Roles of density-related diffusion and signal-dependent motilities in a chemotaxis-consumption system
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Publication:6588096
DOI10.1007/s00526-024-02802-9zbMATH Open1546.35024MaRDI QIDQ6588096
Publication date: 15 August 2024
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
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- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
- Hölder estimates for local solutions of some doubly nonlinear degenerate parabolic equations
- Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities
- Dynamic theory of quasilinear parabolic systems. III: Global existence
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
- Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility
- Asymptotic behavior of a quasilinear Keller-Segel system with signal-suppressed motility
- Nonnegative solutions to a doubly degenerate nutrient taxis system
- Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
- Weak solutions to triangular cross diffusion systems modeling chemotaxis with local sensing
- Large-data global existence in a higher-dimensional doubly degenerate nutrient system
- Global existence and infinite time blow-up of classical solutions to chemotaxis systems of local sensing in higher dimensions
- Global existence for a kinetic model of pattern formation with density-suppressed motilities
- Large time behavior of solutions for density-suppressed motility system in higher dimensions
- Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration-consumption interaction
- Chemotaxis-Stokes interaction with very weak diffusion enhancement: blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings
- Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
- Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth
- Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing
- Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
- An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
- Delayed blow‐up for chemotaxis models with local sensing
- Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities?
- Does spatial homogeneity ultimately prevail in nutrient taxis systems? A paradigm for structure support by rapid diffusion decay in an autonomous parabolic flow
- Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
- Boundedness in a taxis-consumption system involving signal-dependent motilities and concurrent enhancement of density-determined diffusion and cross-diffusion
- Stabilization despite pervasive strong cross-degeneracies in a nonlinear diffusion model for migration–consumption interaction
- Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
- A quantitative strong parabolic maximum principle and application to a taxis-type migration-consumption model involving signal-dependent degenerate diffusion
- Refined regularity analysis for a Keller-Segel-consumption system involving signal-dependent motilities
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