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Scaling Limits and Models in Physical Processes

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Scaling Limits and Models in Physical Processes Cover

 

Synopses & Reviews

Publisher Comments:

This is an introductory text, in two parts, on scaling limits and modelling in equations of mathematical physics. The first part is concerned with basic concepts of the kinetic theory of gases which is not only important in its own right but also as a prototype of a mathematical construct central to the theory of non-equilibrium phenomena in large systems. It also features a very readable historic survey of the field. The second part dwells on the role of integrable systems for modelling weakly nonlinear equations which contain the effects of both dispersion and nonlinearity. Starting with a historical introduction to the subject and a description of numerical techniques, it proceeds to a discussion of the derivation of the Korteweg de Vries and nonlinear Schrdinger equations, followed by a careful treatment of the inverse scattering theory for the Schrdinger operator. The book provides an up-to-date and detailed overview to this very active area of research and is intended as an accessible introduction for non-specialists and graduate students in mathematics, physics and engineering.

Product Details

ISBN:
3330000246388
Publisher:
Birkhäuser Verlag
Subject:
Transport theory
Author:
Sattinger, David H.
Author:
Cercignani, Carlo
Subject:
Scaling laws (Statistical physics)
Subject:
Mathematical Physics
Subject:
General
Subject:
General Mathematics
Subject:
Applied mathematics
Subject:
Physics
Subject:
Mathematics - General
Subject:
Physics-Math
Subject:
main_subject
Subject:
all_subjects
Publication Date:
1998
Binding:
ELECTRONIC
Language:
English
Pages:
190

Related Subjects

» Health and Self-Help » Health and Medicine » General
» Reference » Science Reference » General
» Science and Mathematics » Mathematics » General
» Science and Mathematics » Physics » Math

Scaling Limits and Models in Physical Processes
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Product details 190 pages Birkhäuser Verlag - English 3330000246388 Reviews:
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