Special Session 21: Fluid dynamics and PDE

Suppressing blowup of solutions of the generalized KdV equation

Jerry Bona
University of Illinois at Chicago
USA
Co-Author(s):    Jerry L. Bona and Hongqiu Chen
Abstract:
The generalized Korteweg--de Vries equation $$ u_t + u^pu_x + u_{xxx} \, = \, 0 $$ apparently has solutions that blow up in finite time for $p \geq 4$. The lecture centers around the addition of terms that can counteract this blowup for values of $p > 4$.