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Colloquium Home >>
UCCS MATHEMATICS
COLLOQUIUM
Thursday,
February 21, 2008
12:30 p.m.-1:30 p.m.
UC Room 307
(Refreshments at 12:15 pm)
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On the Soliton Resolution Conjecture
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Dr. Radu Cascaval
Department of Mathematics, University of Colorado at Colorado Springs
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Abstract: In this talk we will survey some of the recent developments in the theory of soliton dynamics, in particular the large time asymptotics of the Cauchy problem for some dispersive and hyperbolic nonlinear PDEs and the resolution into independent freely moving coherent structures, such as solitons. Numerical simulations indicate this phenomenon is generic for systems that appear in the real world, such as reaction-diffusion in excitable media, light wave propagation in optical media and in water waves. The soliton resolution conjecture, as this phenomenon is usually referred to, provides many outstanding theoretical challenges, in the context of non-integrable systems.
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