Details

Autor(en) / Beteiligte

• Zhang, Qian
• Zhang, Yehua

Titel

On the global well‐posedness for the 2D incompressible Keller‐Segel‐Navier‐Stokes equations

Ist Teil von

• Zeitschrift für angewandte Mathematik und Mechanik, 2019-11, Vol.99 (11), p.n/a

Ort / Verlag

Weinheim: Wiley Subscription Services, Inc

Erscheinungsjahr

2019

Quelle

Wiley-Blackwell Journals

Beschreibungen/Notizen

• The Keller‐Segel‐Navier‐Stokes system ρt+u·∇ρ=Δρ−∇·(ρ∇c)−ρ2,ct+u·∇c=Δc−c+ρ,ut+u·∇u+∇P=Δu−ρ∇ϕ,∇·u=0,is considered in R2. It is proved that we obtain the existence and uniqueness of weak solutions for the two dimensional incompressible Keller‐Segel‐Navier‐Stokes equations for a large class of initial data by using Fourier localization technique. The Keller‐Segel‐Navier‐Stokes system ρt+u·∇ρ=Δρ−∇·(ρ∇c)−ρ2,ct+u·∇c=Δc−c+ρ,ut+u·∇u+∇P=Δu−ρ∇ϕ,∇·u=0,is considered in R2. It is proved that we obtain the existence and uniqueness of weak solutions for the two dimensional incompressible Keller‐Segel‐Navier‐Stokes equations for a large class of initial data by using Fourier localization technique.