On Impulsive Reaction-Diffusion Models in Higher Dimensions
نویسندگان
چکیده
منابع مشابه
On Impulsive Reaction-Diffusion Models in Higher Dimensions
Assume that Nm(x) denotes the density of the population at a point x at the beginning of the reproductive season in the mth year. We study the following impulsive reaction-diffusion model for any m ∈ Z+ u (m) t = div(A∇u(m) − au(m)) + f(u(m)) for (x, t) ∈ Ω× (0, 1] u(m)(x, 0) = g(Nm(x)) for x ∈ Ω Nm+1(x) := u(m)(x, 1) for x ∈ Ω for functions f, g, a drift a and a diffusion matrix A and Ω ⊂...
متن کاملInertial Manifolds for Reaction Diffusion Equations in Higher Space Dimensions
In this paper we show that the scalar reaction di1rusion equationu/ = v6.u + f(x, u),UERwith x E On C Rn (n = 2,3) and with Dirichlet, Neumann, or peri-odic boundary conditions, has an inertial manifold when (1) the equation isdissipative, and (2) f is of class C3 and for 03 = (O,2n:)3 or Oz =(O,2n:/at> x (0, 2n:/az), where al and az are positive. The proof is basedo...
متن کاملKinetic roughening in growth models with diffusion in higher dimensions
We present results of numerical simulations of kinetic roughening for a growth model with surface diffusion (the Wolf-Villain model) in 3+1 and 4+1 dimensions using lattices of a linear size up to L=64 in 3+1 D and L=32 in 4+1 D. The effective exponents calculated both from the surface width and from the height–height correlation function are much larger than those expected based on results in ...
متن کاملSpreading speed, traveling waves, and minimal domain size in impulsive reaction-diffusion models.
How growth, mortality, and dispersal in a species affect the species' spread and persistence constitutes a central problem in spatial ecology. We propose impulsive reaction-diffusion equation models for species with distinct reproductive and dispersal stages. These models can describe a seasonal birth pulse plus nonlinear mortality and dispersal throughout the year. Alternatively, they can desc...
متن کاملLocally Localized Gravity Models in Higher Dimensions
We explore the possibility of generalizing the locally localized gravity model in five space-time dimensions to arbitrary higher dimensions. In a space-time with negative cosmological constant, there are essentially two kinds of higher-dimensional cousins which not only take an analytic form but also are free from the naked curvature singularity in a whole bulk space-time. One cousin is a trivi...
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: SIAM Journal on Applied Mathematics
سال: 2017
ISSN: 0036-1399,1095-712X
DOI: 10.1137/15m1046666