Some More Solutions of Burgers' Equation
نویسندگان
چکیده
منابع مشابه
Some asymptotic limits for solutions of Burgers equation
§1 – Introduction. In this paper, we compute the limits (1) γ p = lim t → ∞ t 1 2 (1 − 1 p) u(·, t) p , 1 ≤ p ≤ ∞ for solutions u(·, t) of the equation (2) u t + a u x + b u u x = c u xx satisfying the Cauchy condition (3) u(x, 0) = u 0 (x), u 0 ∈ L 1 (R), that is, u(·, t) − u 0 1 → 0 as t → 0, t > 0. Here, u(·, t) p denotes the L p norm of u(·, t) as a function of x for fixed t, i.e., (4) u(·,...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2015
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/574/1/012038