Slow travelling waves on a finite interval for Burgers’-type equations
نویسندگان
چکیده
منابع مشابه
Exponentially slow traveling waves on a finite interval for Burgers’ type equation
In this paper we study for small positive the slow motion of the solution for evolution equations of Burgers’ type with small diffusion, ut = uxx + f(u)ux , u(x, 0) = u0(x), u(±1, t) = ±1, (?) on the bounded spatial domain [−1, 1]; f is a smooth function satisfying f(1) > 0, f(−1) < 0 and ∫ 1 −1 f(t)dt = 0. The initial and boundary value problem (?) has a unique asymptotically stable equilibriu...
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ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2001
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(00)00597-5