Claude Le Bris's Books

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

By: Jean-Frédéric Gerbeau,Claude Le Bris,Tony Lelièvre

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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

By: Jean-Frédéric Gerbeau,Claude Le Bris,Tony Lelièvre

This comprehensive text focuses on mathematical and numerical techniques for the simulation of magnetohydrodynamic phenomena, with an emphasis laid on the magnetohydrodynamics of liquid metals, and on a prototypical industrial application. Aimed at research mathematicians, engineers, and physicists, as well as those working in industry, and starting from a good understanding of the physics at play, the approach is a highly mathematical one, based on the rigorous analysis of the equations at hand, and a solid numerical analysis to found the simulations. At each stage of the exposition, examples of numerical simulations are provided, first on academic test cases to illustrate the approach, next on benchmarks well documented in the professional literature, and finally, whenever possible, on real industrial cases.

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Page Count

324

Publisher

Clarendon Press

Published Date

ISBN 10

0191513741

ISBN 13

9780191513749

Homogenization Theory for Multiscale Problems

An introduction

By: Xavier Blanc,Claude Le Bris

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Homogenization Theory for Multiscale Problems

An introduction

By: Xavier Blanc,Claude Le Bris

The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media. The presentation encompasses both deterministic and probabilistic settings. It also mixes the most abstract aspects with some more practical aspects regarding the numerical approaches necessary to simulate such multiscale problems. Based on lecture courses of the authors, the book is suitable for graduate students of mathematics and engineering.

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Page Count

469

Publisher

Springer Nature

Published Date

ISBN 10

3031218337

ISBN 13

9783031218330

Societies and Nature in the Sahel

By: Philippe Lavigne Delville,Emmanuel Gregoire,Pierre Janin,Jean Koechlin,Claude Raynaut

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Societies and Nature in the Sahel

By: Philippe Lavigne Delville,Emmanuel Gregoire,Pierre Janin,Jean Koechlin,Claude Raynaut

This book explores the links between environment and social systems in the Sahel, integrating ecological, demographic, economic, technical, social and cultural factors. Examining the conditions for land occupation and natural resource use, it offers a conceptual and practical approach to social organization and environmental management.

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Page Count

428

Publisher

Routledge

Published Date

ISBN 10

1134769059

ISBN 13

9781134769056

Quantum Control: Mathematical and Numerical Challenges

Mathematical and Numerical Challenges : CRM Workshop, October 6-11, 2002, Montréal, Canada

By: André D. Bandrauk,Michel C. Delfour,Claude Le Bris

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Quantum Control: Mathematical and Numerical Challenges

Mathematical and Numerical Challenges : CRM Workshop, October 6-11, 2002, Montréal, Canada

By: André D. Bandrauk,Michel C. Delfour,Claude Le Bris

It brought together mathematicians, theoretical chemists, and physicists working in the area of control and optimization of systems to address the outstanding numerical and mathematical problems.

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Page Count

228

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821833308

ISBN 13

9780821833308

Parabolic Equations with Irregular Data and Related Issues

Applications to Stochastic Differential Equations

By: Claude Le Bris,Pierre-Louis Lions

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Parabolic Equations with Irregular Data and Related Issues

Applications to Stochastic Differential Equations

By: Claude Le Bris,Pierre-Louis Lions

This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation.

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Page Count

242

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110633140

ISBN 13

9783110633146

Encyclopedia of Norse and Germanic Folklore, Mythology, and Magic

By: Claude Lecouteux

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Encyclopedia of Norse and Germanic Folklore, Mythology, and Magic

By: Claude Lecouteux

A thorough reference to the many deities, magical beings, mythical places, and ancient customs of the Norse and Germanic regions of Europe • Explores the legends and origins of well-known gods and figures such as Odin, Thor, Krampus, and the Valkyries, as well as a broad range of magical beings such as the Elf King, the Lorelei, the Perchten, dwarves, trolls, and giants • Draws upon a wealth of well-known and rare sources, such as the Poetic Edda and The Deeds of the Danes by Saxo Grammaticus • Examines folktales, myths, and magical beliefs from Germany, Austria, Switzerland, Denmark, Finland, Sweden, Norway, Iceland, and England The legends of the Norse and Germanic regions of Europe--spanning from Germany and Austria across Scandinavia to Iceland and England--include a broad range of mythical characters and places, from Odin and Thor, to berserkers and Valhalla, to the Valkyries and Krampus. In this encyclopedia, Claude Lecouteux explores the origins, connections, and tales behind many gods, goddesses, magical beings, rituals, folk customs, and mythical places of Norse and Germanic tradition. More than a reference to the Aesir and the Vanir pantheons, this encyclopedia draws upon a wealth of well-known and rare sources, such as the Poetic Edda, the Saga of Ynglingar by Snorri Sturluson, and The Deeds of the Danes by Saxo Grammaticus. Beyond the famous and infamous Norse gods and goddesses, Lecouteux also provides information on lesser-known figures from ancient Germanic pagan tradition such as the Elf King, the Lorelei, the Perchten, land spirits, fairies, dwarves, trolls, goblins, bogeymen, giants, and many other beings who roam the wild, as well as lengthy articles on well-known figures and events such as Siegfried (Sigurd in Norse) and Ragnarök. The author describes the worship of the elements and trees, details many magical rituals, and shares wild folktales from ancient Europe, such as the strange adventure of Peter Schlemihl and the tale of the Cursed Huntsman. He also dispels the false beliefs that have arisen from the Nazi hijacking of Germanic mythology and from its longtime suppression by Christianity. Complete with rare illustrations and information from obscure sources appearing for the first time in English, this detailed reference work represents an excellent resource for scholars and those seeking to reconnect to their pagan pasts and restore the old religion.

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Page Count

330

Publisher

Simon and Schuster

Published Date

ISBN 10

162055481X

ISBN 13

9781620554814

The Mathematical Theory of Thermodynamic Limits

Thomas-Fermi Type Models

By: Isabelle Catto,Claude Le Bris,Pierre-Louis Lions

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The Mathematical Theory of Thermodynamic Limits

Thomas-Fermi Type Models

By: Isabelle Catto,Claude Le Bris,Pierre-Louis Lions

The thermodynamic limit is a mathematical technique for modeling crystals or other macroscopic objects by considering them as infinite periodic arrays of molecules. The technique allows models in solid state physics to be derived directly from models in quantum chemistry. This book presents new results, many previously unpublished, for a large class of models and provides a survey of the mathematics of thermodynamic limit problems. The authors both work closely with Fields Medal-winner Pierre-Louis Lion, and the book will be a valuable tool for applied mathematicians and mathematical physicists studying nonlinear partial differential equations.

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Page Count

300

Publisher

Oxford University Press

Published Date

ISBN 10

0198501617

ISBN 13

9780198501619

Urban Planning Against Poverty

How to Think and Do Better Cities in the Global South

By: Jean-Claude Bolay

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Urban Planning Against Poverty

How to Think and Do Better Cities in the Global South

By: Jean-Claude Bolay

This open access book revisits the theoretical foundations of urban planning and the application of these concepts and methods in the context of Southern countries by examining several case studies from different regions of the world. For instance, the case of Koudougou, a medium-sized city in one of the poorest countries in the world, Burkina Faso, with a population of 115.000 inhabitants, allows us to understand concretely which and how these deficiencies are translated in an African urban context. In contrast, the case of Nueve de Julio, intermediate city of 50.000 dwellers in the pampa Argentina, addresses the new forms of spatial fragmentation and social exclusion linked with agro export and crisis of the international markets. Case studies are also included for cities in Asia and Latin America. Differences and similarities between cases allow us to foresee alternative models of urban planning better adapted to tackle poverty and find efficient ways for more inclusive cities in developing and emerging countries, interacting several dimensions linked with high rates of urbanization: territorial fragmentation; environmental contamination; social disparities and exclusion, informal economy and habitat, urban governance and democracy.

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Page Count

218

Publisher

Springer Nature

Published Date

ISBN 10

3030284190

ISBN 13

9783030284190

Use of Biomarkers for Environmental Quality Assessment

By: Jean-Claude Amiard,Thierry Caquet,Laurent Lagadic

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Use of Biomarkers for Environmental Quality Assessment

By: Jean-Claude Amiard,Thierry Caquet,Laurent Lagadic

This work is primarily designed for any person or organization in charge of assessment of the quality of natural resources and of pollution prevention.

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Page Count

353

Publisher

CRC Press

Published Date

ISBN 10

100044564X

ISBN 13

9781000445640

High-Dimensional Partial Differential Equations in Science and Engineering

By: André D. Bandrauk,Michel C. Delfour,Claude Le Bris

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High-Dimensional Partial Differential Equations in Science and Engineering

By: André D. Bandrauk,Michel C. Delfour,Claude Le Bris

High-dimensional spatio-temporal partial differential equations are a major challenge to scientific computing of the future. Up to now deemed prohibitive, they have recently become manageable by combining recent developments in numerical techniques, appropriate computer implementations, and the use of computers with parallel and even massively parallel architectures. This opens new perspectives in many fields of applications. Kinetic plasma physics equations, the many body Schrodinger equation, Dirac and Maxwell equations for molecular electronic structures and nuclear dynamic computations, options pricing equations in mathematical finance, as well as Fokker-Planck and fluid dynamics equations for complex fluids, are examples of equations that can now be handled. The objective of this volume is to bring together contributions by experts of international stature in that broad spectrum of areas to confront their approaches and possibly bring out common problem formulations and research directions in the numerical solutions of high-dimensional partial differential equations in various fields of science and engineering with special emphasis on chemistry and physics. Information for our distributors: Titles in this series are co-published with the Centre de Recherches Mathematiques.

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Page Count

210

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821838539

ISBN 13

9780821838532

Parabolic Equations with Irregular Data and Related Issues

Applications to Stochastic Differential Equations

By: Claude Le Bris,Pierre-Louis Lions

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Parabolic Equations with Irregular Data and Related Issues

Applications to Stochastic Differential Equations

By: Claude Le Bris,Pierre-Louis Lions

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Page Count

242

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110633140

ISBN 13

9783110633146

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

By: Jean-Frédéric Gerbeau,Claude Le Bris,Tony Lelièvre

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Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

By: Jean-Frédéric Gerbeau,Claude Le Bris,Tony Lelièvre

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Solve jigsaw puzzle

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Page Count

324

Publisher

Clarendon Press

Published Date

ISBN 10

0191513741

ISBN 13

9780191513749

Quantum Control: Mathematical and Numerical Challenges

Mathematical and Numerical Challenges : CRM Workshop, October 6-11, 2002, Montréal, Canada

By: André D. Bandrauk,Michel C. Delfour,Claude Le Bris

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Quantum Control: Mathematical and Numerical Challenges

Mathematical and Numerical Challenges : CRM Workshop, October 6-11, 2002, Montréal, Canada

By: André D. Bandrauk,Michel C. Delfour,Claude Le Bris

It brought together mathematicians, theoretical chemists, and physicists working in the area of control and optimization of systems to address the outstanding numerical and mathematical problems.

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Solve jigsaw puzzle

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Page Count

228

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821833308

ISBN 13

9780821833308

Book's by Claude Le Bris

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Homogenization Theory for Multiscale Problems

Homogenization Theory for Multiscale Problems

Societies and Nature in the Sahel

Societies and Nature in the Sahel

Quantum Control: Mathematical and Numerical Challenges

Quantum Control: Mathematical and Numerical Challenges

Parabolic Equations with Irregular Data and Related Issues

Parabolic Equations with Irregular Data and Related Issues

Encyclopedia of Norse and Germanic Folklore, Mythology, and Magic

Encyclopedia of Norse and Germanic Folklore, Mythology, and Magic

The Mathematical Theory of Thermodynamic Limits

The Mathematical Theory of Thermodynamic Limits

Urban Planning Against Poverty

Urban Planning Against Poverty

Use of Biomarkers for Environmental Quality Assessment

Use of Biomarkers for Environmental Quality Assessment

High-Dimensional Partial Differential Equations in Science and Engineering

High-Dimensional Partial Differential Equations in Science and Engineering

Parabolic Equations with Irregular Data and Related Issues

Parabolic Equations with Irregular Data and Related Issues

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Mathematical Methods for the Magnetohydrodynamics of Liquid Metals

Quantum Control: Mathematical and Numerical Challenges

Quantum Control: Mathematical and Numerical Challenges

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