4 papers
Talagrand-type transport inequalities for path spaces over Carnot groups
Peter K. Friz, Helena Kremp, Vaios Laschos +2
We consider Talagrand-type transportation inequalities for the law of Brownian motion on Carnot groups. An important example is the lift of standard Brownian motion to the Brownian…
Dimension reduction for a coupled electro-elastic saddle-point problem at finite strains
Kateryna Buryachenko, Annegret Glitzky, Matthias Liero +1
We study the finite deformation of a thin, elastically heterogeneous sheet subject to electrostatic coupling. The interaction between mechanics and electrostatics is formulated as…
Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow
Matthias Liero, Alexander Mielke, Oliver Tse +1
This study leverages the basic insight that the gradient-flow equation associated with the relative Boltzmann entropy, in relation to a Gaussian reference measure within the Hellin…
Uniqueness and regularity of weak solutions of a drift-diffusion system for perovskite solar cells
Annegret Glitzky, Matthias Liero
We establish a novel uniqueness result for an instationary drift-diffusion model for perovskite solar cells. This model for vacancy-assisted charge transport uses Fermi--Dirac stat…