Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity
From MaRDI portal
Publication:6642467
DOI10.3934/dcdsb.2024112MaRDI QIDQ6642467
Daniel P. A. Lima, Lucas C. F. Ferreira
Publication date: 24 November 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) PDEs with measure (35R06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence, uniqueness and Lipschitz dependence for Patlak-Keller-Segel and Navier-Stokes in \(\mathbb R^2\) with measure-valued initial data
- Boundedness in a chemotaxis model with oxygen consumption by bacteria
- A coupled chemotaxis-fluid model: global existence
- Model for chemotaxis
- The parabolic-parabolic Keller-Segel model in \(\mathbb R^2\)
- Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
- Two-dimensional Navier-Stokes flow with measures as initial vorticity
- Steady-state distribution of bacteria chemotactic toward oxygen
- The Navier-Stokes equation for an incompressible fluid in \(\mathbb{R}^ 2\) with a measure as the initial vorticity
- The development of concentration gradients in a suspension of chemotactic bacteria
- From 1970 until present: the Keller-Segel model in chemotaxis and its consequences. II
- Global existence and blowup of solutions to a chemotaxis system.
- Existence of smooth solutions to coupled chemotaxis-fluid equations
- Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system
- Stabilization in a two-dimensional chemotaxis-Navier-Stokes system
- Bacterial swimming and oxygen transport near contact lines
- 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
- Existence and asymptotic behaviour for the parabolic–parabolic Keller–Segel system with singular data
- Stability of Some Mechanisms of Chemotactic Aggregation
- Infinite time aggregation for the critical Patlak‐Keller‐Segel model in ℝ2
- The Keller-Segel system of parabolic-parabolic type with initial data in weak $L^{n/2}(\mathbb{R}^n)$ and its application to self-similar solutions
- COUPLED CHEMOTAXIS FLUID MODEL
- Hydrodynamic Phenomena in Suspensions of Swimming Microorganisms
- A regularity condition and temporal asymptotics for chemotaxis-fluid equations
- The Cauchy problem and self-similar solutions for a nonlinear parabolic equation
- Global Solutions to the Coupled Chemotaxis-Fluid Equations
- Modern Fourier Analysis
- Global well-posedness and asymptotic behavior in Besov-Morrey spaces for chemotaxis-Navier-Stokes fluids
- Strong solutions of the Navier-Stokes equation in Morrey spaces
- Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
- Chemotactic collapse in a parabolic system of mathematical biology
This page was built for publication: Global solutions for a 2D chemotaxis-fluid system with large measures as initial density and vorticity