Spatial decay estimates for reaction-diffusion systems
نویسندگان
چکیده
منابع مشابه
Spatial Decay of Rotating Waves in Reaction-Diffusion Systems
In this paper we study nonlinear problems for Ornstein-Uhlenbeck operators A△v(x) + 〈Sx,∇v(x)〉+ f(v(x)) = 0, x ∈ R, d > 2, where the matrix A ∈ R is diagonalizable and has eigenvalues with positive real part, the map f : R → R is sufficiently smooth and the matrix S ∈ R in the unbounded drift term is skew-symmetric. Nonlinear problems of this form appear as stationary equations for rotating wav...
متن کاملEnergy estimates for continuous and discretized electro-reaction-diffusion systems
We consider electro-reaction-diffusion systems consisting of continuity equations for a finite number of species coupled with a Poisson equation. We take into account heterostructures, anisotropic materials and rather general statistic relations. We investigate thermodynamic equilibria and prove for solutions to the evolution system the monotone and exponential decay of the free energy to its e...
متن کاملSpatial-Stochastic Simulation of Reaction-Diffusion Systems
In biological systems, biochemical networks play a crucial role, implementing a broad range of vital functions from regulation and communication to resource transport and shape alteration. While biochemical networks naturally occur at low copy numbers and in a spatial setting, this fact often is ignored and well-stirred conditions are assumed for simplicity. Yet, it is now increasingly becoming...
متن کاملDecay Estimates for Hyperbolic Systems
In this work we study the Sobolev spaces generated by pseudo-differential operators associated with the group of symmetry of general first order hyperbolic systems. In these spaces we establish pointwise estimates of the solutions of a class of first order systems having convex eigenvalues. Various physical models belong to this class. For example, we consider crystal optics systems and anisotr...
متن کاملInterior Estimates for a Class of Reaction-diffusion Systems from L a Priori Estimates
We obtain interior estimates for a class of semilinear reaction-diffusion systems from L a priori estimates. Our results are applied to a predator-prey model in which the species switch the role of predator and prey on given subsets of their domain of interaction, and a one dimensional flame propagation model. Extensions of earlier results in Morgan [14], [15] follow from the analysis.
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: Quarterly of Applied Mathematics
سال: 1989
ISSN: 0033-569X,1552-4485
DOI: 10.1090/qam/1012275