Minimal speed of fronts of reaction-convection-diffusion equations
نویسندگان
چکیده
منابع مشابه
Minimal speed of fronts of reaction-convection-diffusion equations.
We study the minimal speed of propagating fronts of convection-reaction-diffusion equations of the form u(t)+microphi(u)u(x)=u(xx)+f(u) for positive reaction terms with f(')(0)>0. The function phi(u) is continuous and vanishes at u=0. A variational principle for the minimal speed of the waves is constructed from which upper and lower bounds are obtained. This permits the a priori assessment of ...
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In a recent paper Goriely considers the one–dimensional scalar reaction– diffusion equation ut = uxx + f(u) with a polynomial reaction term f(u) and conjectures the existence of a relation between a global resonance of the hamiltonian system uxx+f(u) = 0 and the asymptotic speed of propagation of fronts of the reaction diffusion equation. Based on this conjecture an explicit expression for the ...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2004
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.69.031106