Global classical solutions of 2D Keller-Segel-Navier-Stokes equations with logistic source

PDEs in connection with fluid mechanics (35Q35) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51) Classical solutions to PDEs (35A09)

Cites Work

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Global weak solutions in a three-dimensional chemotaxis-Navier-Stokes system
A coupled Keller-Segel-Stokes model: global existence for small initial data and blow-up delay
Reaction terms avoiding aggregation in slow fluids
How far can chemotactic cross-diffusion enforce exceeding carrying capacities?
Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation
Global classical small-data solutions for a three-dimensional chemotaxis Navier-Stokes system involving matrix-valued sensitivities
Reaction enhancement by chemotaxis
A coupled chemotaxis-fluid model: global existence
Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
Boundedness and decay enforced by quadratic degradation in a three-dimensional chemotaxis-fluid system
Existence and uniqueness theorem on mild solutions to the Keller-Segel system coupled with the Navier-Stokes fluid
Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model
A user's guide to PDE models for chemotaxis
Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
A three-dimensional Keller-Segel-Navier-Stokes system with logistic source: global weak solutions and asymptotic stabilization
Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
Reaction-driven relaxation in three-dimensional Keller-Segel-Navier-Stokes interaction
Finite-time blow-up in the higher-dimensional parabolic-parabolic Keller-Segel system
Biomixing by chemotaxis and efficiency of biological reactions: The critical reaction case
Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
Sinking, merging and stationary plumes in a coupled chemotaxis-fluid model: a high-resolution numerical approach
COUPLED CHEMOTAXIS FLUID MODEL
Global classical solutions in a two-dimensional chemotaxis-Navier-Stokes system with subcritical sensitivity
Global classical solvability and stabilization in a two-dimensional chemotaxis-Navier–Stokes system modeling coral fertilization
Global Solutions to the Coupled Chemotaxis-Fluid Equations
Biomixing by Chemotaxis and Enhancement of Biological Reactions
Global Large-Data Solutions in a Chemotaxis-(Navier–)Stokes System Modeling Cellular Swimming in Fluid Drops
Blowup of nonradial solutions to parabolic-elliptic systems modeling chemotaxis in two-dimensional domains
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity
On the stability to Keller-Segel system coupled with Navier-Stokes equations in Besov-Morrey spaces

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