Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization

DOI10.1088/1361-6544/ab159bzbMath1419.35109arXiv1811.10896OpenAlexW3102846629WikidataQ127465164 ScholiaQ127465164MaRDI QIDQ5229271

Yifu Wang, Jing Li, Peter Y. H. Pang

Publication date: 14 August 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.10896

zbMATH Keywords

global boundednessdecay propertyKeller-Segel-Stokestensor-value sensitivity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Related Items (18)

The global solvability of the Cauchy problem for a multi-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization ⋮ Existence and uniqueness of mild solutions to the chemotaxis-fluid system modeling coral fertilization ⋮ Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Asymptotic behavior of classical solutions of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Large time behavior in a three-dimensional degenerate chemotaxis-Stokes system modeling coral fertilization ⋮ On a three‐dimensional chemotaxis‐Stokes system with nonlinear sensitivity modeling coral fertilization ⋮ A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Unnamed Item ⋮ Influence of flux limitation on large time behavior in a three-dimensional chemotaxis-Stokes system modeling coral fertilization ⋮ Large time behavior in a chemotaxis-Stokes system modeling coral fertilization with arbitrarily slow porous medium diffusion ⋮ Decay profile for the chemotactic model with advection and quadratic degradation in bounded domains ⋮ Asymptotic behavior in a doubly tactic resource consumption model with proliferation ⋮ Global solvability and large-time behavior to a three-dimensional chemotaxis-Stokes system modeling coral fertilization ⋮ To what extent is cross-diffusion controllable in a two-dimensional chemotaxis-(Navier-)Stokes system modeling coral fertilization ⋮ Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization ⋮ Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization ⋮ Global weak solutions in a three-dimensional coral fertilization model involving the Navier-Stokes equations and arbitrary porous medium type diffusion ⋮ Asymptotic behavior for solutions to an oncolytic virotherapy model involving triply haptotactic terms

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