Convergence of a Time Discrete Scheme for a Chemotaxis-Consumption Model
DOI10.1137/22M1533049arXiv2207.01933OpenAlexW4387904370MaRDI QIDQ6069427
Francisco Guillén-González, André Luiz Corrêa Vianna Filho
Publication date: 14 November 2023
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.01933
Nonlinear parabolic equations (35K55) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51) Numerical analysis (65-XX)
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Cites Work
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- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Initiation of slime mold aggregation viewed as an instability
- Model for chemotaxis
- Compact sets in the space \(L^ p(0,T;B)\)
- Elliptic partial differential equations of second order
- A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes
- Comparison of two finite element schemes for a chemo-repulsion system with quadratic production
- Uniform in time solutions for a chemotaxis with potential consumption model
- Study of a chemo-repulsion model with quadratic production. II: Analysis of an unconditionally energy-stable fully discrete scheme
- Study of a chemo-repulsion model with quadratic production. I: Analysis of the continuous problem and time-discrete numerical schemes
- Random walk with persistence and external bias
- Numerical analysis for a chemotaxis-Navier–Stokes system
- Global existence and asymptotic behavior of solutions to a chemotaxis–fluid system on general bounded domains
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
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