Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Selections Reprinted from Mathematical Reviews

Review information:
Journal: Bull. Amer. Math. Soc. 56 (2019), 119-136
Published electronically: October 30, 2018
Full text: PDF


MR: 1014927 (90k:82045)
R. J. DiPerna and P.-L. Lions
On the Cauchy problem for Boltzmann equations: global existence and weak stability.
Annals of Mathematics. Second Series 130, (1989), no. 2, 321-366
Reviewed by: Seiji Ukai

MR: 1115587
Claude Bardos, François Golse and David Levermore
Fluid dynamic limits of kinetic equations. I. Formal derivations.
Journal of Statistical Physics 63, (1991), no. 1-2, 323-344
Reviewed by: Andrzej Fuliński

MR: 1213991
Claude Bardos, François Golse and C. David Levermore
Fluid dynamic limits of kinetic equations. II. Convergence proofs for the Boltzmann equation.
Communications on Pure and Applied Mathematics 46, (1993), no. 5, 667-753
Reviewed by: Andrzej Fuliński

MR: 1340046
Jean-Yves Chemin
Fluides parfaits incompressibles.
Astérisque No. 230, (1995), 177 pp
Reviewed by: Denis Serre

MR: 1755865 (2002b:76028)
Herbert Amann
On the strong solvability of the Navier-Stokes equations.
Journal of Mathematical Fluid Mechanics 2, (2000), no. 1, 16-98
Reviewed by: Mariarosaria Padula

MR: 1842343 (2002m:76085)
P.-L. Lions and N. Masmoudi
From the Boltzmann equations to the equations of incompressible fluid mechanics. I, II.
Archive for Rational Mechanics and Analysis 158, (2001), no. 3, 173-193, 195-211
Reviewed by: Carlo Cercignani

MR: 2025302 (2005f:76003)
François Golse and Laure Saint-Raymond
The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels.
Inventiones Mathematicae 155, (2004), no. 1, 81-161
Reviewed by: Cédric Villani

MR: 2407976 (2010h:82086)
Fraydoun Rezakhanlou and Cédric Villani
Entropy methods for the Boltzmann equation.
Lecture Notes in Mathematics, 1916, Springer, Berlin, 2008, xii+107 pp., ISBN 978-3-540-73704-9, $44.95
Lectures from a Special Semester on Hydrodynamic Limits held at the Université de Paris VI, Paris, 2001
Reviewed by: Clément Mouhot

MR: 2683475 (2012f:82079)
Laure Saint-Raymond
Hydrodynamic limits of the Boltzmann equation.
Lecture Notes in Mathematics, 1971, Springer-Verlag, Berlin, 2009, xii+188 pp., ISBN 978-3-540-92846-1, $59.95
Reviewed by: Nader Masmoudi

MR: 3157048
Isabelle Gallagher, Laure Saint-Raymond and Benjamin Texier
From Newton to Boltzmann: hard spheres and short-range potentials.
Zurich Lectures in Advanced Mathematics, European Mathematical Society (EMS), Zürich, 2013, xii+137 pp., ISBN 978-3-03719-129-3
Reviewed by: Cecil Pompiliu Grünfeld

Journal: Bull. Amer. Math. Soc. 56 (2019), 119-136
Article copyright: © Copyright 2018 American Mathematical Society
American Mathematical Society