Global classical solutions for chemotaxis‐fluid systems in two dimensions

DOI10.1002/mma.6838zbMath1470.35006OpenAlexW3082131419MaRDI QIDQ5003958

Changwook Yoon, Jaewook Ahn, Kyungkeun Kang

Publication date: 30 July 2021

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.6838

zbMATH Keywords

no-slip boundary conditionno-flux boundary conditionsuper-linear consumption rate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

Related Items (9)

Local well-posedness in the Wasserstein space for a chemotaxis model coupled to incompressible fluid flows ⋮ Chemotaxis and cross-diffusion models in complex environments: Models and analytic problems toward a multiscale vision ⋮ Global weak solutions to a chemotaxis-Navier-Stokes system in \(\mathbb{R}^3 \) ⋮ Global classical solvability and stabilization in a two-dimensional chemotaxis–fluid system with sub-logarithmic sensitivity ⋮ Global well-posedness for a two-dimensional Keller-Segel-Euler system of consumption type ⋮ Depleting the signal: Analysis of chemotaxis‐consumption models—A survey ⋮ Global solutions for chemotaxis-fluid systems with singular chemotactic sensitivity ⋮ Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities ⋮ Well-posedness and singularity formation for inviscid Keller-Segel-fluid system of consumption type

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