Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations

DOI10.1515/jnma-2023-0016zbMATH Open1545.65358MaRDI QIDQ6564573

Could not fetch data.

Publication date: 1 July 2024

Published in: Journal of Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsblowupKeller-Segel equationsshock detectorstabilized finite-element approximationlower and a priori bounds

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) A priori estimates in context of PDEs (35B45) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• A second-order positivity preserving central-upwind scheme for chemotaxis and haptotaxis models
• Local discontinuous Galerkin method for the Keller-Segel chemotaxis model
• High-order positivity-preserving hybrid finite-volume-finite-difference methods for chemotaxis systems
• Parabolic system of chemotaxis: Blowup in a finite and the infinite time.
• A positivity-preserving finite element method for chemotaxis problems in 3D
• Error analysis of a conservative finite-element approximation for the Keller-Segel system of chemotaxis
• Monotonicity-preserving finite element schemes based on differentiable nonlinear stabilization
• From a cell model with active motion to a Hele-Shaw-like system: a numerical approach
• A positivity preserving moving mesh finite element method for the Keller-Segel chemotaxis model
• A flux-corrected finite element method for chemotaxis problems
• Analysis of a fully discrete approximation for the classical Keller-Segel model: lower and \textit{a priori} bounds
• Blow-up in a chemotaxis model without symmetry assumptions
• Navier-Stokes equations. Theory and numerical analysis. Repr. with corr
• Two-grid finite element schemes for the transient Navier-Stokes problem
• Bacterial swimming and oxygen transport near contact lines
• Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
• Finite Element Interpolation of Nonsmooth Functions Satisfying Boundary Conditions
• A Priori Error Estimates for Finite Element Methods Based on Discontinuous Approximation Spaces for Elliptic Problems
• Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
• Biomixing by Chemotaxis and Enhancement of Biological Reactions
• The Mathematical Theory of Finite Element Methods
• Bound-preserving finite element approximations of the Keller–Segel equations

This page was built for publication: Exploring numerical blow-up phenomena for the Keller-Segel-Navier-Stokes equations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6564573)