Global well‐posedness result for density‐dependent incompressible viscous fluid in with linearly growing initial velocity

DOI10.1002/mma.2649zbMath1264.35172OpenAlexW2100111175MaRDI QIDQ4921730

Daoyuan Fang, Ting Zhang, Bin Han

Publication date: 13 May 2013

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2649

zbMATH Keywords

Navier-Stokes equationsglobal existencelinearly growing velocity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Blow-up in context of PDEs (35B44)

Related Items (2)

Global existence of strong solutions for \(2\)-dimensional Navier-Stokes equations on exterior domains with growing data at infinity ⋮ Global existence for the 2D Navier-Stokes flow in the exterior of a moving or rotating obstacle

Cites Work

• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• 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
• Local and global well-posedness results for flows of inhomogeneous viscous fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Wellposedness for the Navier–Stokes flow in the exterior of a rotating obstacle

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