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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0306038 (nlin)
[Submitted on 18 Jun 2003]

Title:Pole solutions in the case of problems of flame front propagation and Saffman-Teylor "finger" formation without surface tension: open problems and possible ways of their solutions

Authors:Oleg Kupervasser
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Abstract: Some physical problems as flame front propagation or Laplacian growth without surface tension have nice analytical solutions which replace its complex integro-differential motion equations by simple differential equations of poles motion in a complex plane. Investigation of these equation was the main topic of Kupervasser Oleg Ph.D. Thesis[7]. Some very interesting open problems were hanged up there. Here we give these open problems and possible ways of their solutions.
Comments: 3 pages
Subjects: Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:nlin/0306038 [nlin.PS]
  (or arXiv:nlin/0306038v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0306038

Submission history

From: Kupervasser [view email]
[v1] Wed, 18 Jun 2003 13:42:27 UTC (5 KB)
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