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On the existence of singular solutions of the stationary Navier–Stokes problem
Lithuanian Mathematical Journal, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Russo A, TARTAGLIONE, Alfonsina
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A Liouville Problem for the Stationary Fractional Navier–Stokes–Poisson System
Journal of Mathematical Fluid Mechanics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Yuzhao, Xiao, Jie
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Dirichlet Problem for the Stationary Navier-Stokes System on Lipschitz Domains
Communications in Partial Differential Equations, 2011We consider the stationary Navier-Stokes system on a bounded Lipschitz domain Ω in R 3 with connected boundary ∂Ω. The main concern is the solvability of the Dirichlet problem with external force and boundary data having minimal regularity, i.e., and .
Hyunseok Kim, Hi Jun Choe
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On some stationary Navier–Stokes type problems
Nonlinear Analysis, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the cauchy problem for the stationary linear navier-stokes system
Siberian Mathematical Journal, 1997Solutions to the generalized Cauchy problem for the linear stationary system of Navier-Stokes equations in a bounded 3-dimensional domain are to be determined by values of the velocity and the stress tensor given on a part of the boundary. The author constructs a Carleman matrix for this system and proves Theorem 1 (respectively, Theorem 2) that, given
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On the stationary Navier–Stokes problem in 3D exterior domains
Applicable Analysis, 2018The main purpose of this paper is to show that in a three-dimensional exterior Lipschitz domain Ω = R 3 ∖ ∪ i = 1 m Ω ¯ i the stationary Navier–Stokes equations have a solution which converges at i...
Coscia Vincenzo +2 more
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A nonpercolation problem for the stationary Navier-Stokes equations
Doklady Mathematics, 2015The solvability of a nonpercolation boundary problem for the stationary Navier-Stokes equations is proved. The key points of the proof are analogues of the Friedrichs inequality and the de Rham theorem adequate for nonpercolation conditions.
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Inverse problems for stationary Navier-Stokes systems
Computational Mathematics and Mathematical Physics, 2014Summary: An inverse problem for a nonlinear equation in a Hilbert space is considered in which the right-hand side, which is a linear combination of given functionals, is found from given values of these functionals on the solution. Sufficient conditions for the existence of a solution are established and the solution set is shown to be homeomorphic to
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Leray’s problem on the stationary Navier–Stokes equations with inhomogeneous boundary data
Mathematische Zeitschrift, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kozono, Hideo, Yanagisawa, Taku
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Solvability of a Mixed Boundary Value Problem for the Stationary Navier–Stokes Equations
Differential Equations, 2001A problem with non-homogeneous conditions on a boundary, consisting of finitely many connected components, is considered for the stationary Navier-Stokes equations. An existence theorem for weak solutions of this problem is proved.
Illarionov, A. A., Chebotarev, A. Yu.
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