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math.AP2025
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…
math.AP2024
Fluid relaxation approximation of the Busenberg--Travis cross-diffusion system
J. A. Carrillo, X. Chen, B. Du +1
The Busenberg--Travis cross-diffusion system for segregating populations is approximated by the compressible Navier--Stokes--Korteweg equations on the torus, including a density-de…
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…