Hydrodynamic Limits of the Boltzmann Equation: Lecture Notes in Mathematics, cartea 1971
Autor Laure Saint-Raymonden Limba Engleză Paperback – 30 mar 2009
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.
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Specificații
ISBN-13: 9783540928461
ISBN-10: 3540928464
Pagini: 208
Ilustrații: XII, 194 p. 9 illus.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.3 kg
Ediția:2009
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
ISBN-10: 3540928464
Pagini: 208
Ilustrații: XII, 194 p. 9 illus.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.3 kg
Ediția:2009
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Lecture Notes in Mathematics
Locul publicării:Berlin, Heidelberg, Germany
Public țintă
ResearchCuprins
The Boltzmann equation and its formal hydrodynamic limits.- Mathematical tools for the derivation of hydrodynamic limits.- The incompressible Navier-Stokes limit.- The incompressible Euler limit.- The compressible Euler limit.
Recenzii
From the reviews:
“The problems of hydrodynamic limits for the Boltzmann equation are discussing in the six chapters book. General results are based on the Boltzmann equation and are considering the transition from kinetic theory to hydrodynamic equations. … This book may be useful for advanced graduate students and for scientists who are interesting on mathematical problems of the statistical mechanics and rarefied gases.” (Oleg A. Sinkevich, Zentralblatt MATH, Vol. 1171, 2009)
“The main topic of the book is the presentation of mathematical results for the hydrodynamic limits of the Boltzmann equation in the kinetic theory of gases. … The book concludes with appendix containing theorems and concepts which aid in the reading of the book. … The book is written in a clear comprehensive style with detailed proofs … . This book is accessible to researchers, lecturers and graduate students in the fields of applied mathematics, mathematical physics and fluid mechanics.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 168, 2011)
“The problems of hydrodynamic limits for the Boltzmann equation are discussing in the six chapters book. General results are based on the Boltzmann equation and are considering the transition from kinetic theory to hydrodynamic equations. … This book may be useful for advanced graduate students and for scientists who are interesting on mathematical problems of the statistical mechanics and rarefied gases.” (Oleg A. Sinkevich, Zentralblatt MATH, Vol. 1171, 2009)
“The main topic of the book is the presentation of mathematical results for the hydrodynamic limits of the Boltzmann equation in the kinetic theory of gases. … The book concludes with appendix containing theorems and concepts which aid in the reading of the book. … The book is written in a clear comprehensive style with detailed proofs … . This book is accessible to researchers, lecturers and graduate students in the fields of applied mathematics, mathematical physics and fluid mechanics.” (Andrzej Icha, Pure and Applied Geophysics, Vol. 168, 2011)
Textul de pe ultima copertă
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.
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.
Caracteristici
Includes supplementary material: sn.pub/extras