演講公告

新聞標題：　( 2013-11-05 )

• 演講主題：2013 NCTS/CMMSC Joint Analysis Seminar(短期課程)

• 主講人：林紹雄教授 (台灣大學數學系)

• 演講日期：2013年11月13日起

• 演講地點：交通大學 科學一館307室

• 摘要內容：
  

  Time：PM 13:30~15:20, Wednesday
  November 13 & 20 & 27, 2013
  Content：
  11/13：Review on classical KAM theory.
  The weak KAM theorem and the Hamilton-Jacobi equations.
  11/20：Nearly integrable non-linear Schrodinger equations with periodic BC. The first and second Melnikov conditions. Improved Nash-Moser implicit function theorem .
  11/27：The non-compact case. The small divisor problems.
  Persistence of complete integrability in 1-d.
  
  Abstract：
  KAM theory for nearly integrable Hamiltonian systems has a long 60 more years of history.
  Its influence on the general understanding of Classical Mechanics is tremendous.
  Its extensions to small perturbations of integrable soliton equatios have been done
  in many cases by Kuksin, Bourgain,Wayne, Deift, etc.. This talk will present some of their results
  in the special cases of non-linear Schrodinger equations. We will try to present the flow of ideas
  showing the existence of quasi-periodic solutions in these equations, pointing out the key conditions
  and the key computations or estimates. All the complcated details will be left out.

• 相關檔案：Poster-1021014.jpg

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