Spectral theory of heterogeneous diffusion systems
نویسندگان
چکیده
منابع مشابه
Tempered anomalous diffusion in heterogeneous systems
[1] Passive tracers in heterogeneous media experience preasymptotic transport with scale-dependent anomalous diffusion, before eventually converging to the asymptotic diffusion limit. We propose a novel tempered model to capture the slow convergence of sub-diffusion to a diffusion limit for passive tracers in heterogeneous media. Previous research used power-law waiting times to capture the tim...
متن کاملA diffusion-based theory of organism dispersal in heterogeneous populations.
We develop a general theory of organism movement in heterogeneous populations that can explain the leptokurtic movement distributions commonly measured in nature. We describe population heterogeneity in a state-structured framework, employing advection-diffusion as the fundamental movement process of individuals occupying different movement states. Our general analysis shows that population het...
متن کاملDiffusion Maps, Spectral Clustering and Reaction Coordinates of Dynamical Systems
A central problem in data analysis is the low dimensional representation of high dimensional data and the concise description of its underlying geometry and density. In the analysis of large scale simulations of complex dynamical systems, where the notion of time evolution comes into play, important problems are the identification of slow variables and dynamically meaningful reaction coordinate...
متن کاملUniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
In this paper we study the interactions between diffusion and heterogeneity of the environment in the classical diffusive Lotka–Volterra competition systems. In the weak competition case, we establish the uniqueness, hence the global asymptotic stability, of coexistence steady states under various circumstances, and thereby we obtain a complete understanding of the change in dynamics when one o...
متن کاملDecentralized Load Balancing in Heterogeneous Systems Using Diffusion Approach
The grid and cluster computing uses interconnected nodes to solve a problem in parallel in order to improve the response time of the system. Diffusive load balancing algorithms works well when the nodes in the system have the same processing capacity. But little attention was paid in diffusion load balancing algorithms in the literature for distributing the workload in the nodes with different ...
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: Journal of Mathematical Analysis and Applications
سال: 1976
ISSN: 0022-247X
DOI: 10.1016/0022-247x(76)90235-3