Efficient Numerical Schemes for a Two-Species Keller-Segel Model and Investigation of Its Blowup Phenomena in 3D

DOI10.1007/S10440-024-00647-0MaRDI QIDQ6492273

Publication date: 24 April 2024

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

PDEs in connection with fluid mechanics (35Q35) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

Unnamed Item
Finite-time blow-up in higher dimensional fully-parabolic chemotaxis system for two species
Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species.
Chemotactic collapse for the Keller-Segel model
Model for chemotaxis
Global solutions of some chemotaxis and angiogenesis system in high space dimension
A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
A user's guide to PDE models for chemotaxis
From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I
Blowup in higher dimensional two species chemotactic systems
Keller-Segel chemotaxis models: a review
Fully decoupled and energy stable BDF schemes for a class of Keller-Segel equations
A new class of implicit-explicit BDF\(k\) SAV schemes for general dissipative systems and their error analysis
Adaptive moving mesh upwind scheme for the two-species chemotaxis model
Facing low regularity in chemotaxis systems
Numerical study of two-species chemotaxis models
A flux-corrected finite element method for chemotaxis problems
A generalized SAV approach with relaxation for dissipative systems
Bound/positivity preserving SAV schemes for the Patlak-Keller-Segel-Navier-Stokes system
Sharp condition for blow-up and global existence in a two species chemotactic Keller–Segel system in ²
Random walk with persistence and external bias
Remarks on the blowup and global existence for a two species chemotactic Keller–Segel system in²
Multi-species Patlak-Keller-Segel system
Simultaneous finite time blow-up in a two-species model for chemotaxis
On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
A High Order Stochastic Asymptotic Preserving Scheme for Chemotaxis Kinetic Models with Random Inputs
Multi-components chemotactic system in the absence of conflicts
Point Dynamics in a Singular Limit of the Keller--Segel Model 1: Motion of the Concentration Regions
Point Dynamics in a Singular Limit of the Keller--Segel Model 2: Formation of the Concentration Regions
Bound/Positivity Preserving and Energy Stable Scalar auxiliary Variable Schemes for Dissipative Systems: Applications to Keller--Segel and Poisson--Nernst--Planck Equations
Unconditionally Bound Preserving and Energy Dissipative Schemes for a Class of Keller--Segel Equations
The Keller--Segel Model with Logistic Sensitivity Function and Small Diffusivity
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
Global existence for a parabolic chemotaxis model with prevention of overcrowding
Positivity-preserving and energy-dissipative finite difference schemes for the Fokker–Planck and Keller–Segel equations

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