Suppressing blow-up by gradient-dependent flux limitation in a planar Keller-Segel-Navier-Stokes system
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Publication:2026494
DOI10.1007/s00033-021-01508-8zbMath1466.35060OpenAlexW3138318522MaRDI QIDQ2026494
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-021-01508-8
Navier-Stokes equations (35Q30) Cell movement (chemotaxis, etc.) (92C17) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
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Cites Work
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- Suppression of chemotactic explosion by mixing
- Spatio-temporal models of lymphangiogenesis in wound healing
- A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
- A mathematical model for lymphangiogenesis in normal and diabetic wounds
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- Geometric theory of semilinear parabolic equations
- The Stokes operator in \(L_ R\) spaces
- A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
- Suppressing chemotactic blow-up through a fast splitting scenario on the plane
- On a parabolic-elliptic system with gradient dependent chemotactic coefficient
- Does fluid interaction affect regularity in the three-dimensional Keller-Segel system with saturated sensitivity?
- Mathematical analysis of two competing cancer cell migration mechanisms driven by interstitial fluid flow
- Boundedness in a three-dimensional Keller-Segel-Stokes system with subcritical sensitivity
- New critical exponents in a fully parabolic quasilinear Keller-Segel system and applications to volume filling models
- Fluid interaction does not affect the critical exponent in a three-dimensional Keller-Segel-Stokes model
- Boundedness and global existence in the higher-dimensional parabolic -- parabolic chemotaxis system with/without growth source
- Boundedness in quasilinear Keller-Segel systems of parabolic-parabolic type on non-convex bounded domains
- A quasi-linear parabolic system of chemotaxis
- Stabilization in a chemotaxis model for tumor invasion
- Blow-up in a chemotaxis model without symmetry assumptions
- Bacterial swimming and oxygen transport near contact lines
- Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
- MULTISCALE BIOLOGICAL TISSUE MODELS AND FLUX-LIMITED CHEMOTAXIS FOR MULTICELLULAR GROWING SYSTEMS
- Does a ‘volume-filling effect’ always prevent chemotactic collapse?
- Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
- Stiff-response-induced instability for chemotactic bacteria and flux-limited Keller–Segel equation
- Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
- Biomixing by Chemotaxis and Enhancement of Biological Reactions
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
- Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
- A unifying approach toward boundedness in Keller–Segel type cross‐diffusion systems via conditional L∞$L^\infty$ estimates for taxis gradients
