Mathematics Colloquia and Seminars
Return to Colloquia & Seminar listing
Almost conservation laws and global wellposednessColloquium
|Speaker: ||James Colliander, UC Berkeley|
|Location: ||693 Kerr|
|Start time: ||Mon, Jan 29 2001, 4:10PM|
A dynamical reinterpretation of the L^2 mass conservation law for solutions of the KdV equation has led to a general procedure for proving almost conservation laws for solutions of nonlinear Hamiltonian PDE. The almost conserved quantities have been used to globalize the available local-in-time wellposedness results for various KdV and NLS type equations and will provide insights into the long-time behavior of solutions. This talk will survey the known local theory, highlighting aspects requiring further investigation. The procedure for constructing almost conserved quantities will be described.