Global solvability for an indirect consumption chemotaxis system with signal-dependent motility
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Publication:6540971
DOI10.1016/j.aml.2024.109035zbMATH Open1540.35247MaRDI QIDQ6540971
Publication date: 17 May 2024
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity
- 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 boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility
- Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension
- How far do indirect signal production mechanisms regularize the three-dimensional Keller-Segel-Stokes system?
- Critical mass on the Keller-Segel system with signal-dependent motility
- Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
- Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption
- Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
- Relaxation in a Keller-Segel-consumption system involving signal-dependent motilities
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