Screen LibraryTrails in kinetic theory : foundational aspects and numerical methods /
In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social s...
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| Group Author: | ; ; ; |
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| Published: |
Springer,
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| Publisher Address: | Cham : |
| Publication Dates: | [2021] |
| Literature type: | Book |
| Language: | English |
| Series: |
SEMA SIMAI Springer series,
volume 25 |
| Subjects: | |
| Summary: |
In recent decades, kinetic theory - originally developed as a field of mathematical physics - has emerged as one of the most prominent fields of modern mathematics. In recent years, there has been an explosion of applications of kinetic theory to other areas of research, such as biology and social sciences. This book collects lecture notes and recent advances in the field of kinetic theory of lecturers and speakers of the School Trails in Kinetic Theory: Foundational Aspects and Numerical Methods hosted at Hausdorff Institute for Mathematics (HIM) of Bonn, Germany, 2019, during the Junior Trimester Program Kinetic Theory. Focusing on fundamental questions in both theoretical and numerical aspects, it also presents a broad view of related problems in socioeconomic sciences, pedestrian dynamics and traffic flow management. |
| Carrier Form: | xiv, 251 pages : illustrations (some color) ; 25 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: |
9783030671037 3030671038 |
| Index Number: | QA845 |
| CLC: | O313 |
| Call Number: | O313/T767 |
| Contents: | J.A. Carrillo et al., Recent Development In Kinetic Theory Of Granular Materials: Analysis And Numerical Methods -- R. Borsche and A. Klar, Asymptotic methods for kinetic and hyperbolic evolution equations on networks -- Marina A. Ferreira, Coagulation equations for aerosol dynamics -- F. Bourdin and B. Maury, Multibody and macroscopic impact laws: a Convex Analysis Standpoint -- L. Pareschi, An introduction to uncertainty quantification for kinetic equations and related problems -- M. Pulvirenti and S. Simonella, A brief introduction to the scaling limits and effective equations in kinetic theory -- G. Toscani, Statistical description of human addiction phenomena -- A. Tosin and M. Zanella, Boltzmann-type description with cutoff of Follow-the-Leader traffic models. |