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Math Colloquium: A Weaker Notion of Convexity for Actions Beyond fluid Mechanics
Start Date: 5/20/2019Start Time: 3:30 PM
End Date: 5/20/2019End Time: 4:30 PM

Event Description

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 de ned on the set of k-differential forms (Joint work with B. Dacorogna).

Contact Information:
Name: Eric Schmutz
Email: schmutze@drexel.edu
Curtis Hall, Room 341, 3141 Chestnut Street, Philadelphia PA, 19104
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