Aspects of Boundary Problems in Analysis and Geometry

2004
ISBN: 978-3-7643-7069-5
Verlag: Springer

Buch, Englisch, 564 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1027 g

Reihe: Advances in Partial Differential Equations

Boundary problems constitute an essential field of common mathematical interest. The intention of this volume is to highlight several analytic and geometric aspects of boundary problems with special emphasis on their interplay. It includes surveys on classical topics presented from a modern perspective as well as reports on current research. The collection splits into two related groups: - analysis and geometry of geometric operators and their index theory- elliptic theory of boundary value problems and the Shapiro-Lopatinsky condition

Zielgruppe

Research

Autoren/Hrsg.

Gil, Juan

Witt, Ingo

Krainer, Thomas

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
• Mathematik | Informatik Mathematik Geometrie Nicht-Euklidische Geometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
• Mathematik | Informatik Mathematik Topologie Analytische Topologie
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

I Rarefied Gases.- 1. Macroscopic limits of the Boltzmann equation: a review.- 2. Moment equations for charged particles: global existence results.- 3. Monte-Carlo methods for the Boltzmann equation.- 4. Accurate numerical methods for the Boltzmann equation.- 5. Finite-difference methods for the Boltzmann equation for binary gas mixtures.- II Applications.- 6. Plasma kinetic models: the Fokker-Planck-Landau equation.- 7. On multipole approximations of the Fokker-Planck-Landau operator.- 8. Traffic flow: models and numerics.- 9. Modelling and numerical methods for granular gases.- 10. Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation.- 11. On coalescence equations and related models.