56 citations · 359 across the 75 of their papers we have counts for
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Bounded weak solutions to matrix drift-diffusion model for spin-coherent electron transport in semiconductors
Ansgar Jüngel, Claudia Negulescu, Polina Shpartko
The global-in-time existence and uniqueness of bounded weak solutions to a spinorial matrix drift-diffusion model for semiconductors is proved. Developing the electron density matr…
Perfectly Matched Layers versus discrete transparent boundary conditions in quantum device simulations
Jan-Frederik Mennemann, Ansgar Jüngel
Discrete transparent boundary conditions (DTBC) and the Perfectly Matched Layers (PML) method for the realization of open boundary conditions in quantum device simulations are comp…
Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations
Ansgar Jüngel, Josipa-Pina Milišić
New one-leg multistep time discretizations of nonlinear evolution equations are investigated. The main features of the scheme are the preservation of the nonnegativity and the entr…
Global existence analysis for degenerate energy-transport models for semiconductors
Nicola Zamponi, Ansgar Jüngel
A class of energy-transport equations without electric field under mixed Dirichlet-Neumann boundary conditions is analyzed. The system of degenerate and strongly coupled parabolic…
Analysis of an incompressible Navier-Stokes-Maxwell-Stefan system
Xiuqing Chen, Ansgar Jüngel
The incompressible Navier-Stokes equations coupled to the Maxwell-Stefan relations for the molar fluxes are analyzed in bounded domains with no-flux boundary conditions. The system…
A note on Aubin-Lions-Dubinskii lemmas
Xiuqing Chen, Ansgar Jüngel, Jian-Guo Liu
Strong compactness results for families of functions in seminormed nonnegative cones in the spirit of the Aubin-Lions-Dubinski\uı lemma are proven, refining some recent results in…
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities
Claire Chainais-Hillairet, Ansgar Jüngel, Stefan Schuchnigg
The time decay of fully discrete finite-volume approximations of porous-medium and fast-diffusion equations with Neumann or periodic boundary conditions is proved in the entropy se…
An asymptotic limit of a Navier-Stokes system with capillary effects
A. Jüngel, C. -K. Lin, K. -C. Wu
A combined incompressible and vanishing capillarity limit in the barotropic compressible Navier-Stokes equations for smooth solutions is proved. The equations are considered on the…