Cover Image

Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Eckardt, Maria, Zhigun, Anna
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35K65 35Q92 45K05 92C17
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Local well-posedness for a novel nonlocal model for cell-cell adhesion via receptor binding
by: Rajendran, Mabel Lizzy, et al.
Published: (2024)

Global entropy solutions to a degenerate parabolic-parabolic chemotaxis system for flux-limited dispersal
by: Zhigun, Anna
Published: (2024)

Refining Hölder regularity theory in degenerate drift-diffusion equations
by: Black, Tobias
Published: (2024)

Modelling non-local cell-cell adhesion: a multiscale approach
by: Zhigun, Anna, et al.
Published: (2023)

Existence of Weak Solutions to a Constrained Aggregation-Diffusion-Reaction Model for Multiple Sclerosis
by: Fagioli, S., et al.
Published: (2026)

On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
by: Fagioli, S., et al.
Published: (2023)

On a PDE-ODE-PDE model for two interacting cell populations under the influence of an acidic environment and with nonlocal intra- and interspecific growth limitation
by: Eckardt, Maria, et al.
Published: (2024)

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

Global weak solutions to a doubly degenerate nutrient taxis system on the whole real line
by: Herrero-Hervás, Federico
Published: (2025)

Chemotaxis Models with Nonlinear/Porous Medium Diffusion, Consumption, and Logistic source on $\mathbb{R}^N$: I. Global Solvability and Boundedness
by: Hassan, Zulaihat, et al.
Published: (2025)

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

Two-species system with nonlocal interactions driven by Riesz potentials
by: Fagioli, Simone, et al.
Published: (2026)

Global weak solutions to a strongly degenerate haptotaxis model
by: Winkler, Michael, et al.
Published: (2016)

Absence of dead-core formations in chemotaxis systems with degenerate diffusion
by: Black, Tobias
Published: (2024)

Uniform $L^p$ estimates for solutions to the inhomogeneous 2D Navier-Stokes equations and application to a chemotaxis-fluid system with local sensing
by: Fuest, Mario, et al.
Published: (2024)

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence
by: Chen, Le, et al.
Published: (2025)

Widely degenerate anisotropic diffusion: local boundedness and semicontinuity
by: Ambrosio, Pasquale, et al.
Published: (2026)

A dimension-independent critical exponent in a nutrient taxis system
by: Winkler, Michael
Published: (2026)

Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier--Stokes system
by: Black, Tobias
Published: (2024)

Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions
by: Takeuchi, Taiki, et al.
Published: (2025)

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

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
by: Chen, Le, et al.
Published: (2026)

Maximal regularity and optimal control for a non-local Cahn-Hilliard tumour growth model
by: Fornoni, Matteo
Published: (2024)

Convergence of a finite-volume scheme for aggregation-diffusion equations with saturation
by: Gómez-Castro, David
Published: (2025)

Local boundedness for weak solutions to strongly degenerate orthotropic parabolic equations
by: Ambrosio, Pasquale, et al.
Published: (2025)

A Sharp Global Boundedness Result for Keller--Segel--(Navier--)Stokes Systems with Rapid Diffusion and Saturated Sensitivities
by: Le, Minh
Published: (2026)

Cahn-Hilliard equations with singular potential, reaction term and pure phase initial datum
by: Grasselli, Maurizio, et al.
Published: (2024)

Kinetic chemotaxis tumbling kernel determined from macroscopic quantities
by: Hellmuth, Kathrin, et al.
Published: (2022)

Upper estimates for the Hausdorff dimension of the temporal singular set in chemotaxis-fluid systems
by: Fuest, Mario
Published: (2024)

Chemotaxis and Reactions in Anomalous Diffusion Dynamics
by: De Andrade, Crystianne L., et al.
Published: (2024)

On the existence of global solutions for the 3D chemorepulsion system
by: Cieślak, Tomasz, et al.
Published: (2023)

Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
by: Ferreira, Lucas C. F., et al.
Published: (2023)

On a modified Cahn-Hilliard-Brinkman model with chemotaxis and nonlinear sensitivity
by: Schimperna, Giulio
Published: (2024)

Convergence to equilibrium for a degenerate three species reaction-diffusion system
by: Das, Saumyajit, et al.
Published: (2024)

The spreading of global solutions of chemotaxis systems with logistic source and consumption on $\mathbb{R}^{N}$
by: Hassan, Zulaihat, et al.
Published: (2024)

Weak global solvability of a doubly degenerate parabolic-elliptic nutrient taxis system
by: Herrero-Hervás, Federico
Published: (2026)

Stabilization of arbitrary structures in a three-dimensional doubly degenerate nutrient taxis system
by: De-Ji-Xiang-Mao, et al.
Published: (2026)

Generalized Doubly Parabolic Keller-Segel System with Fractional Diffusion
by: Bronzi, Anne Caroline, et al.
Published: (2025)

A cross-diffusion system with independent drifts and fast diffusion
by: Elbar, Charles, et al.
Published: (2025)

Global existence of weak solutions to a tissue regeneration model
by: Mohan, Nishith, et al.
Published: (2025)