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SUMMARY:Dispersive Shock Waves in Lattices: A Dimension Reduction Approach
  - Christopher Chong (Bowdoin College)
DTSTART:20220714T103000Z
DTEND:20220714T110000Z
UID:TALK175880@talks.cam.ac.uk
DESCRIPTION:Dispersive shock waves (DSWs)\, which connect states of differ
 ent amplitude via a modulated wave train\, form generically in nonlinear d
 ispersive media subjected to abrupt changes in state.The primary tool for 
 the analytical study of DSWs is Whitham's modulation theory.While this fra
 mework has been successfully employed in many space-continuous settingsto 
 describe DSWs\, the Whitham modulation equations are virtually intractable
  in mostspatially discrete systems. In this talk\, we explore other avenue
 s to elucidateproperties of lattice DSWs that are based on reducing the dy
 namics to a low dimensional ODE. Connection of these results to Whitham mo
 dulation theory will also be discussed.
LOCATION:Seminar Room 1\, Newton Institute
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