Global well-posedness for the 2D incompressible four-component chemotaxis-Navier-Stokes equations
Qian Zhang, Peiguang Wang
Abstract
The four-component chemotaxis-Navier-Stokes system{nt+u⋅∇n=Δn−∇⋅(n∇c)−nm,ct+u⋅∇c=Δc−c+m,mt+u⋅∇m=Δm−nm,ut+(u⋅∇)u+∇P=Δu+(n+m)∇ϕ,∇⋅u=0, is considered in R2. By using Fourier localization technique and the structure of equations, we obtain the existence and uniqueness of weak solutions for the above system for a large class of initial data.
Topics & Concepts
MathematicsUniquenessCompressibilityComponent (thermodynamics)Fourier transformChemotaxisNavier–Stokes equationsMathematical analysisClass (philosophy)Pure mathematicsPhysicsThermodynamicsChemistryBiochemistryArtificial intelligenceComputer scienceReceptorMathematical Biology Tumor GrowthMathematical and Theoretical Epidemiology and Ecology Models