演講公告

新聞標題：　( 2008-02-26 )

• 演講主題：How to rigorously study dynamics of dissipative PDEs

• 主講人：Piotr Zgliczynski, Institute of Computer Science, Jagiellonian

• 演講日期：97年2月19日(星期二)<br>下午2:30 – 3:30

• 演講地點：(光復校區)科學一管223室

• 茶會時間：當天下午2:00於科學一館205室

• 摘要內容：
  

  On the example of Kuramoto-Sivashinsky PDE (KS-PDE) I will describe the method of self-consistent bounds and I will show how it was used to obtain computer assisted proofs of
  -the existence of multiple steady states, their bifurcations
  and stability/instability information,
  - the existence of periodic orbits, both stable and unstable
  - the prospects of the proof of the existence of symbolic dynamics for KS-PDE will be also discussed
  
  The method combines finite dimensional topological tools (fixed
  point index, Brouwer Theorem), some analytical estimates to
  control about Galerkin projections and rigorous numerics for
  differential inclusions (a Lohner-type algorithm).
  
  References see webpage: P. Zgliczynski, http://www.ii.uj.edu.pl/~zgliczyn

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