Description: Free Boundary Problems in PDEs and Particle Systems Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Gioia Carinci, Anna De Masi, Cristian Giardina, Errico Presutti Format: Paperback Publisher: Springer International Publishing AG, Switzerland Imprint: Springer International Publishing AG ISBN-13: 9783319333694, 978-3319333694 Synopsis In this volume a theory for models of transport in the presence of a free boundary is [url] 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 [url] 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 [url] 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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Book Title: Free Boundary Problems in PDEs and Particle Systems
Subject Area: Mechanical Engineering
Item Height: 235 mm
Item Width: 155 mm
Series: Springerbriefs in Mathematical Physics
Author: Anna De Masi, Errico Presutti, Gioia Carinci, Cristian Giardina
Publication Name: Free Boundary Problems in Pdes and Particle Systems
Format: Paperback
Language: English
Publisher: Springer International Publishing A&G
Subject: Mathematics, Physics
Publication Year: 2016
Type: Textbook
Item Weight: 1942 g
Number of Pages: 110 Pages
