Stability of the Couette flow under the 2D steady Navier–Stokes flow
DOI10.1002/mana.202000240zbMath1527.35221arXiv1905.08014MaRDI QIDQ6093821
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Publication date: 9 October 2023
Published in: Mathematische Nachrichten (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.08014
Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)
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Cites Work
- Unnamed Item
- Liouville-type theorems for steady flows of degenerate power law fluids in the plane
- Stationary flows of shear thickening fluids in 2D
- Liouville theorems for the Navier-Stokes equations and applications
- On the existence of vanishing at infinity symmetric solutions to the plane stationary exterior Navier-Stokes problem
- Existence and regularity of steady flows for shear-thinning liquids in exterior two-dimensional domains.
- Transition threshold for the 2-D Couette flow in a finite channel
- On the asymptotic behavior of \(D\)-solutions of the plane steady-state Navier-Stokes equations
- Linear growth harmonic functions on a complete manifold
- On the two-dimensional steady-state problem of a viscous gas in an exterior domain
- The Sobolev stability threshold for 2D shear flows near Couette
- Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I: One singularity
- Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II: Classification of axisymmetric no-swirl solutions
- On convergence of arbitrary D-solution of steady Navier-Stokes system in 2D exterior domains
- On Leray's problem of steady Navier-Stokes flow past a body in the plane
- Étude de diverses équations intégrales non linéaires et de quelques problèmes que pose l'hydrodynamique
- Liouville theorems for stationary flows of shear thickening fluids in the plane
- Liouville theorem for the steady-state non-Newtonian Navier-Stokes equations in two dimensions
- On the steady Navier-Stokes equations in \(2D\) exterior domains
- Liouville type theorems for the planar stationary MHD equations with growth at infinity
- A note on a Liouville type result of Gilbarg and Weinberger for the stationary Navier-Stokes equations in 2D
- A note on the exterior two-dimensional steady-state Navier-Stokes problem
- Liouville theorems for entire local minimizers of energies defined on the class \(L \log L\) and for entire solutions of the stationary Prandtl-Eyring fluid model
- The existence of a solution with finite Dirichlet integral for the steady Navier-Stokes equations in a plane exterior symmetric domain
- A note on Liouville theorem for stationary flows of shear thickening fluids in the plane
- \(H^p\) spaces of several variables
- An Introduction to the Mathematical Theory of the Navier-Stokes Equations
- Liouville theorems for stationary flows of shear thickening fluids in 2D
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Harmonic functions on complete riemannian manifolds
- On the asymptotic behaviour of 2D stationary Navier–Stokes solutions with symmetry conditions
- Liouville-type theorems for the stationary MHD equations in 2D
- Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
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