The global solvability of the Cauchy problem for a multi-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization

DOI10.1063/5.0078000OpenAlexW4221086184MaRDI QIDQ5883888

Peng Fu, Ai Huang, Fu Yi Xu

Publication date: 17 March 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0078000

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Cell movement (chemotaxis, etc.) (92C17)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularization in Keller-Segel type systems and the De Giorgi method
• Reaction terms avoiding aggregation in slow fluids
• Blow-up prevention by quadratic degradation in a two-dimensional Keller-Segel-Navier-Stokes system
• A coupled chemotaxis-fluid model: global existence
• Large time periodic solutions to coupled chemotaxis-fluid models
• Initiation of slime mold aggregation viewed as an instability
• Model for chemotaxis
• Global solutions of some chemotaxis and angiogenesis system in high space dimension
• Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
• On the Cauchy problem for Boltzmann equations: Global existence and weak stability
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
• A chemotaxis model motivated by angiogenesis
• Existence of smooth solutions to coupled chemotaxis-fluid equations
• Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
• A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
• Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization
• Blow-up in a chemotaxis model without symmetry assumptions
• Bacterial swimming and oxygen transport near contact lines
• Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
• Random walk with persistence and external bias
• Global Existence and Temporal Decay in Keller-Segel Models Coupled to Fluid Equations
• Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
• How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
• Lower Bound of Mass in a Chemotactic Model with Advection and Absorbing Reaction
• Sharp decay estimates in a bioconvection model with quadratic degradation in bounded domains
• Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
• Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
• Global Solutions to the Coupled Chemotaxis-Fluid Equations
• Global boundedness and decay property of a three-dimensional Keller–Segel–Stokes system modeling coral fertilization
• Biomixing by Chemotaxis and Enhancement of Biological Reactions
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops

This page was built for publication: The global solvability of the Cauchy problem for a multi-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization