Convergence to equilibria for a class of reaction diffusion systems

Convergence to equilibria for a class of reaction diffusion systems PDF Author: Hans Engler
Publisher:
ISBN:
Category :
Languages : de
Pages : 8

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Convergence to equilibria for a class of reaction diffusion systems

Convergence to equilibria for a class of reaction diffusion systems PDF Author: Hans Engler
Publisher:
ISBN:
Category :
Languages : de
Pages : 8

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Singular Limits of Reaction Diffusion Equations of KPP Type in an Infinite Cylinder

Singular Limits of Reaction Diffusion Equations of KPP Type in an Infinite Cylinder PDF Author: Fernando Carreón
Publisher:
ISBN:
Category : Reaction-diffusion equations
Languages : en
Pages : 132

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In this thesis, we establish the asymptotic analysis of the singularly perturbed reaction diffusion equation [cataloger unable to transcribe mathematical equations] ... Our results establish the specific dependency on the coefficients of this equation and the size of the parameter [delta] with respect to [epsilon]. The analyses include equation subject to Dirichlet and Neumann boundary conditions. In both cases, the solutions u[superscript epsilon] converge locally uniformally to the equilibria of the reaction term f. We characterize the limiting behavior of the solutions through the viscosity solution of a variational inequality. To construct the coefficients defining the variational inequality, we apply concepts developed for the homogenization of elliptic operators. In chapter two, we derive the convergence results in the Neumann case. The third chapter is dedicated to the analysis of the Dirichlet case.

Reaction Diffusion Systems

Reaction Diffusion Systems PDF Author: Gabriela Caristi
Publisher: CRC Press
ISBN: 1000117197
Category : Mathematics
Languages : en
Pages : 428

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"Based on the proceedings of the International Conference on Reaction Diffusion Systems held recently at the University of Trieste, Italy. Presents new research papers and state-of-the-art surveys on the theory of elliptic, parabolic, and hyperbolic problems, and their related applications. Furnishes incisive contribution by over 40 mathematicians representing renowned institutions in North and South America, Europe, and the Middle East."

Global Solutions of Reaction-Diffusion Systems

Global Solutions of Reaction-Diffusion Systems PDF Author: Franz Rothe
Publisher: Springer
ISBN: 3540389172
Category : Science
Languages : en
Pages : 222

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The Convergence of Semidiscrete Methods for a System of Reaction-diffusion Equations

The Convergence of Semidiscrete Methods for a System of Reaction-diffusion Equations PDF Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 12

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Convergence to equilibrium for delay diffusion equations with small delay

Convergence to equilibrium for delay diffusion equations with small delay PDF Author: Gero Friesecke
Publisher:
ISBN:
Category :
Languages : de
Pages : 7

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Complexity and Evolution of Dissipative Systems

Complexity and Evolution of Dissipative Systems PDF Author: Sergey Vakulenko
Publisher: Walter de Gruyter
ISBN: 3110268280
Category : Mathematics
Languages : en
Pages : 316

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Book Description
This book focuses on the dynamic complexity of neural, genetic networks, and reaction diffusion systems. The author shows that all robust attractors can be realized in dynamics of such systems. In particular, a positive solution of the Ruelle-Takens hypothesis for on chaos existence for large class of reaction-diffusion systems is given. The book considers viability problems for such systems - viability under extreme random perturbations - and discusses an interesting hypothesis of M. Gromov and A. Carbone on biological evolution. There appears a connection with the Kolmogorov complexity theory. As applications, transcription-factors-microRNA networks are considered, patterning in biology, a new approach to estimate the computational power of neural and genetic networks, social and economical networks, and a connection with the hard combinatorial problems.

Convergence to Equilibrium for Delay-diffusion Equations with Small Delay

Convergence to Equilibrium for Delay-diffusion Equations with Small Delay PDF Author: G. Friesecke
Publisher:
ISBN:
Category :
Languages : en
Pages : 7

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Systems of Reaction-diffusion Equations and Their Attractors

Systems of Reaction-diffusion Equations and Their Attractors PDF Author: Matthias Büger
Publisher:
ISBN:
Category : Attractors (Mathematics)
Languages : en
Pages : 90

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A System of Reaction-diffusion Equations

A System of Reaction-diffusion Equations PDF Author: J. M. de Graaf
Publisher:
ISBN:
Category :
Languages : en
Pages : 26

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