| Document Type
|
:
|
BL
|
| Record Number
|
:
|
587049
|
| Doc. No
|
:
|
b416268
|
| Uniform Title
|
:
|
Hisenkei mondai.English
|
| Main Entry
|
:
|
Nishiura, Yasumasa,1950-
|
| Title & Author
|
:
|
Far-from-equilibrium dynamics /\ Yasumasa Nishiura ; translated by Kunimochi Sakamoto.
|
| Publication Statement
|
:
|
Providence, R.I. :: American Mathematical Society,, c2002.
|
| Series Statement
|
:
|
Translations of mathematical monographs,; v. 209
|
|
|
:
|
Iwanami series in modern mathematics
|
| Page. NO
|
:
|
xx, 311 p. :: ill. ;; 22 cm.
|
| ISBN
|
:
|
0821826255 (softcover : alk. paper)
|
|
|
:
|
: 9780821826256 (softcover : alk. paper)
|
| Bibliographies/Indexes
|
:
|
Includes bibliographical references (p. 291-308) and index.
|
| Contents
|
:
|
Separation and Unification of Scales -- Problem of Cumulative Term Type -- Problem of Transition Layer Type -- Very Slow Motion Manifolds and Hyperbolicity -- Renormalization Group Method -- Amplitude Equations -- Order Parameter -- Derivation of Amplitude Equations -- Validity of Amplitude Equation -- Attractivity of the Ginzburg-Landau Equation -- Stability of Stationary Periodic Solutions for the Swift-Hohenberg Equation -- Front Solutions of the Ginzburg-Landau Equation -- Renormalization Group and Its Application -- Marginal Stability Criterion and Pattern Selection -- Pattern Selection -- A Brief History on Dendrites -- Wave Speed Selection in the Fisher-Kolmogorov Equation -- Marginal Stability Criterion and Its Applications -- Credibility of Marginal Stability Criterion -- Modern Developments[superscript 1] -- Pattern Formation -- What is Pattern Formation? -- Gradient System and Its Dynamics -- Dynamics of Open Systems -- Method of Singular Limit Analysis -- Mean Curvature Flow -- Level-set Method and Viscosity Solution -- Distinguished Limits of the Phase Field Model -- Singular Limit Eigenvalue Problem -- Balanced Scaling in Singular Limit -- Transient Dynamics -- Self-Replication Pattern as Transient Dynamics -- Elementary Transient Dynamics -- Self-Replication Dynamics on a Finite Interval -- Pulse Interaction and Self-Replication Dynamics on the Infinite Interval -- Spatio-Temporal Chaos and Heteroclinic Cycle -- Construction of a Heteroclinic Loop -- Future Perspectives.
|
| Subject
|
:
|
Dynamics.
|
| Subject
|
:
|
Interfaces (Physical sciences)
|
| Subject
|
:
|
Scaling laws (Statistical physics)
|
| Subject
|
:
|
Phase transformations (Statistical physics)
|
| Subject
|
:
|
Pattern formation (Physical sciences)
|
| LC Classification
|
:
|
QA852.N5713 2002
|