Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
نویسندگان
چکیده
منابع مشابه
Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
We consider one-dimensional reaction-diffusion equations for a large class of spatially periodic nonlinearities – including multistable ones – and study the asymptotic behavior of solutions with Heaviside type initial data. Our analysis reveals some new dynamics where the profile of the propagation is not characterized by a single front, but by a layer of several fronts which we call a terrace....
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2014
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2014-06105-9