University of Toronto
                  PDE/Applied Math/Analysis Seminar
                      Friday April 7, 3:10-4pm
                          6183 Bahen Center      



SPEAKER:  Maria Pia Gualdani (Mainz)

TITLE:    A nonlinear fourth-order parabolic equation and 
          related entropy functionals.

ABSTRACT: A nonlinear fourth-order parabolic equation is presented; 
          the equation appears in quantum semiconductor modeling 
          and also in the study of interface fluctuation in a 
          certain spin system. Several Lyapunov functionals are 
          used in order to show existence results and long-time 
          asymptotics for bounded and unbounded domains in one 
          and more dimensional space. Exponential decay in time 
          of the solution to the steady state is proved by the 
          entropy-entropy production method using optimal 
          logarithmic Sobolev inequalities.


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2005-2006 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Bob Jerrard           rjerrard@ math.toronto.edu
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