演講公告

新聞標題：　( 2009-09-16 )

• 演講主題：Orbital stability of bound states of nonlinear Schrodinger equations with linear and nonlinear optical lattices

• 主講人：林太家 教授(台灣大學數學系)

• 演講日期：98年9月22日(星期二) <br>下午1：30 - 2：30

• 演講地點：(光復校區)科學一館223室

• 摘要內容：
  

  We study the orbital stability and instability of
  single-spike bound states of semi-classical nonlinear
  Schrodinger (NLS) equations with critical exponent, linear
  and non-linear optical lattices (OLs). These equations may
  model two-dimensional Bose-Einstein condensates in linear
  and nonlinear OLs. When linear OLs are switched off, we
  derive the asymptotic expansion formulas and obtain
  necessary conditions for the orbital stability and
  instability of single-spike bound states, respectively. When
  linear OLs are turned on, we consider three different
  conditions of linear and nonlinear OLs to develop
  mathematical theorems which are most general on the orbital

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