\(L^q\)-estimates for the stationary Oseen equations on exterior domains

DOI10.1016/j.jde.2014.02.021zbMath1300.35096OpenAlexW2081006024MaRDI QIDQ743873

Dugyu Kim, Hyun-Seok Kim

Publication date: 1 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2014.02.021

zbMATH Keywords

weak solutionsOseen equationsvery weak solutions\(L^q\)-estimates

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Stokes and related (Oseen, etc.) flows (76D07) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03)

Related Items (4)

Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles ⋮ \(L^r\)-results of the stationary Navier-Stokes flows around a rotating obstacle ⋮ \(L^3\)-solutions for the stationary Navier-Stokes equations in the exterior of a rotating obstacle ⋮ Weak solutions of the Robin problem for the Oseen system

Cites Work

• Unnamed Item
• Unnamed Item
• A class of solutions to stationary Stokes and Navier-Stokes equations with boundary data in \(W^{-1/q,q}\)
• Stationary Stokes, Oseen and Navier-Stokes equations with singular data
• Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
• Existence and regularity of very weak solutions of the stationary Navier-Stokes equations
• Very weak solutions of the Navier-Stokes equations in exterior domains with nonhomogeneous data
• Very weak solutions of the stationary Stokes equations on exterior domains
• Analyticity of the semigroup generated by the Stokes operator in \(L_r\) spaces
• Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains
• Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle
• Very weak solutions and large uniqueness classes of stationary Navier-Stokes equations in bounded domains of \(\mathbb R^2\)
• A new class of weak solutions of the Navier-Stokes equations with nonhomogeneous data
• A removable isolated singularity theorem for the stationary Navier-Stokes equations
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• An Introduction to the Mathematical Theory of the Navier-Stokes Equations
• ON STATIONARY SOLUTIONS OF THE PROBLEM OF FLOW PAST A BODY OF A VISCOUS INCOMPRESSIBLE FLUID
• ON THE OSEEN PROBLEM IN THREE-DIMENSIONAL EXTERIOR DOMAINS

This page was built for publication: \(L^q\)-estimates for the stationary Oseen equations on exterior domains