146 citations · 161 across the 30 of their papers we have counts for
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Global martingale solutions for quasilinear SPDEs via the boundedness-by-entropy method
Gaurav Dhariwal, Florian Huber, Ansgar Jüngel +2
The existence of global-in-time bounded martingale solutions to a general class of cross-diffusion systems with multiplicative Stratonovich noise is proved. The equations describe…
Large-time asymptotics for a matrix spin drift-diffusion model
Philipp Holzinger, Ansgar Jüngel
The large-time asymptotics of the density matrix solving a drift-diffusion-Poisson model for the spin-polarized electron transport in semiconductors is proved. The equations are an…
Vanishing cross-diffusion limit in a Keller-Segel system with additional cross-diffusion
Ansgar Jüngel, Oliver Leingang, Shu Wang
Keller-Segel systems in two and three space dimensions with an additional cross-diffusion term in the equation for the chemical concentration are analyzed. The cross-diffusion term…
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…