TY - JOUR
T1 - Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach
AU - Funaki, Tadahisa
N1 - Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2012
Y1 - 2012
N2 - 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.
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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U2 - 10.1007/978-3-642-23811-6_19
DO - 10.1007/978-3-642-23811-6_19
M3 - Article
AN - SCOPUS:84904090750
VL - 11
SP - 463
EP - 490
JO - Springer Proceedings in Mathematics
JF - Springer Proceedings in Mathematics
SN - 2190-5614
ER -