Global bounded solution in a chemotaxis-Stokes model with porous medium diffusion and singular sensitivity

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Degenerate parabolic equations (35K65) Cell movement (chemotaxis, etc.) (92C17) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

Unnamed Item
Global existence and boundedness in a Keller-Segel-Stokes model with arbitrary porous medium diffusion
Locally bounded global solutions to a chemotaxis consumption model with singular sensitivity and nonlinear diffusion
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: global existence and asymptotic behavior
Global existence and boundedness in a Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation: the 3D case
Abstract \(L^ p\) estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains
Global existence and stabilization in a degenerate chemotaxis-Stokes system with mildly strong diffusion enhancement
Eventual smoothness of generalized solutions to a singular chemotaxis-Stokes system in 2D
Global generalized solutions to a Keller-Segel system with nonlinear diffusion and singular sensitivity
Locally bounded global solutions in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion
Global mass-preserving solutions in a two-dimensional chemotaxis-Stokes system with rotational flux components
Approaching logarithmic singularities in quasilinear chemotaxis-consumption systems with signal-dependent sensitivities
Global existence, regularity and boundedness in a higher-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and general sensitivity
Global existence and boundedness for chemotaxis-Navier-Stokes systems with position-dependent sensitivity in 2D bounded domains
Global boundedness to a 3D chemotaxis-Stokes system with porous medium cell diffusion and general sensitivity
Chemotaxis-Stokes interaction with very weak diffusion enhancement: blow-up exclusion via detection of absorption-induced entropy structures involving multiplicative couplings
Bacterial swimming and oxygen transport near contact lines
Can Rotational Fluxes Impede the Tendency Toward Spatial Homogeneity in Nutrient Taxis(-Stokes) Systems?
Boundedness and large time behavior in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

This page was built for publication: Global bounded solution in a chemotaxis-Stokes model with porous medium diffusion and singular sensitivity