Global martingale solutions for a stochastic population cross-diffusion system
نویسندگان
چکیده
منابع مشابه
On Global Existence of Solutions to a Cross-diffusion System
the Laplacian, ∂/∂ν denotes the directional derivative along the outward normal on ∂Ω, ai, bi, ci, di (i = 1, 2) are given positive constants and α, γ, δ, β are nonnegative constants. In the system (1.1) u and v are non-negative functions which represent population densities of two competing species, d1 and d2 are respectively their diffusion rates. Parameters a1 and a2 are intrinsic growth rat...
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We investigate the global time existence of smooth solutions for the Shigesada-Kawasaki-Teramoto system of cross-diffusion equations of two competing species in population dynamics. If there are self-diffusion in one species and no cross-diffusion in the other, we show that the system has a unique smooth solution for all time in bounded domains of any dimension. We obtain this result by derivin...
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We prove global existence in time of solutions to relaxed conservative cross diffusion systems governed by nonlinear operators of the form ui → ∂tui − ∆(ai(ũ)ui) where the ui, i = 1, ..., I represent I density-functions, ũ is a spatially regularized form of (u1, ..., uI) and the nonlinearities ai are merely assumed to be continuous and bounded from below. Existence of global weak solutions is o...
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2019
ISSN: 0304-4149
DOI: 10.1016/j.spa.2018.11.001