Hydrodynamic Behavior And Interacting Particle Systems
DOWNLOAD
Download Hydrodynamic Behavior And Interacting Particle Systems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Hydrodynamic Behavior And Interacting Particle Systems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Hydrodynamic Behavior And Interacting Particle Systems
DOWNLOAD
Author : George Papanicolaou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hydrodynamic Behavior And Interacting Particle Systems written by George Papanicolaou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This IMA Volume in Mathematics and its Applications HYDRODYNAMIC BEHAVIOR AND INTERACTING PARTICLE SYSTEMS is in part the proceedings of a workshop which was an integral part of the 1985-86 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especially thank the Program Organizer, George Papanicolaou for orga nizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George R. Sell Hans Weinberger PREFACE A workshop on the hydrodynamic behavior of interacting particle systems was held at the Institute for Mathematics and its Applications at the University of Minnesota during the week of March 17, 1986. Fifteen papers presented at the workshop are collected in this volume. They contain research in several different directions that are currently being pursued. The paper of Chaikin, Dozier and Lindsay is concerned with experimental results on suspensions in regimes where modern mathematical methods could be useful. The paper of Fritz gives an introduction to these methods as does the paper of Spohn. Analytical methods currently used by in the physics and chemistry literature are presented in the paper of Freed, Wang and Douglas. The paper of Caflisch deals with time dependent effects in sedimentation.
Hydrodynamic Behavior And Interacting Particle Systems
DOWNLOAD
Author : George Papanicolaou
language : it
Publisher:
Release Date : 1987
Hydrodynamic Behavior And Interacting Particle Systems written by George Papanicolaou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Hydrodynamic Behavior And Interacting Particle
DOWNLOAD
Author : George Papanicolaou
language : en
Publisher:
Release Date : 1987
Hydrodynamic Behavior And Interacting Particle written by George Papanicolaou and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.
Scaling Limits Of Interacting Particle Systems
DOWNLOAD
Author : Claude Kipnis
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Scaling Limits Of Interacting Particle Systems written by Claude Kipnis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
This book has been long awaited in the "interacting particle systems" community. Begun by Claude Kipnis before his untimely death, it was completed by Claudio Landim, his most brilliant student and collaborator. It presents the techniques used in the proof of the hydrodynamic behavior of interacting particle systems.
Hydrodynamic Limits And Equilibrium Fluctuations For Interacting Particle Systems
DOWNLOAD
Author : Nagy Katalin
language : en
Publisher:
Release Date : 2006
Hydrodynamic Limits And Equilibrium Fluctuations For Interacting Particle Systems written by Nagy Katalin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.
Interacting Particle Systems With Partial Annihilation Through Membranes
DOWNLOAD
Author : Wai Tong Fan
language : en
Publisher:
Release Date : 2014
Interacting Particle Systems With Partial Annihilation Through Membranes written by Wai Tong Fan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with categories.
This thesis studies the hydrodynamic limit and the fluctuation limit for a class of interacting particle systems in domains. These systems are introduced to model the transport of positive and negative charges in solar cells. However, they are general microscopic models that can describe a variety of macroscopic phenomena with coupled boundary conditions, such as the population dynamics of two segregated species under competition. Proving these two types of limits represents establishing the functional law of large numbers and the functional central limit theorem, respectively, for the time-trajectory of the particle densities. This also corresponds to the study of the behavior of the system at two different scales. We show that the hydrodynamic limit is a pair of deterministic measures whose densities solve a coupled nonlinear heat equations, while the fluctuation limit can be described by a Gaussian Markov process that solves a stochastic partial differential equation.
Brownian Particles Interacting With A Newtonian Barrier
DOWNLOAD
Author : Clayton Barnes
language : en
Publisher:
Release Date : 2018
Brownian Particles Interacting With A Newtonian Barrier written by Clayton Barnes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.
In this thesis, we pioneer the use of Skorohod maps in establishing the hydrodynamic behavior of an interacting particle system. This technique has the benefit of using stochastic methods to show both existence and uniqueness of the resulting PDE with free boundary condition. In 2001, Frank Knight constructed a stochastic process modeling the one dimensional interaction of two particles, one being Newtonian in the sense that it obeys Newton's laws of motion, and the other particle being Brownian. In the first chapter we construct a multi-particle analog, using Skorohod map estimates in proving a propagation of chaos and characterizing the hydrodynamic limit as the solution to a PDE with free boundary condition. The resulting PDE is similar to the solution of the Stefan problem. As mentioned, both existence and uniqueness of the PDE are done using stochastic methods; the uniqueness is done using a novel, and new, coupling method. In the second chapter, we give a strong approximation of Brownian motion with inert drift. We also determine the distribution of the maximum of the Newtonian particle via its Laplace transform. In the third chapter, we consider a random walker on the nonnegative lattice, moving in continuous time, whose transition rate is a linear function of the time the walker spends at the origin. In this way the walker is a jump process with a stochastic and adapted intensity. When Brownian scaling is introduced, such a process converges to Brownian motion with inert drift. This solves a conjecture of Burdzy and White in 2008. This convergence result is used to show two Brownian motions separated by an inert particle has a product stationary distribution on its state space where the velocity of the inert particle is Gaussian. This process of two Brownian motions separated by an inert particle was studied by White, in 2007, where the demonstration of existence for the process contains a nontrivial gap that we complete.
Hydrodynamics For Some Interacting Particle Systems
DOWNLOAD
Author : Valle. Glauco
language : en
Publisher:
Release Date : 2003
Hydrodynamics For Some Interacting Particle Systems written by Valle. Glauco and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Interacting Particle Systems And Their Scaling Limits
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1996
Interacting Particle Systems And Their Scaling Limits written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
The primary objective of this project was to understand the long term behavior of interacting systems with a large number of components, especially in the presence of one or more conserved quantities. The basic tool that we used in the analysis was the Dirichlet form. For the model known as the Symmetric Simple Exclusion we established the large deviation principle and in the process of completing the above work we developed an improved existence and uniqueness theory for time inhomogeneous diffusion processes with generators in divergence form involving diffusion coefficients that are degenerate and have only minimal smoothness. We established hydrodynamic limit and large deviation estimates for lattice gas models involving Gibbs measures that satisfy mixing conditions. This is a nongradient system and we had to extend the methods developed earlier for product measures to Gibbs measures with mixing conditions.
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences
DOWNLOAD
Author : Giovanni Naldi
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-08-12
Mathematical Modeling Of Collective Behavior In Socio Economic And Life Sciences written by Giovanni Naldi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-12 with Mathematics categories.
Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.