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UID:news1998@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260424T135128
DTSTART;TZID=Europe/Zurich:20260507T121500
SUMMARY:Bernoullis Tafelrunde: Gianluca Somma (Università di Padova)
DESCRIPTION:Abstract [t3://file?uid=4157]\\r\\nTransport equations describe
  the evolution of quantities conserved along a velocity field and play a c
 entral role in Analysis and Mathematical Physics. In the Euclidean setting
 \, DiPerna-Lions (1989) proved existence and uniqueness of solutions for v
 elocity fields with Sobolev regularity. In this talk\, I will discuss the 
 extension of this theory to the non-Euclidean setting of Heisenberg groups
 \, where the natural assumption is horizontal Sobolev regularity. In parti
 cular\, I will present a recent result on existence and uniqueness of solu
 tions to transport equations associated with the class of contact velocity
  fields. This is joint work with L. Ambrosio\, S. Verzellesi and D. Vitton
 e.
X-ALT-DESC:<p><a href="t3://file?uid=4157">Abstract</a></p>\n<p>Transport e
 quations describe the evolution of quantities conserved along a velocity f
 ield and play a central role in Analysis and Mathematical Physics. In the 
 Euclidean setting\, DiPerna-Lions (1989) proved existence and uniqueness o
 f solutions for velocity fields with Sobolev regularity. In this talk\, I 
 will discuss the extension of this theory to the non-Euclidean setting of 
 Heisenberg groups\, where the natural assumption is horizontal Sobolev reg
 ularity. In particular\, I will present a recent result on existence and u
 niqueness of solutions to transport equations associated with the class of
  contact velocity fields. This is joint work with L. Ambrosio\, S. Verzell
 esi and D. Vittone.</p>
DTEND;TZID=Europe/Zurich:20260507T130000
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