The asymptotic critical wave speed in a family of scalar reaction–diffusion equations
نویسندگان
چکیده
منابع مشابه
The Asymptotic Critical Wave Speed in a Family of Scalar Reaction-diffusion Equations
We study traveling wave solutions for the class of scalar reaction-diffusion equations ∂u ∂t = ∂u ∂x + fm(u), where the family of potential functions {fm} is given by fm(u) = 2u (1 − u). For each m ≥ 1 real, there is a critical wave speed ccrit(m) that separates waves of exponential structure from those which decay only algebraically. We derive a rigorous asymptotic expansion for ccrit(m) in th...
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We investigate traveling wave solutions in a family of reaction-diffusion equations which includes the Fisher–Kolmogorov–Petrowskii–Piscounov (FKPP) equation with quadratic nonlinearity and a bistable equation with degenerate cubic nonlinearity. It is known that, for each equation in this family, there is a critical wave speed which separates waves of exponential decay from those of algebraic d...
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critical period effects in foreign language learning:the influence of maturational state on the acquisition of reading,writing, and grammar in english as a foreign language
since the 1960s the age effects on learning both first and second language have been explored by many linguists and applied linguists (e.g lennerberg, 1967; schachter, 1996; long, 1990) and the existence of critical period for language acquisition was found to be a common ground of all these studies. in spite of some common findings, some issues about the impacts of age on acquiring a second or...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.03.050