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SUMMARY:Weakly nonlinear dynamics of self-propelling active droplets - Gun
 nar Peng\, Imperial College London
DTSTART:20230622T120000Z
DTEND:20230622T130000Z
UID:TALK202519@talks.cam.ac.uk
CONTACT:Marco Vona
DESCRIPTION:An active droplet emitting or consuming a chemical that affect
 s its surface tension can exhibit spontaneous motion\, by driving a symmet
 ry-breaking Marangoni flow. We derive a reduced-order model for the slow d
 ynamics of the droplet near the threshold for spontaneous motion using a w
 eakly nonlinear expansion\, which involves matching a quasi-steady droplet
 -scale solution to an unsteady diffusive remote region. The resulting ampl
 itude equation for the droplet velocity includes a term representing the i
 nteraction of the droplet with its own wake in the remote region\, which c
 an be expressed as a time integral over the history of the droplet motion.
  This allows theoretical analysis and efficient numerical simulation of fu
 lly three-dimensional problems for one or more droplets in various setting
 s.
LOCATION:MR12\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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