Eventual smoothness and asymptotic stabilization in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with nutrient-supported proliferation and signal consumption

DOI10.1016/j.jde.2023.09.026zbMath1527.35115OpenAlexW4387321470MaRDI QIDQ6065738

Yifu Wang, Ji Liu

Publication date: 15 November 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2023.09.026

zbMATH Keywords

stabilizationchemotaxisgeneralized solutionNavier-Stokeseventual regularity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Cell movement (chemotaxis, etc.) (92C17) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Unnamed Item
• Unnamed Item
• Convergence rates of solutions for a two-dimensional chemotaxis-Navier-Stokes system
• Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
• Global large-data generalized solutions in a two-dimensional chemotaxis-Stokes system with singular sensitivity
• Asymptotic stability of traveling waves of a chemotaxis model with singular sensitivity
• Boundedness in a fully parabolic chemotaxis system with singular sensitivity
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Asymptotic dynamics on a singular chemotaxis system modeling onset of tumor angiogenesis
• Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
• Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities
• Global existence and asymptotic behavior to a chemotaxis-consumption system with singular sensitivity and logistic source
• Singular sensitivity in a Keller-Segel-fluid system
• Renormalized radial large-data solutions to the higher-dimensional Keller-Segel system with singular sensitivity and signal absorption
• Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
• Large-time behavior of a parabolic-parabolic chemotaxis model with logarithmic sensitivity in one dimension
• Unlimited growth in logarithmic Keller-Segel systems
• Large-time behavior in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with signal absorption
• A two-dimensional Keller-Segel-Navier-Stokes system with logarithmic sensitivity: generalized solutions and classical solutions
• Global boundedness to a chemotaxis system with singular sensitivity and logistic source
• A generalized solution concept for the Keller-Segel system with logarithmic sensitivity: global solvability for large nonradial data
• Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
• Initial-boundary value problems for a system of hyperbolic balance laws arising from chemotaxis
• Stabilization in a chemotaxis model for tumor invasion
• Global existence and boundedness of solutions to a chemotaxis system with singular sensitivity and logistic-type source
• Boundedness to a parabolic-parabolic singular chemotaxis system with logistic source
• A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity
• The two-dimensional Keller–Segel system with singular sensitivity and signal absorption: Global large-data solutions and their relaxation properties
• Large-Data Global Generalized Solutions in a Chemotaxis System with Tensor-Valued Sensitivities
• How far do chemotaxis-driven forces influence regularity in the Navier-Stokes system?
• Nonlinear Stability of Traveling Waves to a Hyperbolic-Parabolic System Modeling Chemotaxis
• NONLINEAR STABILITY OF LARGE AMPLITUDE VISCOUS SHOCK WAVES OF A GENERALIZED HYPERBOLIC–PARABOLIC SYSTEM ARISING IN CHEMOTAXIS
• Global solutions in a fully parabolic chemotaxis system with singular sensitivity
• Logarithmic Sobolev Inequalities
• Small-Mass Solutions in the Two-Dimensional Keller--Segel System Coupled to the Navier--Stokes Equations
• Asymptotic profile of a two-dimensional Chemotaxis–Navier–Stokes system with singular sensitivity and logistic source
• A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions
• Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
• Two New Functional Inequalities and Their Application to the Eventual Smoothness of Solutions to a Chemotaxis-Navier–Stokes System with Rotational Flux
• Chemotaxis(-fluid) systems with logarithmic sensitivity and slow consumption: global generalized solutions and eventual smoothness

This page was built for publication: Eventual smoothness and asymptotic stabilization in a two-dimensional logarithmic chemotaxis-Navier-Stokes system with nutrient-supported proliferation and signal consumption