabolic equations modeling electrostatic MEMS
نویسندگان
چکیده
منابع مشابه
Numerical Quenching Solutions of a Parabolic Equation Modeling Electrostatic Mems
In this paper, we study the semidiscrete approximation for the following initial-boundary value problem ut(x, t) = uxx(x, t) + λf(x)(1− u(x, t))−p, −l < x < l, t > 0, u(−l, t) = 0, u(l, t) = 0, t > 0, u(x, 0) = u0(x) ≥ 0, −l ≤ x ≤ l, where p > 1, λ > 0 and f(x) ∈ C([−l, l]), symmetric and nondecreasing on the interval (−l, 0), 0 < f(x) ≤ 1, f(−l) = 0, f(l) = 0 and l = 1 2 . We find some cond...
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ژورنال
عنوان ژورنال: Nonlinear Differential Equations and Applications NoDEA
سال: 2014
ISSN: 1021-9722,1420-9004
DOI: 10.1007/s00030-014-0298-6