Cover Image

Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Chen, Le, Ruau, Ian, Shen, Wenxian
Format:	Preprint
Published:	2025
Subjects:	Analysis of PDEs 35K45, 35M31, 35Q92, 92C17, 92D25
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

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

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)

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

Stability, bifurcation and spikes of stationary solutions in a chemotaxis system with singular sensitivity and logistic source
by: Kurt, Halil Ibrahim, et al.
Published: (2024)

Global existence of solutions to a nonlocal equation with degenerate anisotropic diffusion
by: Eckardt, Maria, et al.
Published: (2024)

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

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

Nonlocal logistics and nonlinear productions in an attraction-repulsion chemotaxis model: analysis of the global well-posedness
by: Fuentes, Rafael Díaz, et al.
Published: (2026)

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

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

Stability of constant equilibria in a Keller--Segel system with gradient dependent chemotactic sensitivity and sublinear signal production
by: Kohatsu, Shohei
Published: (2025)

Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions
by: Ahn, Jaewook, et al.
Published: (2024)

Boundary spike-layer solutions of the singular Keller-Segel system: existence, profiles and stability
by: Carrillo, Jose A., et al.
Published: (2024)

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

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

Upper bounds for the blow-up time of the 2-D parabolic-elliptic Patlak-Keller-Segel model of chemotaxis
by: Maheux, Patrick
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)

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

On a class of triangular cross-diffusion systems and its fast reaction approximation
by: Brocchieri, Elisabetta, et al.
Published: (2025)

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

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

Nonlinear Fisher information, corresponding functional inequalities and applications
by: Cieślak, Tomasz, et al.
Published: (2025)

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

A phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
by: Cavalleri, Giulia
Published: (2024)

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

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

A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production
by: Tao, Youshan, et al.
Published: (2024)

Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains
by: Lankeit, Johannes, et al.
Published: (2025)

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)

Global attractor for a Cahn-Hilliard-chemotaxis model with logistic degradation
by: Schimperna, Giulio, et al.
Published: (2025)

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)

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

Well-posedness of Keller-Segel systems on compact metric graphs
by: Shemtaga, Hewan, et al.
Published: (2024)

Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
by: Colli, Pierluigi, et al.
Published: (2024)

Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems
by: Chen, Xiuqing, 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)

A Hamilton-Jacobi approach to road-field reaction-diffusion models
by: Henderson, Christopher, et al.
Published: (2024)

From indirect to direct taxis by fast reaction limit
by: Tello, J. Ignacio, et al.
Published: (2025)

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