Georg Heinze

Dissipative solutions for fibred Wasserstein gradient flows of Cahn-Hilliard-type energies

We study fourth-order evolution equations with a fibred Wasserstein gradient-flow structure, describing spatial transport of finitely many or a continuum of types. The driving Cahn-Hilliard-like energy combines a diagonal gradient contribution with nonlinear interactions between types. We prove subsequential convergenc...