### 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 |
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Pages (from-to) | 39-93 |

Number of pages | 55 |

Journal | Probability Theory and Related Fields |

Volume | 82 |

Issue number | 1 |

DOIs | |

Publication status | Published - 1989 Jun |

Externally published | Yes |

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### ASJC Scopus subject areas

- Analysis
- Statistics and Probability
- Statistics, Probability and Uncertainty

### Cite this

**Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model.** / Funaki, Tadahisa.

Research output: Contribution to journal › Article

}

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 -