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