7 citations · 12 across the 5 of their papers we have counts for
7 papers
Two spinorial drift-diffusion models for quantum electron transport in graphene
Nicola Zamponi, Ansgar Jüngel
Two drift-diffusion models for the quantum transport of electrons in graphene, which account for the spin degree of freedom, are derived from a spinorial Wigner equation with relax…
Cross-diffusion systems with entropy structure
Ansgar Jüngel
Some results on cross-diffusion systems with entropy structure are reviewed. The focus is on local-in-time existence results for general systems with normally elliptic diffusion op…
Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models
Ansgar Jüngel, Oliver Leingang
The existence of weak solutions and upper bounds for the blow-up time for time-discrete parabolic-elliptic Keller-Segel models for chemotaxis in the two-dimensional whole space are…
Analysis of a degenerate parabolic cross-diffusion system for ion transport
Anita Gerstenmayer, Ansgar Jüngel
A cross-diffusion system describing ion transport through biological membranes or nanopores in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. The io…
Energy-transport models for spin transport in ferromagnetic semiconductors
Ansgar Jüngel, Polina Shpartko, Nicola Zamponi
Explicit energy-transport equations for the spinorial carrier transport in ferromagnetic semiconductors are calculated from a general spin energy-transport system that was derived…
Analysis of degenerate cross-diffusion population models with volume filling
Nicola Zamponi, Ansgar Jüngel
A class of parabolic cross-diffusion systems modeling the interaction of an arbitrary number of population species is analyzed in a bounded domain with no-flux boundary conditions.…