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The hydrodynamical limit for scalar ginzburg-landau model on R

Part of the Lecture Notes in Mathematics book series (LNM,volume 1322)

Keywords

  • Invariant Measure
  • Hydrodynamical Equation
  • Nonlinear Partial Differential Equation
  • Stochastic Partial Differential Equation
  • Hydrodynamical Limit

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References

  1. A. De Masi, N. Ianiro, S. Pellegrinotti and E. Presutti, A survey of the hydrodynamical behavior of many-particle systems, in Nonequilibrium Phenomena II, edited by J.L. Lebowitz and E.W. Montroll, North-Holland, Amsterdam, 1984.

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  2. J. Fritz, On the hydrodynamical limit of a one-dimensional Ginzburg-Landau lattice model. The a priori bounds, J. Statis. Phys., 47 (1987), 551–572.

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  3. T. Funaki, On diffusive motion of closed curves, in Probability Theory and Mathematical Statistics, edited by S. Watanabe and Yu.V. Prokhorov, Lecture Notes in Mathematics, Springer, to appear.

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  4. T. Funaki, Derivation of the hydrodynamical equation for one-dimensional Ginzburg-Landau model, IMA Preprint Series, #328, University of Minnesota, 1987.

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  5. P.C. Hohenberg and B.I. Halperin, Theory of dynamic critical phenomena, Rev. Mod. Phys., 49 (1977), 435–479.

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  6. O.A. Ladyzenskaya, V.A. Solonnikov and N.N. Ural'ceva, Linear and quasilinear equations of parabolic type, AMS, Translations of mathematical monographs, 23, 1968.

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© 1988 Springer-Verlag

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Funaki, T. (1988). The hydrodynamical limit for scalar ginzburg-landau model on R. In: Métivier, M., Watanabe, S. (eds) Stochastic Analysis. Lecture Notes in Mathematics, vol 1322. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077864

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  • DOI: https://doi.org/10.1007/BFb0077864

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19352-4

  • Online ISBN: 978-3-540-39232-3

  • eBook Packages: Springer Book Archive