Global existence of solutions to Shigesada-Kawasaki-Teramoto cross-diffusion systems on domains of arbitrary dimensions
نویسندگان
چکیده
منابع مشابه
Shigesada-kawasaki-teramoto Model on Higher Dimensional Domains
We investigate the existence of a global attractor for a class of triangular cross diffusion systems in domains of any dimension. These systems includes the Shigesada-Kawasaki-Teramoto (SKT) model, which arises in population dynamics and has been studied in two dimensional domains. Our results apply to the (SKT) system when the dimension of the domain is at most 5.
متن کاملOn 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...
متن کاملGlobal attractors and uniform persistence for cross diffusion parabolic systems
A class of cross diffusion parabolic systems given on bounded domains of IR, with arbitrary n, is investigated. We show that there is a global attractor with finite Hausdorff dimension which attracts all solutions. The result will be applied to the generalized Shigesada, Kawasaki and Teramoto (SKT) model with Lotka-Volterra reactions. In addition, the persistence property of the SKT model will ...
متن کاملGlobal existence for semilinear reaction-diffusion systems on evolving domains.
We present global existence results for solutions of reaction-diffusion systems on evolving domains. Global existence results for a class of reaction-diffusion systems on fixed domains are extended to the same systems posed on spatially linear isotropically evolving domains. The results hold without any assumptions on the sign of the growth rate. The analysis is valid for many systems that comm...
متن کاملOn the Existence and Nonexistence of Global Solutions of Reaction-diffusion Equations in Sectorial Domains
In this paper we study the first initial-boundary value problem for u, = Au + up in conical domains D = (0,oo) x Í2 c RN where Í2 C SN~l is an open connected manifold with boundary. We obtain some extensions of some old results of Fujita, who considered the case D = RN . Let X = — ywhere y_ is the negative root of y(y + N 2) = wx and where wx is the smallest Dirichlet eigenvalue of the Laplace-...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2007
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-07-08978-2