56 citations · 359 across the 75 of their papers we have counts for
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Superlinear nonlocal diffusion systems for multispecies populations: well-posedness and discrete chain rules
Peter Hirvonen, Ansgar Jüngel, Annamaria Pollino
A nonlocal diffusion system describing the dynamics of multi-species populations and approximating the Shigesada-Kawasaki-Teramoto (SKT) model is analyzed in a bounded domain. The…
Global existence analysis for a class of compressible Navier-Stokes-Korteweg equations
Ansgar Jüngel, Flora Philipp
The existence of global weak solutions to a broad class of Navier-Stokes-Korteweg equations is established for large data in the three-dimensional torus, including the diffuse-inte…
Improved weak-strong uniqueness for general cross-diffusion systems
Noah Geltner, Maria Heitzinger, Ansgar Jüngel
The weak-strong uniqueness of bounded solutions is established for a broad class of cross-diffusion systems, with or without volume-filling effects, and with or without full coerci…
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…
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…
Global weak solutions to a fractional Cahn-Hilliard cross-diffusion system in lymphangiogenesis
Ansgar Jüngel, Yue Li
A spectral-fractional Cahn-Hilliard cross-diffusion system, which describes the pre-patterning of lymphatic vessel morphology in collagen gels, is studied. The model consists of tw…
Global existence and weak-strong uniqueness for chemotaxis compressible Navier-Stokes equations modeling vascular network formation
Xiaokai Huo, Ansgar Jüngel
A model of vascular network formation is analyzed in a bounded domain, consisting of the compressible Navier-Stokes equations for the density of the endothelial cells and their vel…
Large-time asymptotics for degenerate cross-diffusion population models with volume filling
Xiuqing Chen, Ansgar Jüngel, Xi Lin +1
The large-time asymptotics of the solutions to a class of degenerate parabolic cross-diffusion systems is analyzed. The equations model the interaction of an arbitrary number of po…
Analysis of a Poisson-Nernst-Planck-Fermi system for charge transport in ion channels
Ansgar Jüngel, Annamaria Massimini
A modified Poisson-Nernst-Planck system in a bounded domain with mixed Dirichlet-Neumann boundary conditions is analyzed. It describes the concentrations of ions immersed in a pola…
Existence analysis of a cross-diffusion system with nonlinear Robin boundary conditions for vesicle transport in neurites
Markus Fellner, Ansgar Jüngel
A one-dimensional cross-diffusion system modeling the transport of vesicles in neurites is analyzed. The equations are coupled via nonlinear Robin boundary conditions to ordinary d…
Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system
Jingwei Hu, Ansgar Jüngel, Nicola Zamponi
The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fo…
Global existence of weak solutions and weak-strong uniqueness for nonisothermal Maxwell-Stefan systems
Stefanos Georgiadis, Ansgar Jüngel
The dynamics of multicomponent gas mixtures with vanishing barycentric velocity is described by Maxwell-Stefan equations with mass diffusion and heat conduction. The equations cons…
Existence analysis for a reaction-diffusion Cahn-Hilliard-type system with degenerate mobility and singular potential modeling biofilm growth
Christoph Helmer, Ansgar Jüngel
The global existence of bounded weak solutions to a diffusion system modeling biofilm growth is proven. The equations consist of a reaction-diffusion equation for the substrate con…
Hyperbolic-parabolic normal form and local classical solutions for cross-diffusion systems with incomplete diffusion
Pierre-Étienne Druet, Katharina Hopf, Ansgar Jüngel
We investigate degenerate cross-diffusion equations with a rank-deficient diffusion matrix that are considered to model populations which move as to avoid spatial crowding and have…
A coupled stochastic differential reaction-diffusion system for angiogenesis
Markus Fellner, Ansgar Jüngel
A coupled system of nonlinear mixed-type equations modeling early stages of angiogenesis is analyzed in a bounded domain. The system consists of stochastic differential equations d…
Analysis of a fractional cross-diffusion system for multi-species populations
Ansgar Jüngel, Nicola Zamponi
The global in time existence of weak solutions to a cross-diffusion system with fractional diffusion in the whole space is proved. The equations describe the evolution of multi-spe…
Analysis and mean-field derivation of a porous-medium equation with fractional diffusion
Li Chen, Alexandra Holzinger, Ansgar Jüngel +1
A mean-field-type limit from stochastic moderately interacting many-particle systems with singular Riesz potential is performed, leading to nonlocal porous-medium equations in the…
Rigorous derivation of population cross-diffusion systems from moderately interacting particle systems
Li Chen, Esther S. Daus, Alexandra Holzinger +1
Population cross-diffusion systems of Shigesada-Kawasaki-Teramoto type are derived in a mean-field-type limit from stochastic, moderately interacting many-particle systems for mult…
Existence analysis of a degenerate diffusion system for heat-conducting fluids
Gianluca Favre, Ansgar Jüngel, Christian Schmeiser +1
The existence of global weak solutions to a parabolic energy-transport system in a bounded domain with no-flux boundary conditions is proved. The model can be derived in the diffus…
Analysis of Maxwell-Stefan systems for heat conducting fluid mixtures
Christoph Helmer, Ansgar Jüngel
The global-in-time existence of bounded weak solutions to the Maxwell-Stefan-Fourier equations in Fick-Onsager form is proved. The model consists of the mass balance equations for…
Existence analysis of a stationary compressible fluid model for heat-conducting and chemically reacting mixtures
Miroslav Buliček, Ansgar Jüngel, Milan Pokorný +1
The existence of large-data weak solutions to a steady compressible Navier-Stokes-Fourier system for chemically reacting fluid mixtures is proved. General free energies are conside…
Analysis of cross-diffusion systems for fluid mixtures driven by a pressure gradient
Pierre-Etienne Druet, Ansgar Jüngel
The convective transport in a multicomponent isothermal compressible fluid subject to the mass continuity equations is considered. The velocity is proportional to the negative pres…
Rigorous mean-field limit and cross diffusion
Li Chen, Esther S. Daus, Ansgar Jüngel
The mean-field limit in a weakly interacting stochastic many-particle system for multiple population species in the whole space is proved. The limiting system consists of cross-dif…
High-friction limits of Euler flows for multicomponent systems
Xiaokai Huo, Ansgar Jüngel, Athanasios E. Tzavaras
The high-friction limit in Euler-Korteweg equations for fluid mixtures is analyzed. The convergence of the solutions towards the zeroth-order limiting system and the first-order co…