Benoit Perthame's Books

Advances In Kinetic Theory And Computing : Selected Papers

By: Benoit Perthame

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Advances In Kinetic Theory And Computing : Selected Papers

By: Benoit Perthame

This selection of 8 papers discusses “Equations of Kinetic Physics” with emphasis on analysis, modelling and computing. The first 3 papers are on numerical methods for Vlasov-Poisson and Vlasov-Maxwell Equations — Comparison between Particles and Eulerian Methods (G Manfredi and M R Feix), Computing BGK Instability with Eulerian Codes (M R Feix, Pertrand & A Ghieco) and Coupling Particles and Eulerian Methods (S Mas-Gallic and P A Raviart) — Followed by a survey of kinetic and macroscopic models for semiconductor devices — Boltzmann Equation, Drift-Diffusion Models (F Poupaud). In addition, there are 2 papers on the modelling and analysis of singular perturbation problems arising in plasma physics — Derivation of the Child-Lagmuyr Emission Laws (P Degond) and Euler Models with Small Pressure Terms (F Bouchut) — followed by two papers on the analysis and numerical analysis of the Boltzmann equations — Symmetry Properties in the Polynomials Arising in Chapman-Enskog Expansion (L Desvillettes and F Golse) and A General Introduction to Computing the Boltzmann Equations with Random Particle Methods (B Perthame).

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Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

9814502332

ISBN 13

9789814502337

Mathematical Geophysics

An introduction to rotating fluids and the Navier-Stokes equations

By: Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier

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Mathematical Geophysics

An introduction to rotating fluids and the Navier-Stokes equations

By: Jean-Yves Chemin,Benoit Desjardins,Isabelle Gallagher,Emmanuel Grenier

Aimed at graduate students, researchers and academics in mathematics, engineering, oceanography, meteorology and mechanics, this text provides a detailed introduction to the physical theory of rotating fluids, a significant part of geophysical fluid dynamics. The text is divided into four parts, with the first part providing the physical background of the geophysical models to be analysed. Part II is devoted to a self contained proof of the existence of weak (or strong) solutions to the incompressible Navier-Stokes equations. Part III deals with the rapidly rotating Navier-Stokes equations, first in the whole space, where dispersion effects are considered. The case where the domain has periodic boundary conditions is then analysed, and finally rotating Navier-Stokes equations between two plates are studied, both in the case of periodic horizontal coordinates and those in R2. In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed. The boundary layers which appear near vertical walls are presented and formally linked with the classical Prandlt equations. Finally spherical layers are introduced, whose study is completely open.

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Page Count

264

Publisher

Clarendon Press

Published Date

ISBN 10

019151389X

ISBN 13

9780191513893

Advances In Kinetic Theory And Computing : Selected Papers

By: Benoit Perthame

Write a review Read reviews Take a Quiz Solve Book Puzzle

Advances In Kinetic Theory And Computing : Selected Papers

By: Benoit Perthame

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

228

Publisher

World Scientific

Published Date

ISBN 10

9814502332

ISBN 13

9789814502337

Book's by Benoit Perthame

Advances In Kinetic Theory And Computing : Selected Papers

Advances In Kinetic Theory And Computing : Selected Papers

Mathematical Geophysics

Mathematical Geophysics

Advances In Kinetic Theory And Computing : Selected Papers

Advances In Kinetic Theory And Computing : Selected Papers

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