From Particle Systems to Partial Differential Equations III: Particle Systems and Pdes III, Braga, Portugal, December 2014, Gonзalves Patrнcia, Soares Ana Jacinta
Описание: Partial differential equations are one of the most used widely forms of mathematics in science and engineering. Two fractional PDEs can be considered, fractional in time, and fractional in space. This volume is directed to the development and use of SFPDEs, providing a discussion of applications from classical integer PDEs.
Автор: Wang Wei, Chen Xiaopeng, LV Yan Название: Stochastic Pdes and Modelling of Multiscale Complex System ISBN: 9811200343 ISBN-13(EAN): 9789811200342 Издательство: World Scientific Publishing Рейтинг: Цена: 14256.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is devoted to original research results and survey articles reviewing recent developments in reduction for stochastic PDEs with multiscale as well as application to science and technology, and to present some future research direction. This volume includes a dozen chapters by leading experts in the area, with a broad audience in mind. It should be accessible to graduate students, junior researchers and other professionals who are interested in the subject. We also take this opportunity to celebrate the contributions of Professor Anthony J Roberts, an internationally leading figure on the occasion of his 60th years birthday in 2017.
Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.
Автор: Patr?cia Gon?alves; Ana Jacinta Soares Название: From Particle Systems to Partial Differential Equations II ISBN: 3319384708 ISBN-13(EAN): 9783319384702 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Part I Mini-Courses: C. Bernardin: Diffusion of energy in chains of oscillators with conservative noise.- V. Giovangigli: Dissipative reactive fluid models from the kinetic theory.- Part II Short Papers: D. Bessam: Large deviations in a Gaussian setting: the role of the Cameron-Martin space.- F. Carvalho, J.K. Polewczak and A.J. Soares: Kinetic theory of simple reacting spheres: an application to coloring processes.- W. De Roeck and F. Huveneers: Can translation invariant systems exhibit a many-body localized phase?.- P. Duarte and M.J. Torres: Stability of non-deterministic systems.- P. Goncalves: Derivation of the Stochastic Burgers equation from the WASEP.- E. Luзon: Large population asymptotics for interacting diffusions in a quenched random environment.- D. Madjarevic: Shock structure and temperature overshoot in macroscopic multi-temperature model of binary mixtures.- A. Nota: Diffusive limit for the random Lorentz gas.-M.J. Oliveira and R.V. Mendes: Fractional Boson gas and fractional Poisson measure in infinite dimensions.- M.P. Ramos, A.J. Soares: Dynamical properties of a cosmological model with diffusion.- S. Simic: The structure of shock waves in dissipative hyperbolic models.- M. Simon: Diffusion coefficient for the disordered harmonic chain perturbed by an energy conserving noise.- G.M. Schьtz: Conditioned stochastic particle systems and integrable quantum spin systems.
Автор: Gon?alves Название: From Particle Systems to Partial Differential Equations III ISBN: 3319321420 ISBN-13(EAN): 9783319321424 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The main focus of this book is on different topics in probability theory, partial differential equations and kinetic theory, presenting some of the latest developments in these fields. It addresses mathematical problems concerning applications in physics, engineering, chemistry and biology that were presented at the Third International Conference on Particle Systems and Partial Differential Equations, held at the University of Minho, Braga, Portugal in December 2014. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, providing a venue for them to present their latest findings and discuss their areas of expertise. Further, it was intended to introduce a vast and varied public, including young researchers, to the subject of interacting particle systems, its underlying motivation, and its relation to partial differential equations. This book will appeal to probabilists, analysts and those mathematicians whose work involves topics in mathematical physics, stochastic processes and differential equations in general, as well as those physicists whose work centers on statistical mechanics and kinetic theory.
Автор: Patr?cia Gon?alves; Ana Jacinta Soares Название: From Particle Systems to Partial Differential Equations ISBN: 3319668382 ISBN-13(EAN): 9783319668383 Издательство: Springer Рейтинг: Цена: 22359.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
"This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic "basic" terms involved in the formulation of the dynamic O4 theory in three space dimensions, as well as selected contributions presented at the fourth meeting on Particle Systems and PDEs, which was held at the University of Minho's Centre of Mathematics in December 2015. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, offering them a forum to present their recent results and discuss their topics of expertise. The meeting was also intended to present to a vast and varied public, including young researchers, the area of interacting particle systems, its underlying motivation, and its relation to partial differential equations.
The book will be of great interest to probabilists, analysts, and all mathematicians whose work focuses on topics in mathematical physics, stochastic processes and differential equations in general, as well as physicists working in statistical mechanics and kinetic theory."
Автор: Patr?cia Gon?alves; Ana Jacinta Soares Название: From Particle Systems to Partial Differential Equations II ISBN: 3319166360 ISBN-13(EAN): 9783319166360 Издательство: Springer Рейтинг: Цена: 19564.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Part I Mini-Courses: C. Bernardin: Diffusion of energy in chains of oscillators with conservative noise.- V. Giovangigli: Dissipative reactive fluid models from the kinetic theory.- Part II Short Papers: D. Bessam: Large deviations in a Gaussian setting: the role of the Cameron-Martin space.- F. Carvalho, J.K. Polewczak and A.J. Soares: Kinetic theory of simple reacting spheres: an application to coloring processes.- W. De Roeck and F. Huveneers: Can translation invariant systems exhibit a many-body localized phase?.- P. Duarte and M.J. Torres: Stability of non-deterministic systems.- P. Goncalves: Derivation of the Stochastic Burgers equation from the WASEP.- E. Luзon: Large population asymptotics for interacting diffusions in a quenched random environment.- D. Madjarevic: Shock structure and temperature overshoot in macroscopic multi-temperature model of binary mixtures.- A. Nota: Diffusive limit for the random Lorentz gas.-M.J. Oliveira and R.V. Mendes: Fractional Boson gas and fractional Poisson measure in infinite dimensions.- M.P. Ramos, A.J. Soares: Dynamical properties of a cosmological model with diffusion.- S. Simic: The structure of shock waves in dissipative hyperbolic models.- M. Simon: Diffusion coefficient for the disordered harmonic chain perturbed by an energy conserving noise.- G.M. Schьtz: Conditioned stochastic particle systems and integrable quantum spin systems.
Автор: C?dric Bernardin; Patricia Gon?alves Название: From Particle Systems to Partial Differential Equations ISBN: 3642542700 ISBN-13(EAN): 9783642542701 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.
The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest research developments in those fields. Among the participants were researchers in probability, partial differential equations and kinetics theory. The aim of the meeting was to present to a varied public the subject of interacting particle systems, its motivation from the viewpoint of physics and its relation with partial differential equations or kinetics theory and to stimulate discussions and possibly new collaborations among researchers with different backgrounds.
The book contains lecture notes written by Fran ois Golse on the derivation of hydrodynamic equations (compressible and incompressible Euler and Navier-Stokes) from the Boltzmann equation, and several short papers written by some of the participants in the conference. Among the topics covered by the short papers are hydrodynamic limits; fluctuations; phase transitions; motions of shocks and anti shocks in exclusion processes; large number asymptotics for systems with self-consistent coupling; quasi-variational inequalities; unique continuation properties for PDEs and others.
The book will benefit probabilists, analysts and mathematicians who are interested in statistical physics, stochastic processes, partial differential equations and kinetics theory, along with physicists.
Автор: C?dric Bernardin; Patricia Gon?alves Название: From Particle Systems to Partial Differential Equations ISBN: 3662512408 ISBN-13(EAN): 9783662512401 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book presents the proceedings of the international conference Particle Systems and Partial Differential Equations I, which took place at the Centre of Mathematics of the University of Minho, Braga, Portugal, from the 5th to the 7th of December, 2012.
The purpose of the conference was to bring together world leaders to discuss their topics of expertise and to present some of their latest research developments in those fields. Among the participants were researchers in probability, partial differential equations and kinetics theory. The aim of the meeting was to present to a varied public the subject of interacting particle systems, its motivation from the viewpoint of physics and its relation with partial differential equations or kinetics theory and to stimulate discussions and possibly new collaborations among researchers with different backgrounds.
The book contains lecture notes written by Fran ois Golse on the derivation of hydrodynamic equations (compressible and incompressible Euler and Navier-Stokes) from the Boltzmann equation, and several short papers written by some of the participants in the conference. Among the topics covered by the short papers are hydrodynamic limits; fluctuations; phase transitions; motions of shocks and anti shocks in exclusion processes; large number asymptotics for systems with self-consistent coupling; quasi-variational inequalities; unique continuation properties for PDEs and others.
The book will benefit probabilists, analysts and mathematicians who are interested in statistical physics, stochastic processes, partial differential equations and kinetics theory, along with physicists.
Hendrik Weber (Warwick University, UK) - Interacting Particle Systems
Bernt Wennberg (University of Gothenburg, Sweden) - Kinetic Theory & Modelling
Автор: Patr?cia Gon?alves; Ana Jacinta Soares Название: From Particle Systems to Partial Differential Equations ISBN: 3319883240 ISBN-13(EAN): 9783319883243 Издательство: Springer Рейтинг: Цена: 20962.00 р. Наличие на складе: Поставка под заказ.
Описание:
This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic "basic" terms involved in the formulation of the dynamic Ц4 theory in three space dimensions, as well as selected contributions presented at the fourth meeting on Particle Systems and PDEs, which was held at the University of Minho's Centre of Mathematics in December 2015. The purpose of the conference was to bring together prominent researchers working in the fields of particle systems and partial differential equations, offering them a forum to present their recent results and discuss their topics of expertise. The meeting was also intended to present to a vast and varied public, including young researchers, the area of interacting particle systems, its underlying motivation, and its relation to partial differential equations.
The book will be of great interest to probabilists, analysts, and all mathematicians whose work focuses on topics in mathematical physics, stochastic processes and differential equations in general, as well as physicists working in statistical mechanics and kinetic theory."
Автор: Carinci Название: Free Boundary Problems in PDEs and Particle Systems ISBN: 3319333690 ISBN-13(EAN): 9783319333694 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In this volume a theory for models of transport in the presence of a free boundary is developed.
Macroscopic laws of transport are described by PDE's.
When the system is open, there are several mechanisms to couple the system with the external forces. Here a class of systems where the interaction with the exterior takes place in correspondence of a free boundary is considered. Both continuous and discrete models sharing the same structure are analysed.
In Part I a free boundary problem related to the Stefan Problem is worked out in all details. For this model a new notion of relaxed solution is proposed for which global existence and uniqueness is proven. It is also shown that this is the hydrodynamic limit of the empirical mass density of the associated particle system. In Part II several other models are discussed. The expectation is that the results proved for the basic model extend to these other cases.
All the models discussed in this volume have an interest in problems arising in several research fields such as heat conduction, queuing theory, propagation of fire, interface dynamics, population dynamics, evolution of biological systems with selection mechanisms.
In general researchers interested in the relations between PDE’s and stochastic processes can find in this volume an extension of this correspondence to modern mathematical physics.
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