56 citations · 359 across the 75 of their papers we have counts for
87 papers
Superlinear nonlocal diffusion systems for multispecies populations: well-posedness and discrete chain rules
Peter Hirvonen, Ansgar Jüngel, Annamaria Pollino
A nonlocal diffusion system describing the dynamics of multi-species populations and approximating the Shigesada-Kawasaki-Teramoto (SKT) model is analyzed in a bounded domain. The…
Energy dissipation and stability of a finite-volume scheme for two-phase flow models with dynamic capillary pressure
Ansgar Jüngel, Josipa-Pina Milišić, Sara Xhahysa
An implicit Euler finite-volume scheme for degenerate pseudo-parabolic cross-diffusion equations is proposed and analyzed. The system describes the dynamics of an unsaturated two-p…
Global existence analysis for a class of compressible Navier-Stokes-Korteweg equations
Ansgar Jüngel, Flora Philipp
The existence of global weak solutions to a broad class of Navier-Stokes-Korteweg equations is established for large data in the three-dimensional torus, including the diffuse-inte…
Improved weak-strong uniqueness for general cross-diffusion systems
Noah Geltner, Maria Heitzinger, Ansgar Jüngel
The weak-strong uniqueness of bounded solutions is established for a broad class of cross-diffusion systems, with or without volume-filling effects, and with or without full coerci…
A convergent Scharfetter-Gummel scheme for a three-species drift-diffusion model for memristors
Ansgar Jüngel, Zhiwei Sun, Sara Xhahysa
A structure-preserving fully implicit Scharfetter-Gummel finite-volume scheme for a three-species drift-diffusion model for semiconductors is proposed and analyzed. The equations d…
A Bernoulli Phase-Fitted finite difference method with wavenumber-explicit analysis for the Helmholtz problem
Ansgar Jüngel, Panchi Li, Zhiwei Sun +1
A new Bernoulli phase-fitted finite difference method for the Helmholtz equation is introduced, obtained by applying a complexified Scharfetter--Gummel flux to the one-way factors…
A generalized Scharfetter-Gummel scheme for nonlocal cross-diffusion systems
Ansgar Jüngel, Panchi Li, Zhiwei Sun
An implicit Euler finite-volume scheme for a nonlocal cross-diffusion system on the multidimensional torus is analyzed. The equations describe the dynamics of population species wi…
Existence analysis of a three-species memristor drift-diffusion system coupled to electric networks
Ansgar Jüngel, Tuan Tung Nguyen
The existence of global weak solutions to a partial-differential-algebraic system is proved. The system consists of the drift-diffusion equations for the electron, hole, and oxide…
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…
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…
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…
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…
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-…
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…
Structure-preserving semi-convex-splitting numerical scheme for a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
Ansgar Jüngel, Boyi Wang
A fully discrete semi-convex-splitting finite-element scheme with stabilization for a Cahn-Hilliard cross-diffusion system is analyzed. The system consists of parabolic fourth-orde…
Hypocoercivity for Linear ODEs and Strong Stability for Runge--Kutta Methods
Franz Achleitner, Anton Arnold, Ansgar Jüngel
In this note, we connect two different topics from linear algebra and numerical analysis: hypocoercivity of semi-dissipative matrices and strong stability for explicit Runge--Kutta…
Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation
Xiaokai Huo, Ansgar Jüngel
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier-Stokes equations for the density of the endothelial cells and their vel…
Large-time asymptotics for degenerate cross-diffusion population models with volume filling
Xiuqing Chen, Ansgar Jüngel, Xi Lin +1
The large-time asymptotics of the solutions to a class of degenerate parabolic cross-diffusion systems is analyzed. The equations model the interaction of an arbitrary number of po…
Analysis of a Poisson-Nernst-Planck-Fermi system for charge transport in ion channels
Ansgar Jüngel, Annamaria Massimini
A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a pola…
Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites
Markus Fellner, Ansgar Jüngel
A one-dimensional cross-diffusion system modeling the transport of vesicles in neurites is analyzed. The equations are coupled via nonlinear Robin boundary conditions to ordinary d…
Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system
Jingwei Hu, Ansgar Jüngel, Nicola Zamponi
The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fo…
Convergence of a finite volume scheme and dissipative measure-valued-strong stability for a hyperbolic-parabolic cross-diffusion system
Katharina Hopf, Ansgar Jüngel
This article is concerned with the development of a theoretical framework of global measure-valued solutions for a class of hyperbolic-parabolic cross-diffusion systems, and its ap…
Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems
Stefanos Georgiadis, Ansgar Jüngel
The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is described by Maxwell-Stefan equations with mass diffusion and heat conduction. The equations cons…
A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations
Ansgar Jüngel, Stefan Portisch, Antoine Zurek
An implicit Euler finite-volume scheme for a nonlocal cross-diffusion system on the one-dimensional torus, arising in population dynamics, is proposed and analyzed. The kernels are…