BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//UM//UM*Events//EN
CALSCALE:GREGORIAN
BEGIN:VTIMEZONE
TZID:America/Detroit
TZURL:http://tzurl.org/zoneinfo/America/Detroit
X-LIC-LOCATION:America/Detroit
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20070311T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20071104T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTAMP:20250321T082635
DTSTART;TZID=America/Detroit:20250416T160000
DTEND;TZID=America/Detroit:20250416T170000
SUMMARY:Workshop / Seminar:Ziwet Colloquium Lecture: Mathematical Analysis of Novel Advanced Materials: Epitaxy and Quantum Dots\, Wetting and Dewetting
DESCRIPTION:Quantum dots are man-made nanocrystals of semiconducting materials. Their formation and assembly patterns play a central role in nanotechnology\, and in particular in the optoelectronic properties of semiconductors. Changing the dots' size and shape gives rise to many applications that permeate our daily lives\, such as the new Samsung QLED TV monitor that uses quantum dots to turn \"light into perfect color\"! \n\nQuantum dots are obtained via the deposition of a crystalline overlayer (epitaxial film) on a crystalline substrate. When the thickness of the film reaches a critical value\, the profile of the film becomes corrugated and islands (quantum dots) form. As the creation of quantum dots evolves with time\, materials defects appear. Their modelling is of great interest in materials science since material properties\, including rigidity and conductivity\, can be strongly influenced by the presence of defects such as dislocations. \n\nIn this talk\, we will use methods from the calculus of variations and partial differential equations to model and mathematically analyze the onset of quantum dots\, the regularity and evolution of their shapes\, and the nucleation and motion of dislocations. Further\, using the $H^{-1}$-gradient flow structure of the evolution law\, short-time existence for a surface diffusion evolution equation with curvature regularization is established in the context of epitaxially strained two-dimensional films. The main novelty\, as compared to the study of the wetting regime\, is the presence of moving contact lines.
UID:134004-21873777@events.umich.edu
URL:https://events.umich.edu/event/134004
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Free,Lecture,Mathematics,seminar
LOCATION:East Hall - 4448
CONTACT:
END:VEVENT
END:VCALENDAR