Chemotaxis-consumption interaction: Solvability and asymptotics in general high-dimensional domains
Fuente:
arXiv
Saved in:
| Main Authors: | Lankeit, Johannes, Winkler, Michael |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Global weak solutions to a strongly degenerate haptotaxis model
by: Winkler, Michael, et al.
Published: (2016)
by: Winkler, Michael, et al.
Published: (2016)
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)
by: Fuest, Mario, 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)
by: Tao, Youshan, et al.
Published: (2024)
Upper estimates for the Hausdorff dimension of the temporal singular set in chemotaxis-fluid systems
by: Fuest, Mario
Published: (2024)
by: Fuest, Mario
Published: (2024)
Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
by: Knosalla, Piotr, et al.
Published: (2024)
by: Knosalla, Piotr, et al.
Published: (2024)
Classical and generalized solutions of an alarm-taxis model
by: Fuest, Mario, et al.
Published: (2024)
by: Fuest, Mario, et al.
Published: (2024)
A critical nonlinearity for blow-up in a higher-dimensional chemotaxis system with indirect signal production
by: Zhao, Yiheng
Published: (2024)
by: Zhao, Yiheng
Published: (2024)
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)
by: Hassan, Zulaihat, et al.
Published: (2025)
Formation and Behavior of Dirac Singularities in the Parabolic-Elliptic Keller-Segel System in Dimensions $n\geq 3$
by: Flüchter, Gregor
Published: (2026)
by: Flüchter, Gregor
Published: (2026)
A dimension-independent critical exponent in a nutrient taxis system
by: Winkler, Michael
Published: (2026)
by: Winkler, Michael
Published: (2026)
Global solvability of a model for tuberculosis granuloma formation
by: Fuest, Mario, et al.
Published: (2024)
by: Fuest, Mario, et al.
Published: (2024)
Shrinking vs. expanding: the evolution of spatial support in degenerate Keller-Segel systems
by: Fuest, Mario, et al.
Published: (2025)
by: Fuest, Mario, et al.
Published: (2025)
Cahn-Hilliard equations with singular potential, reaction term and pure phase initial datum
by: Grasselli, Maurizio, et al.
Published: (2024)
by: Grasselli, Maurizio, et al.
Published: (2024)
Well-posedness and asymptotic limits for a degenerate Keller-Segel system with volume filling
by: Geltner, Noah, et al.
Published: (2026)
by: Geltner, Noah, et al.
Published: (2026)
Stationary states of a chemotaxis consumption system with singular sensitivity and inhomogeneous boundary conditions
by: Ahn, Jaewook, et al.
Published: (2024)
by: Ahn, Jaewook, et al.
Published: (2024)
On a modified Cahn-Hilliard-Brinkman model with chemotaxis and nonlinear sensitivity
by: Schimperna, Giulio
Published: (2024)
by: Schimperna, Giulio
Published: (2024)
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)
by: Black, Tobias
Published: (2024)
Unveiling Explicit Patterns: Exact Steady States and Stability in a Confined Chemotaxis Model
by: Huang, Yue, et al.
Published: (2025)
by: Huang, Yue, et al.
Published: (2025)
Conservation, convergence, and computation for evolving heterogeneous elastic wires
by: Dall'Acqua, Anna, et al.
Published: (2023)
by: Dall'Acqua, Anna, et al.
Published: (2023)
Multiphase cross-diffusion models for tissue structures: modeling, analysis, numerics
by: Jüngel, Ansgar, et al.
Published: (2026)
by: Jüngel, Ansgar, et al.
Published: (2026)
The spreading of global solutions of chemotaxis systems with logistic source and consumption on $\mathbb{R}^{N}$
by: Hassan, Zulaihat, et al.
Published: (2024)
by: Hassan, Zulaihat, et al.
Published: (2024)
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, II: Persistence and stabilization
by: Chen, Le, et al.
Published: (2026)
by: Chen, Le, et al.
Published: (2026)
Chemotaxis models with signal-dependent sensitivity and a logistic-type source, I: Boundedness and global existence
by: Chen, Le, et al.
Published: (2025)
by: Chen, Le, et al.
Published: (2025)
Chemotaxis and Reactions in Anomalous Diffusion Dynamics
by: De Andrade, Crystianne L., et al.
Published: (2024)
by: De Andrade, Crystianne L., et al.
Published: (2024)
Stability and uniqueness of bounded weak solutions to triangular degenerate cross-diffusion systems
by: Chen, Xiuqing, et al.
Published: (2025)
by: Chen, Xiuqing, et al.
Published: (2025)
On the existence of global solutions for the 3D chemorepulsion system
by: Cieślak, Tomasz, et al.
Published: (2023)
by: Cieślak, Tomasz, et al.
Published: (2023)
Mathematical analysis of a model-constrained inverse problem for the reconstruction of early states of prostate cancer growth
by: Beretta, Elena, et al.
Published: (2024)
by: Beretta, Elena, et al.
Published: (2024)
On inverse problems in predator-prey models
by: Li, Yuhan, et al.
Published: (2023)
by: Li, Yuhan, et al.
Published: (2023)
Large densities in a competitive two-species chemotaxis system in the non-symmetric case
by: Kohatsu, Shohei, et al.
Published: (2024)
by: Kohatsu, Shohei, et al.
Published: (2024)
Global attractor for a Cahn-Hilliard-chemotaxis model with logistic degradation
by: Schimperna, Giulio, et al.
Published: (2025)
by: Schimperna, Giulio, et al.
Published: (2025)
Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
by: Colli, Pierluigi, et al.
Published: (2024)
by: Colli, Pierluigi, et al.
Published: (2024)
A Hamilton-Jacobi approach to road-field reaction-diffusion models
by: Henderson, Christopher, et al.
Published: (2024)
by: Henderson, Christopher, et al.
Published: (2024)
A cross-diffusion system with independent drifts and fast diffusion
by: Elbar, Charles, et al.
Published: (2025)
by: Elbar, Charles, et al.
Published: (2025)
Finite-time blowup in a parabolic-parabolic-elliptic chemotaxis model involving indirect signal production
by: Mao, Xuan, et al.
Published: (2024)
by: Mao, Xuan, et al.
Published: (2024)
Global existence for a system without self-diffusion and different mobilities
by: Elbar, Charles
Published: (2026)
by: Elbar, Charles
Published: (2026)
Finite-time blow-up in fully parabolic quasilinear Keller-Segel systems with supercritical exponents
by: Cao, Xinru, et al.
Published: (2024)
by: Cao, Xinru, et al.
Published: (2024)
Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions
by: Takeuchi, Taiki, et al.
Published: (2025)
by: Takeuchi, Taiki, et al.
Published: (2025)
Strong solutions to the Keller-Segel-Navier-Stokes system in bounded Lipschitz domains
by: Hieber, Matthias, et al.
Published: (2025)
by: Hieber, Matthias, et al.
Published: (2025)
Stability of constant steady states of an attraction-repulsion chemotaxis system
by: Wakui, Hiroshi, et al.
Published: (2025)
by: Wakui, Hiroshi, et al.
Published: (2025)
From indirect to direct taxis by fast reaction limit
by: Tello, J. Ignacio, et al.
Published: (2025)
by: Tello, J. Ignacio, et al.
Published: (2025)
Similar Items
-
Global weak solutions to a strongly degenerate haptotaxis model
by: Winkler, Michael, et al.
Published: (2016) -
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) -
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) -
Upper estimates for the Hausdorff dimension of the temporal singular set in chemotaxis-fluid systems
by: Fuest, Mario
Published: (2024) -
Asymptotics of a chemotaxis-consumption-growth model with nonzero Dirichlet conditions
by: Knosalla, Piotr, et al.
Published: (2024)