Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Eckardt, Maria, Surulescu, Christina
Format:	Preprint
Published:	2024
Subjects:	Analysis of PDEs 35K20, 35K57, 35Q92, 92C17
Online Access:	Acceder al recurso
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)

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

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

Global existence of weak solutions to a cell migration and (de)differentiation model with double haptotaxis in the context of tissue regeneration
by: Mohan, Nishith, et al.
Published: (2025)

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

Mathematical modeling and analysis of a tumor invasion problem with angiogenesis and taxis cascade
by: Surulescu, Christina, et al.
Published: (2024)

Does indirectness of signal production reduce the explosion-supporting potential in chemotaxis-haptotaxis systems? Global classical solvability in a class of models for cancer invasion (and more)
by: Surulescu, Christina, et al.
Published: (2019)

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

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

Chemotaxis-inspired PDE model for airborne infectious disease transmission: analysis and simulations
by: Colli, Pierluigi, 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)

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)

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

Asymptotics and periodic dynamics in a negative chemotaxis system with cell lethality
by: Herrero-Hervás, Federico, et al.
Published: (2025)

Boundary layer effects induced by the fluid in a chemotaxis-Navier-Stokes system
by: Hou, Qianqian
Published: (2025)

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

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

Global stability in a negative chemotaxis system with chemically induced lethality
by: Herrero-Hervás, Federico, et al.
Published: (2026)

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)

Biomechanical Effects on Traveling Waves at the Interface of Cell Populations
by: Campos, Juan, et al.
Published: (2024)

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

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

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

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

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

A Hamilton-Jacobi approach to road-field reaction-diffusion models
by: Henderson, Christopher, 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)

Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
by: Hurm, Christoph, et al.
Published: (2024)

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

Dynamics of a coupled nonlocal PDE-ODE system with spatial memory: well-posedness, stability, and bifurcation analysis
by: Salmaniw, Yurij, et al.
Published: (2025)

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

Long time dynamics of the Nernst-Planck-Darcy System on $\mathbb{R}^3$
by: Abdo, Elie, 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)

On a Brain Tumor Growth Model with Lactate Metabolism, Viscoelastic Effects, and Tissue Damage
by: Cavalleri, Giulia, et al.
Published: (2025)

Stability of constant steady states of an attraction-repulsion chemotaxis system
by: Wakui, Hiroshi, et al.
Published: (2025)

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

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