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SUMMARY:Alessia Nota\, "SHORT Course: Kinetic equations for problems of pa
 rticle aggregation"
DTSTART;VALUE=DATE-TIME:20250604T100000Z
DTEND;VALUE=DATE-TIME:20250627T150000Z
DTSTAMP;VALUE=DATE-TIME:20260516T195300Z
UID:indico-event-844@indico.gssi.it
CONTACT:alessia.nota@gssi.it
DESCRIPTION:LecturerAlessia Nota alessia.nota@gssi.it Course description 
 and outcomesThe phenomenon of coagulation (coalescence or aggregation) is 
 the mechanism by which particles (clusters) grow\, the underlying process 
 being successive mergers. It can be observed in physical systems\, e.g.\, 
 aerosol and raindrop formation\, smoke\, sprays and galaxies\, as well as 
 in biological systems. The evolution of the particle size distribution is 
 described at mesoscopic level by the Smoluschowki coagulation equation\, a
 n integro-differential equation of kinetic type\, which provides a mean-f
 ield model of clustering dynamics. Coagulation equations are not only rele
 vant from the point of view of applications\; they are also fascinating du
 e to the rich structure that solutions can display.  Its solutions exhibi
 t rich behavior depending on the structure of the kernel which gives the r
 ate to each coagulation\, such as the phase transition termed as gelation 
 (giant particles appear in finite time) or self-similarity (preservation o
 f the shape over time).  In this course we will review the basic propert
 ies of the Smoluchowski equation\, explaining some of the main challenges 
 in the analysis and discussing some of the fundamental results obtained in
  the literature in the last decades. Moreover\, we will investigate the co
 nnection between the Smoluchowski coagulation equation and other classical
  kinetic equations\, as well as the validation of the coagulation equation
  from suitable particle systems.  Timetable and workloadWednesday 4th Ju
 ne\, 12:15--13:45 in Room A (Ex-ISEF)Friday 6th June\, 15:30--17:00 in Roo
 m A (Ex-ISEF)Monday 16th June\, 9:15--10.45 in Room A (Ex-ISEF)Wednesday 1
 8th June\,  10:45--12:15 in Room A (Ex-ISEF)Tuesday 24th June\, 10.45--12
 :15 in Room A (Ex-ISEF)Thursday 26th June\, 10:45--12:15 in Room A (Ex-ISE
 F)Friday 27th June\, 15.30--17.00 in Room A (Ex-ISEF)\n\nhttps://indico.gs
 si.it/event/844/
LOCATION:Ex-ISEF/Building-Room A (GSSI)
URL:https://indico.gssi.it/event/844/
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