On the stability of certain spin models in 2+1 dimensions

I. Bejenaru; A. D. Ionescu; C. E. Kenig

doi:10.1007/s12220-010-9143-2

On the stability of certain spin models in 2+1 dimensions

I. Bejenaru
, A. D. Ionescu
, C. E. Kenig

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

8 Scopus citations

Abstract

In this paper we prove large-data local stability theorems for several spin-field models in two dimensions, both in the focusing case (spherical target) and the defocusing case (hyperbolic target).

Original language	English (US)
Pages (from-to)	1-39
Number of pages	39
Journal	Journal of Geometric Analysis
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s12220-010-9143-2
State	Published - Jan 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

Keywords

Ishimori system
Orthonormal frame
Spin models

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10.1007/s12220-010-9143-2

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title = "On the stability of certain spin models in 2+1 dimensions",

abstract = "In this paper we prove large-data local stability theorems for several spin-field models in two dimensions, both in the focusing case (spherical target) and the defocusing case (hyperbolic target).",

keywords = "Ishimori system, Orthonormal frame, Spin models",

author = "I. Bejenaru and Ionescu, \{A. D.\} and Kenig, \{C. E.\}",

note = "Funding Information: I.B. was supported in part by NSF grant DMS0738442. A.I. was supported in part by a Packard Fellowship. C.K. was supported in part by NSF grant DMS0456583.",

year = "2011",

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doi = "10.1007/s12220-010-9143-2",

language = "English (US)",

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T1 - On the stability of certain spin models in 2+1 dimensions

AU - Bejenaru, I.

AU - Ionescu, A. D.

AU - Kenig, C. E.

N1 - Funding Information: I.B. was supported in part by NSF grant DMS0738442. A.I. was supported in part by a Packard Fellowship. C.K. was supported in part by NSF grant DMS0456583.

PY - 2011/1

Y1 - 2011/1

N2 - In this paper we prove large-data local stability theorems for several spin-field models in two dimensions, both in the focusing case (spherical target) and the defocusing case (hyperbolic target).

AB - In this paper we prove large-data local stability theorems for several spin-field models in two dimensions, both in the focusing case (spherical target) and the defocusing case (hyperbolic target).

KW - Ishimori system

KW - Orthonormal frame

KW - Spin models

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UR - https://www.scopus.com/pages/publications/79951518337#tab=citedBy

U2 - 10.1007/s12220-010-9143-2

DO - 10.1007/s12220-010-9143-2

M3 - Article

AN - SCOPUS:79951518337

SN - 1050-6926

VL - 21

SP - 1

EP - 39

JO - Journal of Geometric Analysis

JF - Journal of Geometric Analysis

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ER -

On the stability of certain spin models in 2+1 dimensions

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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