The approach of solutions of nonlinear diffusion equations to travelling wave solutions
نویسندگان
چکیده
منابع مشابه
The Approach of Solutions of Nonlinear Diffusion Equations to Travelling Front Solutions
The paper is concerned with the asymptotic behavior as t---, oo of solutions u(x, t) of the equation ut-uxx-f(u)=O, xe( ~, oo), in the case f(0) =f(1) =0, f ' ( 0 )<0 , f ' ( 1 )<0 . Commonly, a travelling front solution u=U(x-ct), U ( o o ) = 0 , U(oo)=l , exists. The following types of global stability results for fronts and various combinations of them will be given. 1. Let u(x,O)=uo(X) sati...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1975
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1975-13922-x