Funaki, Tadahisa Derivation of the hydrodynamical equation for one-dimensional Ginzburg- Landau model. (English) Zbl 0659.60132 Probab. Theory Relat. Fields (to appear). The hydrodynamical behaviour 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 particular nonlinear diffusion equation. Reviewer: T.Funaki Cited in 1 ReviewCited in 2 Documents MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60H15 Stochastic partial differential equations (aspects of stochastic analysis) Keywords:hydrodynamical behaviour; Ginzburg-Landau model; stochastic partial differential equation; space-time scaling PDFBibTeX XML