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