Complex systems fascinate because of the way dynamic microscopic interactions give rise to striking, often unexpected macroscopic structures: convection cells in fluids, patterns in ecosystems, ...

Available to watch now, IUVSTA, in partnership with Agilent Technologies explores how magnetohydrodynamics can be formulated through a variational principle as a field theory In this webinar, ...

Complementary variational principles for a general class of diffusion problems are presented. The theory is illustrated by the electrostatic field and it is shown that Dirichlet's and Thomson's ...

We prove existence and uniqueness results for patterns of circles with prescribed intersection angles on constant curvature surfaces. Our method is based on two new functionals--one for the Euclidean ...