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| Hardcover ISBN: | 978-0-8218-4211-9 |
| Product Code: | PSAPM/65 |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-9280-0 |
| Product Code: | PSAPM/65.E |
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| Hardcover ISBN: | 978-0-8218-4211-9 |
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Book DetailsProceedings of Symposia in Applied MathematicsVolume: 65; 2007; 217 ppMSC: Primary 35; 37; 44; 70; 74; 76; 82; 83
The articles of this book are written by leading experts in partial differential equations and their applications, who present overviews here of recent advances in this broad area of mathematics. The formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, effects due to entropy in hyperbolic conservation laws, the Navier–Stokes and other limits of the Boltzmann equation, occupancy times for Brownian motion in a two dimensional wedge, and new methods of analyzing and solving integrable systems are some of this volume's subjects. The reader will find an exposition of important advances without a lot of technicalities and with an emphasis on the basic ideas of this field.
ReadershipGraduate students and research mathematicians interested in partial differential equations.
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Table of Contents
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Articles
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Sergiu Klainerman — Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity [ MR 2381870 ]
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Demetrios Christodoulou — The formation of shocks in 3-dimensional fluids [ MR 2381871 ]
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F. Alberto Grünbaum and Caroline McGrouther — Occupation time for two dimensional Brownian motion in a wedge [ MR 2381872 ]
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Robert Buckingham, Alexander Tovbis, Stephanos Venakides and Xin Zhou — The semiclassical focusing nonlinear Schrödinger equation [ MR 2381873 ]
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Yan Yan Li — An extension to a classical theorem of Liouville and applications [ MR 2381874 ]
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A. S. Fokas — From Green to Lax via Fourier [ MR 2381875 ]
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Javier Jiménez — Untangling wall turbulence through direct simulations [ MR 2381876 ]
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Luis L. Bonilla and Ana Carpio — Defects, singularities and waves [ MR 2381877 ]
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C. David Levermore — Fluid dynamics from Boltzmann equations [ MR 2381878 ]
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François Golse — From the Boltzmann equation to the incompressible Navier-Stokes equations [ MR 2381879 ]
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C. M. Dafermos — Hyperbolic conservation laws with involutions and contingent entropies [ MR 2381880 ]
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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The articles of this book are written by leading experts in partial differential equations and their applications, who present overviews here of recent advances in this broad area of mathematics. The formation of shocks in fluids, modern numerical computation of turbulence, the breaking of the Einstein equations in a vacuum, the dynamics of defects in crystals, effects due to entropy in hyperbolic conservation laws, the Navier–Stokes and other limits of the Boltzmann equation, occupancy times for Brownian motion in a two dimensional wedge, and new methods of analyzing and solving integrable systems are some of this volume's subjects. The reader will find an exposition of important advances without a lot of technicalities and with an emphasis on the basic ideas of this field.
Graduate students and research mathematicians interested in partial differential equations.
-
Articles
-
Sergiu Klainerman — Null hypersurfaces with finite curvature flux and a breakdown criterion in general relativity [ MR 2381870 ]
-
Demetrios Christodoulou — The formation of shocks in 3-dimensional fluids [ MR 2381871 ]
-
F. Alberto Grünbaum and Caroline McGrouther — Occupation time for two dimensional Brownian motion in a wedge [ MR 2381872 ]
-
Robert Buckingham, Alexander Tovbis, Stephanos Venakides and Xin Zhou — The semiclassical focusing nonlinear Schrödinger equation [ MR 2381873 ]
-
Yan Yan Li — An extension to a classical theorem of Liouville and applications [ MR 2381874 ]
-
A. S. Fokas — From Green to Lax via Fourier [ MR 2381875 ]
-
Javier Jiménez — Untangling wall turbulence through direct simulations [ MR 2381876 ]
-
Luis L. Bonilla and Ana Carpio — Defects, singularities and waves [ MR 2381877 ]
-
C. David Levermore — Fluid dynamics from Boltzmann equations [ MR 2381878 ]
-
François Golse — From the Boltzmann equation to the incompressible Navier-Stokes equations [ MR 2381879 ]
-
C. M. Dafermos — Hyperbolic conservation laws with involutions and contingent entropies [ MR 2381880 ]
