Optimal Sub- or Supersolutions in Reaction-Diffusion Problems
نویسندگان
چکیده
منابع مشابه
Optimal Stretching in Advection-Reaction-Diffusion Systems.
We investigate growth of the excitable Belousov-Zhabotinsky reaction in chaotic, time-varying flows. In slow flows, reacted regions tend to lie near vortex edges, whereas fast flows restrict reacted regions to vortex cores. We show that reacted regions travel toward vortex centers faster as flow speed increases, but nonreactive scalars do not. For either slow or fast flows, reaction is promoted...
متن کاملOptimal reaction time for surface-mediated diffusion.
We present an exact calculation of the mean first-passage time to a small target on the surface of a 2D or 3D spherical domain, for a molecule performing surface-mediated diffusion. This minimal model of interfacial reactions, which explicitly takes into account the combination of surface and bulk diffusion, shows the importance of correlations induced by the coupling of the switching dynamics ...
متن کاملGrid equidistribution for reaction-diffusion problems
The numerical solution of a linear singularly-perturbed reaction-diffusion two-point boundary value problem is considered. The method used is adaptive movement of a fixed number of mesh points by equidistribution of a user-chosen monitor function. A partly heuristic argument based on truncation error analysis leads to several suitable monitor functions, but also shows that the standard arc-leng...
متن کاملRenormalisation Group Approach to Reaction-diffusion Problems
We describe how the methods of quantum field theory and the renormalisation group may be applied to classical stochastic particle systems which appear in non-equilibrium statistical mechanics. An emphasis is placed on the similarities and differences between these methods and more conventional applications of quantum field theory. Some simple applications are discussed.
متن کاملEnergy Methods for Reaction - Diffusion Problems
ENERGY METHODS FOR REACTION-DIFFUSION PROBLEMS by Xing Zhong Nonlinear reaction-diffusion equations arise in many areas of applied sciences such as combustion modeling, population dynamics, chemical kinetics, etc. A fundamental problem in the studies of these equations is to understand the long time behavior of solutions of the associated Cauchy problem. These kinds of questions were originally...
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 Differential Equations
سال: 2002
ISSN: 0022-0396
DOI: 10.1006/jdeq.2001.3994