大葉大學圖書館 |

Free boundary problems in PDEs and particle systems[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	515.353
書名/作者:	Free boundary problems in PDEs and particle systems/ by Gioia Carinci ... [et al.].
其他作者:	Carinci, Gioia.
出版者:	Cham : : Springer International Publishing :, 2016.
面頁冊數:	vii, 110 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Boundary value problems.
標題:	Differential equations, Partial.
標題:	Mathematics.
標題:	Partial Differential Equations.
標題:	Statistical Physics, Dynamical Systems and Complexity.
標題:	Mathematical Physics.
標題:	Probability Theory and Stochastic Processes.
標題:	Mathematical Methods in Physics.
標題:	Engineering Thermodynamics, Heat and Mass Transfer.
ISBN:	9783319333700
ISBN:	9783319333694
內容註:	Introduction -- Part I The basic model -- Introduction to Part I -- The basic model, definitions and results -- Regularity properties of the barriers -- Lipschitz and L1 estimates -- Mass transport inequalities -- The limit theorems on barriers -- Brownian motion and the heat equation -- Existence of optimal sequences -- Proof of the main theorem -- The basic particle model and its hydrodynamic limit -- Part II Variants of the basic model -- Introduction to Part II -- Independent walkers with current reservoirs -- Beyond diffusive scaling -- Other models.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-33370-0

Free boundary problems in PDEs and particle systems[electronic resource] /
Free boundary problems in PDEs and particle systems[electronic resource] /by Gioia Carinci ... [et al.]. - Cham :Springer International Publishing :2016. - vii, 110 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematical physics,v.122197-1757 ;. - SpringerBriefs in mathematical physics ;v.1..

Introduction -- Part I The basic model -- Introduction to Part I -- The basic model, definitions and results -- Regularity properties of the barriers -- Lipschitz and L1 estimates -- Mass transport inequalities -- The limit theorems on barriers -- Brownian motion and the heat equation -- Existence of optimal sequences -- Proof of the main theorem -- The basic particle model and its hydrodynamic limit -- Part II Variants of the basic model -- Introduction to Part II -- Independent walkers with current reservoirs -- Beyond diffusive scaling -- Other models.

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.

ISBN: 9783319333700

Standard No.: 10.1007/978-3-319-33370-0doiSubjects--Topical Terms:

404428
Boundary value problems.

LC Class. No.: QA379

Dewey Class. No.: 515.353

Free boundary problems in PDEs and particle systems[electronic resource] /
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