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03/28/03 Colloquium
DR. YUANWEI QI
UNIVERSITY OF CALIFORNIA - SANTA BARBARA
UNIVERSITY OF CALIFORNIA - SANTA BARBARA
Nonlinear Evolution Equations with Critical Nonlinearity-Global Dynamics and the Renormalization Group Method
Abstract: In this talk, I shall report on some of my recent works on nonlinear parabolic equations, arising from chemical reactions, fluid mechanics and other applications, with critical nonlinearity. I shall show how to combine the classical PDE techniques with the Renormalization Group (RG) method to derive large time spatial-temporal profile of general solutions. It is hopeful that the analysis will be used to help the design of efficient numerical schemes for a class of nonlinear evolution equations.