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

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article

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 Jan 1

ASJC Scopus subject areas

Mathematics(all)
Statistics, Probability and Uncertainty

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Funaki, T. (2012). Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach. Springer Proceedings in Mathematics, 11, 463-490. https://doi.org/10.1007/978-3-642-23811-6_19

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