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April  2015, 35(4): i-iii. doi: 10.3934/dcds.2015.35.4i

Preface: Special issue on dissipative systems and applications with emphasis on nonlocal or nonlinear diffusion problems

Georg Hetzer 1, and  Wenxian Shen 2,

1. 

Mathematics & Statistics, Auburn University, College of Sciences and Mathematics, 221 Parker, Auburn, Alabama 36849, United States
2. 

Department of Mathematics & Statistics, Auburn University, Auburn, AL 36849

Published  November 2014

The strong interest in infinite dimensional dissipative systems originated from the observation that the dynamics of large classes of partial differential equations and systems resembles the behavior known from the modern theory of finite-dimensional dynamical systems. Reaction-diffusion problems are typical examples in this context. In biological applications linear diffusion represents random dispersal of a species, but in many cases other dispersal strategies occur, which has led to models with cross diffusion and nonlocal dispersal.

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Citation: Georg Hetzer, Wenxian Shen. Preface: Special issue on dissipative systems and applications with emphasis on nonlocal or nonlinear diffusion problems. Discrete and Continuous Dynamical Systems, 2015, 35 (4) : i-iii. doi: 10.3934/dcds.2015.35.4i
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