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Hydrodynamic Limits and Related Topics
 
Edited by: Shui Feng McMaster University, Hamilton, ON, Canada
Anna T. Lawniczak University of Guelph, Guelph, ON, Canada
S. R. S. Varadhan New York University-Courant Institute of Mathematical Sciences, New York, NY
A co-publication of the AMS and Fields Institute
Hydrodynamic Limits and Related Topics
Hardcover ISBN:  978-0-8218-1993-7
Product Code:  FIC/27
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $54.40
eBook ISBN:  978-1-4704-3051-1
Product Code:  FIC/27.E
List Price: $63.00
MAA Member Price: $56.70
AMS Member Price: $50.40
Hardcover ISBN:  978-0-8218-1993-7
eBook: ISBN:  978-1-4704-3051-1
Product Code:  FIC/27.B
List Price: $131.00 $99.50
MAA Member Price: $117.90 $89.55
AMS Member Price: $104.80 $79.60
Hydrodynamic Limits and Related Topics
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Hydrodynamic Limits and Related Topics
Edited by: Shui Feng McMaster University, Hamilton, ON, Canada
Anna T. Lawniczak University of Guelph, Guelph, ON, Canada
S. R. S. Varadhan New York University-Courant Institute of Mathematical Sciences, New York, NY
A co-publication of the AMS and Fields Institute
Hardcover ISBN:  978-0-8218-1993-7
Product Code:  FIC/27
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $54.40
eBook ISBN:  978-1-4704-3051-1
Product Code:  FIC/27.E
List Price: $63.00
MAA Member Price: $56.70
AMS Member Price: $50.40
Hardcover ISBN:  978-0-8218-1993-7
eBook ISBN:  978-1-4704-3051-1
Product Code:  FIC/27.B
List Price: $131.00 $99.50
MAA Member Price: $117.90 $89.55
AMS Member Price: $104.80 $79.60
  • Book Details
     
     
    Fields Institute Communications
    Volume: 272000; 141 pp
    MSC: Primary 60; 82; Secondary 35; 37; 68; 76;

    This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.

    Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

    Readership

    Graduate students and research mathematicians interested in interacting particle systems, hydrodynamic limits, and statistical mechanics.

  • Table of Contents
     
     
    • Part 1
    • S. Varadhan — Lectures on hydrodynamic scaling
    • Part 2
    • J. Carrillo — On a 1-d granular media immersed in a fluid
    • Henryk Fukś — A class of cellular automata equivalent to deterministic particle systems
    • T. Funaki — Recent results on the Ginzburg-Landau $\nabla \phi $ interface model
    • Ilie Grigorescu — Large scale behavior of a system of interacting diffusions
    • Reinhard Illner — Stellar dynamics and plasma physics with corrected potentials: Vlasov, Manev, Boltzmann, Smoluchowski
    • Jeremy Quastel — Free boundary problem and hydrodynamic limit
    • Timo Seppäläinen — A variational coupling for a totally asymmetric exclusion process with long jumps but no passing
    • Horug-Tzer Yau — Quantum mechanics, linear Boltzmann equation and renormalization
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 272000; 141 pp
MSC: Primary 60; 82; Secondary 35; 37; 68; 76;

This book presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). The first part of the book contains the notes from the mini-course given by Professor S. R. S. Varadhan. The second part contains research articles reviewing the diverse progress in the study of hydrodynamic limits and related areas. This book offers a comprehensive introduction to the theory and its techniques, including entropy and relative entropy methods, large deviation estimates, and techniques in nongradient systems. This book, especially the lectures of Part I, could be used as a text for an advanced graduate course in hydrodynamic limits and interacting particle systems.

Titles in this series are co-published with the Fields Institute for Research in Mathematical Sciences (Toronto, Ontario, Canada).

Readership

Graduate students and research mathematicians interested in interacting particle systems, hydrodynamic limits, and statistical mechanics.

  • Part 1
  • S. Varadhan — Lectures on hydrodynamic scaling
  • Part 2
  • J. Carrillo — On a 1-d granular media immersed in a fluid
  • Henryk Fukś — A class of cellular automata equivalent to deterministic particle systems
  • T. Funaki — Recent results on the Ginzburg-Landau $\nabla \phi $ interface model
  • Ilie Grigorescu — Large scale behavior of a system of interacting diffusions
  • Reinhard Illner — Stellar dynamics and plasma physics with corrected potentials: Vlasov, Manev, Boltzmann, Smoluchowski
  • Jeremy Quastel — Free boundary problem and hydrodynamic limit
  • Timo Seppäläinen — A variational coupling for a totally asymmetric exclusion process with long jumps but no passing
  • Horug-Tzer Yau — Quantum mechanics, linear Boltzmann equation and renormalization
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.