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Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model
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  • Published: June 1989

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

  • Tadahisa Funaki1 

Probability Theory and Related Fields volume 82, pages 39–93 (1989)Cite this article

Summary

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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Nagoya University, 464, Nagoya, Japan

    Tadahisa Funaki

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  1. Tadahisa Funaki
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Dedicated to Professor Takeyuki Hida on his 60th birthday

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Funaki, T. Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model. Probab. Th. Rel. Fields 82, 39–93 (1989). https://doi.org/10.1007/BF00340012

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  • Received: 12 April 1988

  • Revised: 30 August 1988

  • Issue Date: June 1989

  • DOI: https://doi.org/10.1007/BF00340012

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Stochastic Process
  • Probability Theory
  • Statistical Theory
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