Math Colloquium: A Weaker Notion of Convexity for Actions Beyond fluid Mechanics
Monday, May 20, 2019
3:30 PM-4:30 PM
Wilfrid Gangbo, UCLA
Abstract: In fluid mechanics, one deal with actions A=L(q,m)dtdx which depend only on the momentum m and distribution q of the system of the particles. In this case, it is well understood that convexity of L is the right notion for studying variational problems. Following a theory by C Morrey in 1966, we propose a weaker notion of convexity, appropriate for actions depending on other quantities such as electro=magnetic elds. We introduce a gauge which reduces our problem to understanding the relaxation of a functional dened on the set of k-differential forms (Joint work with B. Dacorogna).
Contact Information
Eric Schmutz
schmutze@drexel.edu
Location
Curtis Hall, Room 341, 3141 Chestnut Street, Philadelphia PA, 19104
Audience