Exponential convergence to equilibrium in a Poisson-Nernst-Planck-type system with nonlinear diffusion

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.2915 ◽

2015 ◽

Vol 36 (5) ◽

pp. 2915-2930 ◽

Author(s):

Jonathan Zinsl

Keyword(s):

Nonlinear Diffusion ◽

Exponential Convergence ◽

Type System ◽

Convergence To Equilibrium

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Self-organized criticality and convergence to equilibrium of solutions to nonlinear diffusion equations

Annual Reviews in Control ◽

10.1016/j.arcontrol.2009.12.002 ◽

2010 ◽

Vol 34 (1) ◽

pp. 52-61 ◽

Author(s):

Viorel Barbu

Keyword(s):

Nonlinear Diffusion ◽

Diffusion Equations ◽

Convergence To Equilibrium ◽

Nonlinear Diffusion Equations ◽

Self Organized ◽

Self Organized Criticality

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Exponential convergence to equilibrium for the $d$-dimensional East model

Electronic Communications in Probability ◽

10.1214/19-ecp261 ◽

2019 ◽

Vol 24 (0) ◽

Author(s):

Laure Marêché

Keyword(s):

Exponential Convergence ◽

Convergence To Equilibrium

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On the entropy method and exponential convergence to equilibrium for a recombination–drift–diffusion system with self-consistent potential

Applied Mathematics Letters ◽

10.1016/j.aml.2017.12.017 ◽

2018 ◽

Vol 79 ◽

pp. 196-204 ◽

Author(s):

Klemens Fellner ◽

Michael Kniely

Keyword(s):

Exponential Convergence ◽

Entropy Method ◽

Diffusion System ◽

Convergence To Equilibrium ◽

Drift Diffusion ◽

Self Consistent

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On the Swendsen-Wang dynamics. I. Exponential convergence to equilibrium

Journal of Statistical Physics ◽

10.1007/bf01020862 ◽

1991 ◽

Vol 62 (1-2) ◽

pp. 117-133 ◽

Author(s):

Fabio Martinelli ◽

Enzo Olivieri ◽

Elisabetta Scoppola

Keyword(s):

Exponential Convergence ◽

Convergence To Equilibrium

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Exponential Convergence to Equilibrium in Cellular Automata Asymptotically Emulating Identity

Complex Systems ◽

10.25088/complexsystems.23.1.1 ◽

2014 ◽

Vol 23 (1) ◽

pp. 1-26 ◽

Author(s):

Henryk Fukś ◽

◽

José Manuel Gómez Soto Manuel Gómez Soto

Keyword(s):

Cellular Automata ◽

Exponential Convergence ◽

Convergence To Equilibrium

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Exponential Convergence to Equilibrium for Nonlinear Reaction-Diffusion Systems Arising in Reversible Chemistry

IFIP Advances in Information and Communication Technology - System Modeling and Optimization ◽

10.1007/978-3-662-45504-3_9 ◽

2014 ◽

pp. 96-104 ◽

Author(s):

Laurent Desvillettes ◽

Klemens Fellner

Keyword(s):

Exponential Convergence ◽

Reaction Diffusion ◽

Convergence To Equilibrium ◽

Reaction Diffusion Systems ◽

Nonlinear Reaction ◽

Diffusion Systems

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Exponential convergence for nonlinear diffusion problems with positive lateral boundary conditions

Journal of Mathematical Physics ◽

10.1063/1.526603 ◽

1985 ◽

Vol 26 (4) ◽

pp. 660-663 ◽

Author(s):

Charles J. Holland ◽

James G. Berryman

Keyword(s):

Boundary Conditions ◽

Nonlinear Diffusion ◽

Exponential Convergence ◽

Lateral Boundary ◽

Lateral Boundary Conditions ◽

Diffusion Problems

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Explicit exponential convergence to equilibrium for nonlinear reaction–diffusion systems with detailed balance condition

Nonlinear Analysis ◽

10.1016/j.na.2017.02.007 ◽

2017 ◽

Vol 159 ◽

pp. 145-180 ◽

Author(s):

Klemens Fellner ◽

Bao Quoc Tang

Keyword(s):

Exponential Convergence ◽

Detailed Balance ◽

Reaction Diffusion ◽

Convergence To Equilibrium ◽

Reaction Diffusion Systems ◽

Detailed Balance Condition ◽

Balance Condition ◽

Nonlinear Reaction ◽

Diffusion Systems

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Exponential convergence to equilibrium of solutions of the Kac equation and homogeneous Boltzmann equation for Maxwellian without angular cut-off

Asymptotic Analysis ◽

10.3233/asy-171407 ◽

2017 ◽

Vol 101 (4) ◽

pp. 251-271

Author(s):

Fei Meng ◽

Xiao-Ping Yang

Keyword(s):

Boltzmann Equation ◽

Exponential Convergence ◽

Convergence To Equilibrium ◽

Homogeneous Boltzmann Equation ◽

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A parabolic–elliptic chemotaxis system with nonlinear diffusion approached from a Cahn–Hilliard-type system

Journal of Evolution Equations ◽

10.1007/s00028-020-00651-5 ◽

2020 ◽

Author(s):

Shunsuke Kurima

Keyword(s):

Nonlinear Diffusion ◽

Type System ◽

Chemotaxis System

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