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20112026
most citedGlobal existence analysis of cross-diffusion population systems for multiple species

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

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5 papers · 1 filter

math.AP2016

Existence analysis of a single-phase flow mixture model with van der Waals pressure

Ansgar Jüngel, Jiří Mikyška, Nicola Zamponi

The transport of single-phase fluid mixtures in porous media is described by cross-diffusion equations for the mass densities. The equations are obtained in a thermodynamic consist…

math.AP2016★ 1 cited

Displacement convexity for the entropy in semidiscrete nonlinear Fokker-Planck equations

José A. Carrillo, Ansgar Jüngel, Matheus C. Santos

The displacement -convexity of a nonstandard entropy with respect to a nonlocal transportation metric in finite state spaces is shown using a gradient flow approach. The constan…

math.AP2016★ 56 cited

Global existence analysis of cross-diffusion population systems for multiple species

Xiuqing Chen, Esther S. Daus, Ansgar Jüngel

The existence of global-in-time weak solutions to reaction-cross-diffusion systems for an arbitrary number of competing population species is proved. The equations can be derived f…

math.AP2016★ 17 cited

A kinetic equation for economic value estimation with irrationality and herding

Bertram Düring, Ansgar Jüngel, Lara Trussardi

A kinetic inhomogeneous Boltzmann-type equation is proposed to model the dynamics of the number of agents in a large market depending on the estimated value of an asset and the rat…

math.AP2016★ 4 cited

A cross-diffusion system derived from a Fokker-Planck equation with partial averaging

Ansgar Jüngel, Nicola Zamponi

A cross-diffusion system for two compoments with a Laplacian structure is analyzed on the multi-dimensional torus. This system, which was recently suggested by P.-L. Lions, is form…