Existence and uniqueness of weak solutions to the two-dimensional stationary Navier-Stokes exterior problem
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Publication:1756643
DOI10.1007/s00021-018-0397-yzbMath1406.35241OpenAlexW2890512769MaRDI QIDQ1756643
Publication date: 21 December 2018
Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00021-018-0397-y
Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (4)
On the steady Navier-Stokes equations in \(2D\) exterior domains ⋮ Existence of planar non-symmetric stationary flows with large flux in an exterior disk ⋮ Leray's plane steady state solutions are nontrivial ⋮ Uniqueness of plane stationary Navier-Stokes flow past an obstacle
Cites Work
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- On the asymptotic stability of steady flows with nonzero flux in two-dimensional exterior domains
- On symmetric Leray solutions of the stationary Navier-Stokes equations
- The stationary Navier-Stokes equation on the whole plane with external force with antisymmetry
- On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier-Stokes problem
- Existence, uniqueness and \(L^ q\)-estimates for the Stokes problem in an exterior domain
- On the asymptotic behavior of \(D\)-solutions of the plane steady-state Navier-Stokes equations
- Theory of function spaces
- On the asymptotic form of Navier-Stokes flow past a body in the plane
- Density properties for solenoidal vector fields, with applications to the Navier-Stokes equations in exterior domains
- On uniqueness questions in the theory of viscous flow
- On Leray's problem of steady Navier-Stokes flow past a body in the plane
- Space-time decay of Navier-Stokes flows invariant under rotations
- On the asymptotic structure of plane steady flow of a viscous fluid in exterior domains
- Compensated compactness and Hardy spaces
- Asymptotic behavior of the solution to the two-dimensional stationary problem of the flow past a body far from it
- On uniqueness of symmetric Navier-Stokes flows around a body in the plane
- A note on the exterior two-dimensional steady-state Navier-Stokes problem
- The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain
- On the stationary solutions of the Navier-Stokes equations in two dimensions
- Convolution operators and L(p, q) spaces
- On the exterior two-dimensional Dirichlet problem for elliptic equations
- An improved Hardy-Sobolev inequality and its application
- Rate of Convergence to the Stationary Solution of the Navier-Stokes Exterior Problem
- Two-dimensional stationary Navier-Stokes equations with 4-cyclic symmetry
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Existence and uniqueness of steady weak solutions to the Navier–Stokes equations in ℝ²
- ASYMPTOTIC PROPERTIES OF LERAY'S SOLUTION OF THE STATIONARY TWO-DIMENSIONAL NAVIER-STOKES EQUATIONS
- On the asymptotic behaviour of 2D stationary Navier–Stokes solutions with symmetry conditions
- On Stokes' Problem
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