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Free Boundary Problems in PDEs and Particle Systems

Name: Free Boundary Problems in PDEs and Particle Systems
Brand: Springer International Publishing AG
SKU: 9783319333694
Price: 52.77 EUR
Availability: InStock

Автор: Errico Presutti

Език:

Корици: С меки корици

Издател: Springer International Publishing AG

Наличност: Външен склад

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52.77 € 103.22 лв

In this volume a theory for models of transport in the presence of a free boundary is developed. Mac...

Информация за книгата

Автор

Errico Presutti

Език

Английски език

Корици

Книга - С меки корици

Издадена

2016

страници

110

EAN

9783319333694

ISBN

3319333690

Enbook ID

02972352

Издател

Springer International Publishing AG

Теглоt

1942

Размери

155 x 235 x 5

Пълно 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.