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

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

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 1

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

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10.1007/BF00340012

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Funaki, T. (1989). Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model. Probability Theory and Related Fields, 82(1), 39-93. https://doi.org/10.1007/BF00340012

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