Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model

Tadahisa Funaki

doi:10.1007/BF00340012

Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model

Tadahisa Funaki

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.

Original language	English
Pages (from-to)	39-93
Number of pages	55
Journal	Probability Theory and Related Fields
Volume	82
Issue number	1
DOIs	https://doi.org/10.1007/BF00340012
Publication status	Published - 1989 Jun
Externally published	Yes

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/BF00340012

Fingerprint Dive into the research topics of 'Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model'. Together they form a unique fingerprint.

Cite this

@article{56c837098c234973b7970b17dde1fb2e,

title = "Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model",

abstract = "The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.",

author = "Tadahisa Funaki",

year = "1989",

month = jun,

doi = "10.1007/BF00340012",

language = "English",

volume = "82",

pages = "39--93",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model

AU - Funaki, Tadahisa

PY - 1989/6

Y1 - 1989/6

N2 - The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.

AB - The hydrodynamical behavior of one-dimensional scalar Ginzburg-Landau model with conservation law is investigated. The dynamics of the system is given by solving a stochastic partial differential equation. Under appropriate space-time scaling, a deterministic limit is obtained and the limit is described by a certain nonlinear diffusion equation.

UR - http://www.scopus.com/inward/record.url?scp=0009125442&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0009125442&partnerID=8YFLogxK

U2 - 10.1007/BF00340012

DO - 10.1007/BF00340012

M3 - Article

AN - SCOPUS:0009125442

VL - 82

SP - 39

EP - 93

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

SN - 0178-8051

IS - 1

ER -