عنوان

Far-from-equilibrium dynamics /

0821826255 (softcover : alk. paper)

9780821826256 (softcover : alk. paper)

b416268

Far-from-equilibrium dynamics /

[Book]

Yasumasa Nishiura ; translated by Kunimochi Sakamoto.

Providence, R.I. :

American Mathematical Society,

c2002.

xx, 311 p. :

ill. ;

22 cm.

Iwanami series in modern mathematics

Translations of mathematical monographs,

v. 209

0065-9282 ;

Includes bibliographical references (p. 291-308) and index.

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.

0

Hisenkei mondai.

1,

Patān keisei no sūri.

English

Dynamics.

Interfaces (Physical sciences)

Pattern formation (Physical sciences)

Phase transformations (Statistical physics)

Scaling laws (Statistical physics)

Nishiura, Yasumasa,1950-

20140220093451.0

[Book]

Y