Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach

Tadahisa Funaki

doi:10.1007/978-3-642-23811-6_19

Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach

Tadahisa Funaki

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We prove the hydrodynamic limit for the Ginzburg-Landau ∇φ interface model based on a two-scale approach recently introduced by Grunewald et al.6 under the assumptions of the strict convexity of the coarse-grained Hamiltonian and the logarithmic Sobolev inequality for canonical Gibbs measures. In particular, strictly convex potentials satisfy these assumptions.

Original language	English
Pages (from-to)	463-490
Number of pages	28
Journal	Springer Proceedings in Mathematics
Volume	11
DOIs	https://doi.org/10.1007/978-3-642-23811-6_19
Publication status	Published - 2012
Externally published	Yes

ASJC Scopus subject areas

Mathematics(all)
Statistics, Probability and Uncertainty

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10.1007/978-3-642-23811-6_19

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abstract = "We prove the hydrodynamic limit for the Ginzburg-Landau ∇φ interface model based on a two-scale approach recently introduced by Grunewald et al.6 under the assumptions of the strict convexity of the coarse-grained Hamiltonian and the logarithmic Sobolev inequality for canonical Gibbs measures. In particular, strictly convex potentials satisfy these assumptions.",

author = "Tadahisa Funaki",

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AB - We prove the hydrodynamic limit for the Ginzburg-Landau ∇φ interface model based on a two-scale approach recently introduced by Grunewald et al.6 under the assumptions of the strict convexity of the coarse-grained Hamiltonian and the logarithmic Sobolev inequality for canonical Gibbs measures. In particular, strictly convex potentials satisfy these assumptions.

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JO - Springer Proceedings in Mathematics

JF - Springer Proceedings in Mathematics

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ER -

Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach

Abstract

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