Author: Hans Engler
Publisher:
ISBN:
Category :
Languages : de
Pages : 8
Book Description
Convergence to equilibria for a class of reaction diffusion systems
Author: Hans Engler
Publisher:
ISBN:
Category :
Languages : de
Pages : 8
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 8
Book Description
Singular Limits of Reaction Diffusion Equations of KPP Type in an Infinite Cylinder
Author: Fernando Carreón
Publisher:
ISBN:
Category : Reaction-diffusion equations
Languages : en
Pages : 132
Book Description
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.
Publisher:
ISBN:
Category : Reaction-diffusion equations
Languages : en
Pages : 132
Book Description
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
Author: Gabriela Caristi
Publisher: CRC Press
ISBN: 1000117197
Category : Mathematics
Languages : en
Pages : 428
Book Description
"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."
Publisher: CRC Press
ISBN: 1000117197
Category : Mathematics
Languages : en
Pages : 428
Book Description
"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
Author: Franz Rothe
Publisher: Springer
ISBN: 3540389172
Category : Science
Languages : en
Pages : 222
Book Description
Publisher: Springer
ISBN: 3540389172
Category : Science
Languages : en
Pages : 222
Book Description
The Convergence of Semidiscrete Methods for a System of Reaction-diffusion Equations
Author: University of Minnesota. Institute for Mathematics and Its Applications
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
Book Description
Convergence to equilibrium for delay diffusion equations with small delay
Author: Gero Friesecke
Publisher:
ISBN:
Category :
Languages : de
Pages : 7
Book Description
Publisher:
ISBN:
Category :
Languages : de
Pages : 7
Book Description
Complexity and Evolution of Dissipative Systems
Author: Sergey Vakulenko
Publisher: Walter de Gruyter
ISBN: 3110268280
Category : Mathematics
Languages : en
Pages : 316
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.
Publisher: Walter de Gruyter
ISBN: 3110268280
Category : Mathematics
Languages : en
Pages : 316
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
Author: G. Friesecke
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 7
Book Description
Systems of Reaction-diffusion Equations and Their Attractors
Author: Matthias Büger
Publisher:
ISBN:
Category : Attractors (Mathematics)
Languages : en
Pages : 90
Book Description
Publisher:
ISBN:
Category : Attractors (Mathematics)
Languages : en
Pages : 90
Book Description
A System of Reaction-diffusion Equations
Author: J. M. de Graaf
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
Book Description