Cover Image

A review of compactness methods for cross-diffusion systems seen as Wasserstein gradient flows

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Dus, Mathias, Jüngel, Ansgar
Format:	Preprint
Published:	2026
Subjects:	Analysis of PDEs 35K51, 35A15, 76T99
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Weak-strong uniqueness for general cross-diffusion systems with volume filling
by: Heitzinger, Maria, et al.
Published: (2025)

Continuum of coupled Wasserstein gradient flows
by: Cancès, Clément, et al.
Published: (2024)

Multiphase cross-diffusion models for tissue structures: modeling, analysis, numerics
by: Jüngel, Ansgar, et al.
Published: (2026)

Analysis of a Poisson-Nernst-Planck cross-diffusion system with steric effects
by: Hirvonen, Peter, et al.
Published: (2024)

Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems
by: Chen, Xiuqing, et al.
Published: (2025)

Existence analysis of a three-species memristor drift-diffusion system coupled to electric networks
by: Jüngel, Ansgar, et al.
Published: (2025)

Existence and convergence of the Beris-Edwards system with general Landau-de Gennes energy
by: Feng, Zhewen, et al.
Published: (2021)

Charge transport systems with Fermi-Dirac statistics for memristors
by: Herda, Maxime, et al.
Published: (2024)

Cross-diffusion limits in multispecies kinetic models
by: Jüngel, Ansgar, et al.
Published: (2025)

Solitary waves for dispersive equations with Coifman-Meyer nonlinearities
by: Marstrander, Johanna Ulvedal
Published: (2023)

Global weak solutions to a fractional Cahn-Hilliard cross-diffusion system in lymphangiogenesis
by: Jüngel, Ansgar, et al.
Published: (2024)

Existence of global weak solutions to a Cahn-Hilliard cross-diffusion system in lymphangiogenesis
by: Jüngel, Ansgar, et al.
Published: (2024)

A nonlocal Busenberg-Travis cross-diffusion system with nonlinear Brinkman law
by: Hirvonen, Peter, et al.
Published: (2026)

Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
by: Geltner, Noah, et al.
Published: (2026)

Structure-preserving Local Discontinuous Galerkin method for nonlinear cross-diffusion systems
by: Gómez, Sergio, et al.
Published: (2024)

Maximal dissipation and well-posedness of the Euler system of gas dynamics
by: Feireisl, Eduard, et al.
Published: (2025)

Chemotaxis guidance of random walkers modeling self-wiring of neural networks
by: Geltner, Noah, et al.
Published: (2025)

A nonlocal regularization of a generalized Busenberg-Travis cross-diffusion system
by: Jüngel, Ansgar, et al.
Published: (2024)

Energy-variational solutions for geodynamical two-phase flows -- From logarithmic to double-obstacle potentials by variational convergence
by: Cheng, Fan, et al.
Published: (2026)

Vlasov equation coupled with non-Newtonian fluids with discontinuous-in-time stress tensor
by: Woźnicki, Jakub
Published: (2025)

Nonisothermal Richards flow in porous media with cross diffusion
by: Daus, Esther S., et al.
Published: (2021)

Separation Property for the Nonlocal Cahn Hilliard Brinkman System with Singular Potential and Degenerate Mobility
by: Dharmatti, Sheetal, et al.
Published: (2025)

Chemotaxis compressible Navier-Stokes equations with density-dependent viscosity modeling vascular network formation
by: Jüngel, Ansgar, et al.
Published: (2026)

Flow reversal of the Stokes system with localized boundary data in the half space
by: Chang, Tongkeun, et al.
Published: (2026)

Existence of variational solutions to doubly nonlinear systems in nondecreasing domains
by: Schätzler, Leah, et al.
Published: (2025)

Existence and selection of solutions in the energy-variational framework with applications in fluid dynamics
by: Eiter, Thomas, et al.
Published: (2026)

Hölder regularity of doubly nonlinear nonlocal quasilinear parabolic equations in some mixed singular-degenerate regime
by: Adimurthi, Karthik, et al.
Published: (2025)

Nonlinear stability of compressible vortex sheets in three-dimensional elastodynamics
by: Chen, Robin Ming, et al.
Published: (2025)

Existence and compactness of global weak solutions of three-dimensional axisymmetric Ericksen-Leslie system
by: Kortum, Joshua, et al.
Published: (2024)

Nematic liquid crystals: Ericksen-Leslie theory with general stress tensors
by: Hieber, Matthias, et al.
Published: (2025)

Interior and boundary mixed norm derivative estimates for nonstationary Stokes equations
by: Dong, Hongjie, et al.
Published: (2023)

Nonstationary Stokes equations on a domain with curved boundary under slip boundary conditions
by: Dong, Hongjie, et al.
Published: (2024)

First isola of modulational instability of Stokes waves in deep water
by: Berti, Massimiliano, et al.
Published: (2024)

Global strong solutions for non-isothermal compressible nematic liquid crystal flows under a scaling-invariant smallness condition
by: Xu, Lin, et al.
Published: (2025)

Interaction of liquid crystals with a rigid body
by: Binz, Tim, et al.
Published: (2023)

Local Hölder regularity for nonlocal parabolic $p$-Laplace equations
by: Adimurthi, Karthik, et al.
Published: (2022)

Global weak solutions to a diffuse-interface model for quasi-incompressible two-phase flows with unmatched densities and singular potential
by: Fei, Mingwen, et al.
Published: (2026)

Two phase micropolar fluid flow with unmatched densities modeled by Navier--Stokes--Cahn--Hilliard systems: Local strong well-posedness and consistency estimates
by: Chan, Kin Shing, et al.
Published: (2025)

Regularity and Optimal Control of Non Local Cahn Hilliard Brinkman system with Singular Potential
by: Dharmatti, Sheetal, et al.
Published: (2023)

Long-time asymptotics and regularity estimates for weak solutions to a doubly degenerate thin-film equation in the Taylor-Couette setting
by: Lienstromberg, Christina, et al.
Published: (2022)