Non UBC
DSpace
Dmitry Pelinovski
2019-12-08T10:02:52Z
2019-06-10T17:17
Steady states in Hamiltonian PDEs are often constrained minimizers of energy subject to
fixed mass and momentum. I will discuss two examples when the minimizers are degenerate
so that spectral stability of minimizers does not imply their nonlinear stability due to lack of coercivity of the second variation of energy. For the example related to the conformally invariant cubic wave equation on three-sphere, we prove that integrability of the normal form equations results in nonlinear stability of steady states. For the other example related to the nonlinear Schrodinger equation on a star graph, we prove that the lack of momentum conservation results in the irreversible drift of steady states and their nonlinear instability.
https://circle.library.ubc.ca/rest/handle/2429/72591?expand=metadata
38.0 minutes
video/mp4
Author affiliation: McMaster University
Oaxaca (Mexico : State)
10.14288/1.0386786
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Faculty
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Dynamical Systems And Ergodic Theory, Partial Differential Equations
Drift of steady states in Hamiltonian PDEs: two examples
Moving Image
http://hdl.handle.net/2429/72591