A Li-Yau and Aronson-Bénilan approach for the Keller-Segel system with critical exponent
Fuente:
arXiv
Saved in:
| Main Authors: | Elbar, Charles, Fernández-Jiménez, Alejandro, Santambrogio, Filippo |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Sobolev estimates for the Keller-Segel system and applications to the JKO scheme
by: Elbar, Charles
Published: (2024)
by: Elbar, Charles
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)
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)
Boundary spike-layer solutions of the singular Keller-Segel system: existence, profiles and stability
by: Carrillo, Jose A., et al.
Published: (2024)
by: Carrillo, Jose A., et al.
Published: (2024)
Keller-Segel-Navier-Stokes systems involving general sensitivities with Signal-Dependent Power-Law Decay
by: Ahn, Jaewook, et al.
Published: (2026)
by: Ahn, Jaewook, et al.
Published: (2026)
On a Keller--Segel System with Density-Suppressed Motility, Indirect Signal Production, and External Sources
by: Sun, Yujiao, et al.
Published: (2026)
by: Sun, Yujiao, et al.
Published: (2026)
Infinitely many self-similar blow-up profiles for the Keller-Segel system in dimensions 3 to 9
by: Nguyen, Van Tien, et al.
Published: (2025)
by: Nguyen, Van Tien, et al.
Published: (2025)
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)
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)
Global existence for a system without self-diffusion and different mobilities
by: Elbar, Charles
Published: (2026)
by: Elbar, Charles
Published: (2026)
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)
Global stability in a negative chemotaxis system with chemically induced lethality
by: Herrero-Hervás, Federico, et al.
Published: (2026)
by: Herrero-Hervás, Federico, et al.
Published: (2026)
Weak global solvability of a doubly degenerate parabolic-elliptic nutrient taxis system
by: Herrero-Hervás, Federico
Published: (2026)
by: Herrero-Hervás, Federico
Published: (2026)
Global existence of weak solutions to a tissue regeneration model
by: Mohan, Nishith, et al.
Published: (2025)
by: Mohan, Nishith, et al.
Published: (2025)
Global existence for the fully parabolic Keller--Segel system with critical mass on the plane
by: Hosono, Tatsuya
Published: (2026)
by: Hosono, Tatsuya
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)
Kinks and solitons in linear and nonlinear-diffusion Keller-Segel type models with logarithmic sensitivity
by: Campos, Juan, et al.
Published: (2021)
by: Campos, Juan, et al.
Published: (2021)
Waterborne epidemics via a new coupled SIR--Pathogen--Navier-Stokes system: Mathematical modeling, nonlinear analysis and numerical simulation
by: Mehdaoui, Mohamed, et al.
Published: (2025)
by: Mehdaoui, Mohamed, et al.
Published: (2025)
The Aronson-Bénilan estimate for a Lagrangian particle discretization of the Porous Medium Equation
by: Di Francesco, Marco, et al.
Published: (2026)
by: Di Francesco, Marco, et al.
Published: (2026)
Stability of constant equilibria in a Keller--Segel system with gradient dependent chemotactic sensitivity and sublinear signal production
by: Kohatsu, Shohei
Published: (2025)
by: Kohatsu, Shohei
Published: (2025)
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)
by: Eckardt, Maria, et al.
Published: (2024)
Generalized Doubly Parabolic Keller-Segel System with Fractional Diffusion
by: Bronzi, Anne Caroline, et al.
Published: (2025)
by: Bronzi, Anne Caroline, et al.
Published: (2025)
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 phase field model of Cahn-Hilliard type for tumour growth with mechanical effects and damage
by: Cavalleri, Giulia
Published: (2024)
by: Cavalleri, Giulia
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)
by: Hassan, Zulaihat, et al.
Published: (2024)
Long time dynamics of the Nernst-Planck-Darcy System on $\mathbb{R}^3$
by: Abdo, Elie, et al.
Published: (2026)
by: Abdo, Elie, et al.
Published: (2026)
Optimal control of treatment in a free boundary problem modeling multilayered tumor growth
by: Zhao, Xinyue Evelyn, et al.
Published: (2024)
by: Zhao, Xinyue Evelyn, et al.
Published: (2024)
Well-Posedness for Fractional Reaction-Diffusion Systems with Mass Dissipation in $\mathbb R^N$
by: Nguyen, Phuoc-Tai, et al.
Published: (2025)
by: Nguyen, Phuoc-Tai, et al.
Published: (2025)
Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
by: Hurm, Christoph, et al.
Published: (2024)
by: Hurm, Christoph, et al.
Published: (2024)
Global weak solutions to a doubly degenerate nutrient taxis system on the whole real line
by: Herrero-Hervás, Federico
Published: (2025)
by: Herrero-Hervás, Federico
Published: (2025)
Stationary $p$-harmonic maps approaching planar singular harmonic maps to the circle
by: Badran, Marco, et al.
Published: (2025)
by: Badran, Marco, et al.
Published: (2025)
Optimal Control of General Nonlocal Epidemic Models with Age and Space Structure
by: Azmi, Behzad, et al.
Published: (2025)
by: Azmi, Behzad, et al.
Published: (2025)
On a chemotaxis model with nonlinear diffusion modelling multiple sclerosis
by: Fagioli, S., et al.
Published: (2023)
by: Fagioli, S., et al.
Published: (2023)
A dimension-independent critical exponent in a nutrient taxis system
by: Winkler, Michael
Published: (2026)
by: Winkler, Michael
Published: (2026)
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)
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)
Upper bounds for the blow-up time of the 2-D parabolic-elliptic Patlak-Keller-Segel model of chemotaxis
by: Maheux, Patrick
Published: (2023)
by: Maheux, Patrick
Published: (2023)
Convergence to equilibrium for a degenerate three species reaction-diffusion system
by: Das, Saumyajit, et al.
Published: (2024)
by: Das, Saumyajit, et al.
Published: (2024)
Boundary layer effects induced by the fluid in a chemotaxis-Navier-Stokes system
by: Hou, Qianqian
Published: (2025)
by: Hou, Qianqian
Published: (2025)
Chemotaxis compressible Navier-Stokes equations with density-dependent viscosity modeling vascular network formation
by: Jüngel, Ansgar, et al.
Published: (2026)
by: Jüngel, Ansgar, et al.
Published: (2026)
Similar Items
-
Sobolev estimates for the Keller-Segel system and applications to the JKO scheme
by: Elbar, Charles
Published: (2024) -
A cross-diffusion system with independent drifts and fast diffusion
by: Elbar, Charles, et al.
Published: (2025) -
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) -
Boundary spike-layer solutions of the singular Keller-Segel system: existence, profiles and stability
by: Carrillo, Jose A., et al.
Published: (2024) -
Keller-Segel-Navier-Stokes systems involving general sensitivities with Signal-Dependent Power-Law Decay
by: Ahn, Jaewook, et al.
Published: (2026)