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^*

^*Corresponding author for this work

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

Access to Document

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

Cite this

@article{8b7a3d16b4284280a6ac131140713f66,

title = "Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach",

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",

year = "2012",

doi = "10.1007/978-3-642-23811-6_19",

language = "English",

volume = "11",

pages = "463--490",

journal = "Springer Proceedings in Mathematics",

issn = "2190-5614",

}

TY - JOUR

T1 - Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach

AU - Funaki, Tadahisa

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.

UR - http://www.scopus.com/inward/record.url?scp=84904090750&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904090750&partnerID=8YFLogxK

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 -

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

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this