Analysis of a Convective Reaction-Diffusion Equation II
نویسندگان
چکیده
We study the large time behavior of positive solutions of the semilinear parabolic equation ut Uxx + e(g(u))x + f(u), 0 < x < L, e E R, subject to u(O,t) u(i,t) 0. The model problem in which the results apply is g(u) u and f(u) up 1 < m < p. The steady state problem is analyzed in some detail, and results about finite time blow up are proved.
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