Active Particles, Volume 2 (eBook)

Advances in Theory, Models, and Applications
Artikelnummer: 978-3-030-20297-2
Einband: PDF
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This volume compiles eight recent surveys that present state-of-the-art results in the field of active matter at different scales, modeled by agent-based, kinetic, and hydrodynamic descriptions. Following the previously published volume, these chapters were written by leading experts in the field and accurately reflect the diversity of subject matter in theory and applications. Several mathematical tools are employed throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The book also covers a wide range of applications, including:

  • Biological network formation
  • Social systems
  • Control theory of sparse systems
  • Dynamics of swarming and flocking systems
  • Stochastic particles and mean field approximations

Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

This volume compiles eight recent surveys that present state-of-the-art results in the field of active matter at different scales, modeled by agent-based, kinetic, and hydrodynamic descriptions. Following the previously published volume, these chapters were written by leading experts in the field and accurately reflect the diversity of subject matter in theory and applications. Several mathematical tools are employed throughout the volume, including analysis of nonlinear PDEs, network theory, mean field approximations, control theory, and flocking analysis. The book also covers a wide range of applications, including:

  • Biological network formation
  • Social systems
  • Control theory of sparse systems
  • Dynamics of swarming and flocking systems
  • Stochastic particles and mean field approximations

Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource.

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VerlagSpringer Nature Switzerland
EinbandPDF
Erscheinungsjahr2019
Seitenangabe274 S.
AusgabekennzeichenEnglisch
AbbildungenVII, 274 p. 67 illus., 64 illus. in color.
Masse15'804 KB
Auflage19001 A. 1st ed. 2019
PlattformPDF
ReiheModeling and Simulation in Science, Engineering and Technology; Mathematics and Statistics; Mathematics and Statistics
AutorBellomo, Nicola (Hrsg.) / Degond, Pierre (Hrsg.) / Tadmor, Eitan (Hrsg.)

Alle Bände der Reihe "Modeling and Simulation in Science, Engineering and Technology; Mathematics and Statistics; Mathematics and Statistics (R0)"

Über den Autor Nicola (Hrsg.) Bellomo

?Nicola Bellomo is distinguished professor at the University of Granada and professor emeritus at the Polytechnic University of Torino. He started his career in 1980 when he was called to cover the chair of mathematical physics and applied mathematics due to his scientific achievements on the mathematical theory of the Boltzmann equation and of stochastic differential equations. Subsequently, he moved his scientific interests to the study of living systems, becoming one of the pioneers of the development of active particles methods to the modeling of large systems of self-propelled interacting entities. He is author of two books published by Birkhaüser devoted to this topic. NB delivered, in 2009, the prestigious Shank Lecture at the Vanderbilt University on the modeling of immune competition. He was awarded the "Third Level of Honor" for scientific merits by the President of the Italian Republic.Livio Gibelli is a Senior Lecturer inMechanical Engineering at The University of Edinburgh. He received his Ph.D. in Applied Mathematics with distinction from the Politecnico di Milano. Prior to joining the University of Edinburgh in 2018, he held research positions at the University of Warwick, the Politecnico di Milano, the Politecnico di Torino, and the University of British Columbia. He has published over 50 peer-reviewed papers, edited three books, and secured over £2 million in research funding. He currently co-leads a research group of 5 PhD students and 3 post-doctoral researchers. His main research interests include mesoscopic modelling of crowd behaviour, non-equilibrium multiphase flows, continuum descriptions of rarefied gas dynamics and numerical methods for kinetic equations.

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