Dispersive Transport Equations and Multiscale Models

IMA Volumes 135: Transport in Transition Regimes and 136: Dispersive Transport Equations and Multiscale Models focus on the modeling of processes for which transport is one of the most complicated components. This includes processes that involve a wdie ra

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Institute for Mathematics and its Applications (IMA) The Institute for Mathematics and its Applications was established by a grant from the National Science Foundation to the University of Minnesota in 1982. The primary mission of the IMA is to foster research of a truly interdisciplinary nature, establishing links between mathematics of the highest caliber and important scientific and technological problems from other disciplines and industry. To this end, the IMA organizes a wide variety of programs, ranging from short intense workshops in areas of exceptional interest and opportunity to extensive thematic programs lasting a year. IMA Volumes are used to communicate results of these programs that we believe are of particular value to the broader scientific community. The full list of IMA books can be found at the Web site of the Inst itute for Mathematics and its Applications: http://www.ima.umn.edu/springer/full-list-volumes.html. Douglas N. Arnold, Director of the IMA

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1982-1983 Statistical and Continuum Approaches to Phase Transition 1983-1984 Mathematical Models for the Economics of Decentralized 1984-1985 1985-1986 1986-1987 1987-1988 1988-1989 1989-1990 1990-1991 1991-1992 1992-1993 1993-1994 1994-1995 1995-1996 1996-1997 1997-1998 1998-1999

Resource Allocation Continuum Physics and Partial Differential Equations Stochastic Differential Equations and Their Applications Scientific Computation Applied Combinatorics Nonlinear Waves Dynamical Systems and Their Applications Phase Transitions and Free Boundaries Applied Linear Algebra Control Theory and its Applications Emerging Applications of Probability Waves and Scattering Mathematical Methods in Material Science Mathematics of High Performance Computing Emerging Applications of Dynamical Systems Mathematics in Biology

Continued at the back

Naoufel Ben Abdallah Anton Amold Pierre Degond Irene M. Gamba Robert T. Glassey C. David Levermore Christian Ringhofer Editors

Dispersive Transport Equations and Multiscale Models

With 113 Illustrations

Springer

Naoufel Ben AbdaIlah

Anton Amold

Pierre Degond

Laboratoire MIP Universit~ Paul Sabatier Toulouse Cedex 4, 31062 France [email protected]

Angewandte Mathematik Universitlit des Saarlandes Saarbrucken, D-66041 Germany [email protected]

Laboratoire MIP Universj~ Paul Sabatier Toulouse Cedex 4, 31062 France [email protected]

lrene M. Gamba

Robert T. Glassey

C. David Levennore

Department of Mathematics University of Texas at Austin Austin, TX 78712 USA [email protected]

Department of Mathematics Indiana University Bloomington, IN 47405-5701 USA [email protected]

Christian Ringhofer

Series Editors: Douglas N. Amold Fadil Santosa

Department of Mathematics Arizona State University Tempe, AZ 85287 USA [email protected]

CSCAMM University of Maryland College Parlc, MD 207424015 USA [email protected]

Institute for Mathematics and its Applications University of Minnesota Minneapolis, MN 55455 USA http://www.ima.umn