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20112026
most citedGlobal existence analysis of cross-diffusion population systems for multiple species

56 citations · 359 across the 75 of their papers we have counts for

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Showing 2024Show all

6 papers · 1 filter

math.AP2024

Charge transport systems with Fermi-Dirac statistics for memristors

Maxime Herda, Ansgar Jüngel, Stefan Portisch

An instationary drift-diffusion system for the electron, hole, and oxygen vacancy densities, coupled to the Poisson equation for the electric potential, is analyzed in a bounded do…

math.NA2024

Bayesian inversion for the identification of the doping profile in unipolar semiconductor devices

Leila Taghizadeh, Ansgar Jüngel

A rigorous Bayesian formulation of the inverse doping profile problem in infinite dimensions for a stationary linearized unipolar drift-diffusion model for semiconductor devices is…

math.AP2024

Global weak solutions to a fractional Cahn-Hilliard cross-diffusion system in lymphangiogenesis

Ansgar Jüngel, Yue Li

A spectral-fractional Cahn-Hilliard cross-diffusion system, which describes the pre-patterning of lymphatic vessel morphology in collagen gels, is studied. The model consists of tw…

math.NA2024

Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems

Sergio Gómez, Ansgar Jüngel, Ilaria Perugia

We present and analyze a structure-preserving method for the approximation of solutions to nonlinear cross-diffusion systems, which combines a Local Discontinuous Galerkin spatial…

math.PR2024★ 2 cited

Fluctuations around the mean-field limit for attractive Riesz potentials in the moderate regime

Li Chen, Alexandra Holzinger, Ansgar Jüngel

A central limit theorem is shown for moderately interacting particles in the whole space. The interaction potential approximates singular attractive or repulsive potentials of sub-…

math.PR2024

Long-time behavior for discretization schemes of Fokker-Planck equations via couplings

Ansgar Jüngel, Katharina Schuh

Continuous-time Markov chains associated to finite-volume discretization schemes of Fokker-Planck equations are constructed. Sufficient conditions under which quantitative exponent…