Zobrazeno 1 - 10
of 2 053
pro vyhledávání: '"Pietschmann, P."'
We study a nonlocal Cahn-Hilliard model for a multicomponent mixture with cross-diffusion effects and degenerate mobility. The nonlocality is described by means of a symmetric singular kernel. We define a notion of weak solution adapted to possible d
Externí odkaz:
http://arxiv.org/abs/2408.07396
We study the existence of weak solutions for a model of cell invasion into the extracellular matrix (ECM), which consists of a non-linear partial differential equation for the density of cells, coupled with an ordinary differential equation (ODE) des
Externí odkaz:
http://arxiv.org/abs/2407.11228
This paper models gas networks as metric graphs, with isothermal Euler equations at the edges, Kirchhoff's law at interior vertices and time-(in)dependent boundary conditions at boundary vertices. For this setup, a generalized $p$-Wasserstein metric
Externí odkaz:
http://arxiv.org/abs/2405.01698
Publikováno v:
Arthroplasty, Vol 6, Iss 1, Pp 1-9 (2024)
Abstract Background UKA is a well-established treatment option for anteromedial osteoarthritis of the knee, resulting in superior functional outcomes but also higher revision rates than TKA. This study aimed to compare the outcomes of UKA, TKA, UKA c
Externí odkaz:
https://doaj.org/article/8397f773fade4711a37bc7631b9faae7
Autor:
Pietschmann, Leon, Zuercher, Paul-David, Bubík, Erik, Chen, Zhutian, Pfister, Hanspeter, Bohné, Thomas
The combination of Visual Guidance and Extended Reality (XR) technology holds the potential to greatly improve the performance of human workforces in numerous areas, particularly industrial environments. Focusing on virtual assembly tasks and making
Externí odkaz:
http://arxiv.org/abs/2308.03390
We study some properties of a multi-species degenerate Ginzburg-Landau energy and its relation to a cross-diffusion Cahn-Hilliard system. The model is motivated by multicomponent mixtures where crossdiffusion effects between the different species are
Externí odkaz:
http://arxiv.org/abs/2307.05985
In this note we continue the study of nonlocal interaction dynamics on a sequence of infinite graphs, extending the results of [Esposito et. al 2023+] to an arbitrary number of species. Our analysis relies on the observation that the graph dynamics f
Externí odkaz:
http://arxiv.org/abs/2306.17414
Autor:
Amadori, Debora, Andreianov, Boris, Di Francesco, Marco, Fagioli, Simone, Girard, Théo, Goatin, Paola, Markowich, Peter, Pietschmann, Jan F., Rosini, Massimiliano D., Russo, Giovanni, Stivaletta, Graziano, Wolfram, Marie-Therese
We provide an overview of the results on Hughes' model for pedestrian movements available in the literature. After the first successful approaches to solving a regularised version of the model, researchers focused on the structure of the Riemann prob
Externí odkaz:
http://arxiv.org/abs/2305.10076
We introduce a free boundary model to example the effect of vesicle transport onto neurite growth. It consists of systems of drift-diffusion equations describing the evolution of the density of antero- and retrograde vesicles in each neurite coupled
Externí odkaz:
http://arxiv.org/abs/2302.00527
We provide a numerical realisation of an optimal control problem for pedestrian motion with agents that was analysed in Herzog, Pietschmann, Winkler: "Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction.", arXiv 2011.03580, 2020
Externí odkaz:
http://arxiv.org/abs/2301.02516