The effect of nonlocal convection on reaction-diffusion equations
نویسندگان
چکیده
منابع مشابه
Metastable Dynamics of Convection-diffusion-reaction Equations
Metastable dynamics, which qualitatively refers to physical processes that involve an extremely slow approach to their nal equilibrium states, is often associated with singularly perturbed convection-di usion-reaction equations. A problem exhibits metastable behavior when the approach to equilibrium occurs on a time-scale of order O(eC" ), where C > 0 and " is the singular perturbation paramete...
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15 صفحه اولMinimal 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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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1987
ISSN: 0018-2079
DOI: 10.32917/hmj/1206130067