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Publications Influence

Optimal Entropy-Transport problems and a new Hellinger–Kantorovich distance between positive measures

- M. Liero, A. Mielke, Giuseppe Savaré
- Mathematics
- 31 August 2015

We develop a full theory for the new class of Optimal Entropy-Transport problems between nonnegative and finite Radon measures in general topological spaces. These problems arise quite naturally by… Expand

131 32- PDF

Optimal Transport in Competition with Reaction: The Hellinger-Kantorovich Distance and Geodesic Curves

- M. Liero, A. Mielke, Giuseppe Savaré
- Computer Science, Mathematics
- SIAM J. Math. Anal.
- 31 August 2015

TLDR

82 8- PDF

Gradient structures and geodesic convexity for reaction–diffusion systems

- M. Liero, A. Mielke
- Mathematics, Medicine
- Philosophical Transactions of the Royal Society A…
- 1 September 2012

We consider systems of reaction–diffusion equations as gradient systems with respect to an entropy functional and a dissipation metric given in terms of a so-called Onsager operator, which is a sum… Expand

59 4- PDF

On gradient structures for Markov chains and the passage to Wasserstein gradient flows

TLDR

16 4- PDF

Rate independent Kurzweil processes

The Kurzweil integral technique is applied to a class of rate independent processes with convex energy and discontinuous inputs. We prove existence, uniqueness, and continuous data dependence of… Expand

31 3

On microscopic origins of generalized gradient structures

- M. Liero, A. Mielke, M. Peletier, D. M. Renger
- Mathematics, Physics
- 22 July 2015

Classical gradient systems have a linear relation between rates and driving forces. In generalized gradient systems we allow for arbitrary relations derived from general non-quadratic dissipation… Expand

32 2- PDF

Homogenization of Cahn – Hilliard-type equations via evolutionary Γ-convergence

- M. Liero, Sina Reichelt
- 2015

In this paper we discuss two approaches to evolutionary Γ-convergence of gradient systems in Hilbert spaces. The formulation of the gradient system is based on two functionals, namely the energy… Expand

15 2- PDF

A New Minimum Principle for Lagrangian Mechanics

- M. Liero, U. Stefanelli
- Computer Science, Mathematics
- J. Nonlinear Sci.
- 1 April 2013

TLDR

20 1- PDF

Point contacts at the copper-indium-gallium-selenide interface—A theoretical outlook

- A. Bercegol, Binoy Chacko, R. Klenk, I. Lauermann, M. Lux-Steiner, M. Liero
- Materials Science
- 21 April 2016

For a long time, it has been assumed that recombination in the space-charge region of copper-indium-gallium-selenide (CIGS) is dominant, at least in high efficiency solar cells with low band gap. The… Expand

11 1- PDF

AN EVOLUTIONARY ELASTOPLASTIC PLATE MODEL DERIVED VIA Γ-CONVERGENCE

This paper is devoted to dimension reduction for linearized elastoplasticity in the rate-independent case. The reference configuration of the three-dimensional elastoplastic body has a… Expand

30 1- PDF