The Cauchy problem for the planar spin-liquid model

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Published 4 March 2005 • 2005 IOP Publishing Ltd and London Mathematical Society
, , Citation Nai-Heng Chang and Oktay K Pashaev 2005 Nonlinearity 18 1305 DOI 10.1088/0951-7715/18/3/019

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Author affiliations

1 Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung, Taiwan 811, Republic of China

2 Department of Mathematics, Izmir Institute of Technology, Urla-Izmir 35437, Turkey

3 Also at: Joint Institute for Nuclear Research, Dubna (Moscow) 141980, Russian Federation.

Dates

  1. Received 30 January 2004
  2. Published

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0951-7715/18/3/1305

Abstract

In this paper, we study the Cauchy problem of a two-dimensional model for a moving ferromagnetic continuum and prove global existence and uniqueness of solutions. In addition, equivalence to the coupled system of nonlinear Schrödinger equations interacting with a Chern–Simons gauge field is established.

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10.1088/0951-7715/18/3/019