Nirmalendu Chaudhuri, University of Wollongong 2pm-3pm, Friday 15th August, Room 707A Abstract: In this talk we will discuss the local integrability of distributions q satisfying the system of equations $ Dq=div f $ for some matrix field $ f=(f^i_j) $, for which $ f^i_j$ are in the local Hardy space $ h1 $. As a consequence, we will discuss the existence and the local representation of the hydrostatic pressure and the derivation of Euler-Lagrange equations associated with volume-preserving, elastic energy-minimizing vector fields in $R^n$. (Joint work with Aram Karakhanyan)