Stability criteria for nonlinear waves in Hamiltonian and reversible systems

46 mins 40 secs,  165.72 MB,  WebM  640x360,  29.97 fps,  44100 Hz,  484.85 kbits/sec
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Description: Haragus, M
Wednesday 4th October 2017 - 09:45 to 10:30
 
Created: 2017-10-05 13:13
Collection: Mathematics of sea ice phenomena
Publisher: Isaac Newton Institute
Copyright: Haragus, M
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: We present two general stability/instability criteria for nonlinear waves in Hamiltonian or reversible systems. Both criteria rely upon spectral properties of the linear operators found by linearizing the system at a given wave. We apply these results to some model equations arising in water-wave problems. The focus is on the question of transverse stability/instability of periodic traveling waves.
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