Global solvability of a two-species chemotaxis-fluid system with Lotka-Volterra type competitive kinetics
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Publication:6551366
DOI10.1142/s0218202524500167zbMath1541.92023WikidataQ129663771 ScholiaQ129663771MaRDI QIDQ6551366
Publication date: 6 June 2024
Published in: M\(^3\)AS. Mathematical Models \& Methods in Applied Sciences (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)
Cites Work
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- Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source
- Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
- Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
- Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species
- Convergence of global and bounded solutions of a two-species chemotaxis model with a logistic source
- Boundedness and stabilization in a two-dimensional two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Exponential attractor for a chemotaxis-growth system of equations
- Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
- Attractiveness of constant states in logistic-type Keller-Segel systems involving subquadratic growth restrictions
- Initiation of slime mold aggregation viewed as an instability
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- A user's guide to PDE models for chemotaxis
- Geometric theory of semilinear parabolic equations
- On a fully parabolic chemotaxis system with Lotka-Volterra competitive kinetics
- Boundedness and asymptotic stability of solutions to a two-species chemotaxis system with consumption of chemoattractant
- Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
- Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?
- Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
- Global existence and asymptotic behavior in a two-species chemotaxis system with logistic source
- Global solvability in a two-species chemotaxis system with signal production
- Analysis of reaction-diffusion models with the taxis mechanism
- A new result for global solvability to a two-dimensional attraction-repulsion Navier-Stokes system with consumption of chemoattractant
- Stabilization in a two dimensional two-species aerotaxis-Navier-Stokes system
- Competitive exclusion in a two-species chemotaxis model
- The role of superlinear damping in the construction of solutions to drift-diffusion problems with initial data in \(L^{1}\)
- Global boundedness and asymptotic behavior in a two-species chemotaxis-competition system with two signals
- Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
- Global weak solutions for the three-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Convergence rates of solutions for a two-species chemotaxis-Navier-Stokes system with competitive kinetics
- Global weak solutions to a chemotaxis-Navier-Stokes system in \(\mathbb{R}^3 \)
- On the strongly competitive case in a fully parabolic two-species chemotaxis system with Lotka-Volterra competitive kinetics
- From a multiscale derivation of nonlinear cross-diffusion models to Keller–Segel models in a Navier–Stokes fluid
- Long-term behaviour in a chemotaxis-fluid system with logistic source
- Bacterial swimming and oxygen transport near contact lines
- Stabilization in a two-species chemotaxis system with a logistic source
- How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
- Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
- Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics
- On the weakly competitive case in a two-species chemotaxis model
- Global existence and asymptotic behavior of classical solutions for a 3D two‐species chemotaxis‐Stokes system with competitive kinetics
- Sub-logistic source can prevent blow-up in the 2D minimal Keller-Segel chemotaxis system
- Multi-components chemotactic system in the absence of conflicts
- Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
- Global solvability in a two-species chemotaxis system with logistic source
- Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision
- Global generalized solutions for a two-species chemotaxis system with tensor-valued sensitivity and logistic source
- Global solvability and eventual smoothness in a chemotaxis-fluid system with weak logistic-type degradation
- Global solvability and asymptotic behavior in a two-species chemotaxis system with Lotka–Volterra competitive kinetics
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- A Chemotaxis System with Logistic Source
- EQUILIBRIUM OF TWO POPULATIONS SUBJECT TO CHEMOTAXIS
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
- $L^1$ solutions to parabolic Keller-Segel systems involving arbitrary superlinear degradation
- Does Leray's structure theorem withstand buoyancy-driven chemotaxis-fluid interaction?
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