Density-dependent incompressible viscous fluid flow subject to linearly growing initial data

DOI10.1080/00036811.2011.608160zbMath1246.35147OpenAlexW2068806728MaRDI QIDQ2909376

Matthias Hieber, Daoyuan Fang, Ting Zhang

Publication date: 30 August 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.608160

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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Cites Work

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• The Navier-Stokes equations on \(\mathbb R^n\) with linearly growing initial data
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• The inviscid limit for density-dependent incompressible fluids
• Estimates in Besov spaces for transport and transport-diffusion equations with almost Lipschitz coefficients
• 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
• Vorticity and the mathematical theory of incompressible fluid flow
• Density-dependent incompressible viscous fluids in critical spaces

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