Large time periodic solutions to coupled chemotaxis-fluid models

DOI10.1007/s00033-017-0882-9zbMath1381.92011OpenAlexW2767911852MaRDI QIDQ680174

Chunhua Jin

Publication date: 22 January 2018

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-017-0882-9

zbMATH Keywords

classical solutionchemotaxis-Stokes systemchemotaxis-Navier-Stokes systemlarge periodic solution

Mathematics Subject Classification ID

Periodic solutions of integral equations (45M15) Periodic solutions to PDEs (35B10) Cell movement (chemotaxis, etc.) (92C17) Second-order parabolic systems (35K40)

Related Items (19)

Bounded weak and strong time periodic solutions to a three-dimensional chemotaxis-Stokes model with porous medium diffusion ⋮ The global solvability of the Cauchy problem for a multi-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization ⋮ Global well-posedness to a chemotaxis-Stokes system ⋮ Global boundedness of solutions to a chemotaxis-fluid system with singular sensitivity and logistic source ⋮ Strong time-periodic solutions to chemotaxis-Navier-Stokes equations on bounded domains ⋮ Global existence of weak solutions for the 2D incompressible Keller-Segel-Navier-Stokes equations with partial diffusion ⋮ Time periodic solution to a coupled chemotaxis-fluid model with porous medium diffusion ⋮ On the stability to Keller-Segel system coupled with Navier-Stokes equations in Besov-Morrey spaces ⋮ Chemotaxis driven formation of time periodic pattern and steady state pattern ⋮ On the global well‐posedness for the 2D incompressible Keller‐Segel‐Navier‐Stokes equations ⋮ On the global well-posedness for the 3D axisymmetric incompressible Keller-Segel-Navier-Stokes equations ⋮ Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations ⋮ Time periodic solutions for a two-species chemotaxis-Navier-Stokes system ⋮ Global classical solutions for the 2D four-component chemotaxis-Navier-Stokes equations ⋮ Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions ⋮ Optimal control for the coupled chemotaxis-fluid models in two space dimensions ⋮ Large time behavior in a fractional chemotaxis-Navier-Stokes system with logistic source ⋮ Time periodic solution to a two-species chemotaxis-Stokes system with \(p\)-Laplacian diffusion ⋮ Global well-posedness for the 3D incompressible Keller-Segel-Navier-Stokes equations

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