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- catalog abstract "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 Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger 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.".
- catalog contributor b11148257.
- catalog contributor b11148258.
- catalog created "c1998.".
- catalog date "1998".
- catalog date "c1998.".
- catalog dateCopyrighted "c1998.".
- catalog description "Includes bibliographical references (p. 186-190) and index.".
- catalog description "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 Schrödinger equations, followed by a careful treatment of the inverse scattering theory for the Schrödinger 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.".
- catalog extent "vi, 190 p. :".
- catalog hasFormat "Scaling limits and models in physical processes.".
- catalog identifier "0817659854 (Boston : softcover : alk. paper)".
- catalog identifier "3764359854 (Basel : softcover : alk. paper)".
- catalog isFormatOf "Scaling limits and models in physical processes.".
- catalog isPartOf "DMV Seminar ; Bd. 28".
- catalog issued "1998".
- catalog issued "c1998.".
- catalog language "eng".
- catalog publisher "Basel ; Boston : Birkhäuser Verlag,".
- catalog relation "Scaling limits and models in physical processes.".
- catalog subject "533/.7 21".
- catalog subject "Mathematics.".
- catalog subject "QC174.85.S34 C47 1998".
- catalog subject "Scaling laws (Statistical physics)".
- catalog subject "Transport theory.".
- catalog title "Scaling limits and models in physical processes / Carlo Cercignani, David H. Sattinger.".
- catalog type "text".