Weighted \(L^q\)-Helmholtz decompositions in infinite cylinders and in infinite layers.

zbMath1038.35068MaRDI QIDQ1413014

Reinhard Farwig

Publication date: 10 November 2003

Published in: Advances in Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Fourier transformMuckenhoupt weightsHelmholtz decompositioninfinite cylindersinfinite layers

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Variational methods for second-order elliptic equations (35J20)

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Stability of a two‐dimensional stationary rotating flow in an exterior cylinder ⋮ The Helmholtz decomposition of a \(BMO\) type vector field in general unbounded domains ⋮ Equivalent conditions for the consistency of the Helmholtz decomposition of Muckenhoupt \(A_p\)-weighted \(L_p\)-spaces ⋮ Decay estimates for a thermoelastic system in waveguides ⋮ Maximal \(L_p\)-regularity of non-local boundary value problems ⋮ On Stokes operators with variable viscosity in bounded and unbounded domains ⋮ A remark on Leray's problem on stationary Navier-Stokes flows with large fluxes in infinite cylindrical domains ⋮ Stability of plane Couette flows with respect to small periodic perturbations ⋮ The L p -Helmholtz projection in finite cylinders ⋮ Time-periodic solutions of the Navier-Stokes equations in unbounded cylindrical domains-Leray's problem for periodic flows

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