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Hydrodynamic limits of the Boltzmann equation

The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation...

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Detalles Bibliográficos
Autor principal: Saint-Raymond, Laure
Lenguaje:eng
Publicado: Springer 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-540-92847-8
http://cds.cern.ch/record/1691739
Descripción
Sumario:The aim of this book is to present some mathematical results describing the transition from kinetic theory, and, more precisely, from the Boltzmann equation for perfect gases to hydrodynamics. Different fluid asymptotics will be investigated, starting always from solutions of the Boltzmann equation which are only assumed to satisfy the estimates coming from physics, namely some bounds on mass, energy and entropy.