On the global well-posedness of 2-D density-dependent Navier-Stokes system with variable viscosity

2013/01/11 by Hammadi Abidi, Ping Zhang, Abidi, Hammadi +1
Mathematics · Engineering · #Navier-Stokes equation solutions #Advanced Mathematical Physics Problems #Computational Fluid Dynamics and Aerodynamics

paper · pdf · doi:10.48550/arxiv.1301.2371

Abstract

Given solenoidal vector u₀∈ H^-2\d∩ H¹(\R²), \r₀-1∈ L²(\R²), and \r₀ ∈ L^∞∩W^1,r(\R²) with a positive lower bound for \d∈ (0,\f12) and 2

Citations

• Decay estimates of global solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity

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