Application of the Moser–Trudinger inequality in the construction of global solutions to a strongly degenerate migration model
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Publication:6095853
DOI10.1142/s1664360722500126OpenAlexW4308430057MaRDI QIDQ6095853
Publication date: 8 September 2023
Published in: Bulletin of Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s1664360722500126
chemotaxisdegenerate diffusioncross-diffusion system\textit{a priori} estimateo-flux initial-boundary value problem
Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items
Global boundedness in a chemotaxis system with signal-dependent motility and indirect signal consumption, Global generalized solvability in a strongly degenerate taxis-type parabolic system modeling migration-consumption interaction, 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, Global boundedness and large time behavior in a signal-dependent motility system with nonlinear signal consumption, Global solutions to a Keller-Segel-consumption system involving singularly signal-dependent motilities in domains of arbitrary dimension, Global dynamics for a chemotaxis consumption system with signal-dependent motility and logistic source
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