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The Optimal Error Estimate of the Fully Discrete Locally Stabilized Finite Volume Method for the Non-Stationary Navier-Stokes Problem [PDF]
Entropy, 2022 This paper proves the optimal estimations of a low-order spatial-temporal fully discrete method for the non-stationary Navier-Stokes Problem. In this paper, the semi-implicit scheme based on Euler method is adopted for time discretization, while the ...
Guoliang He, Yong Zhang
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Instability of an Inverse Problem for the Stationary Navier--Stokes Equations [PDF]
SIAM Journal on Control and Optimization, 2013 This paper provides a theoretical study of the detection of an object immersed in a fluid when the fluid motion is governed by the stationary Navier--Stokes equations with nonhomogeneous Dirichlet boundary conditions. To solve this inverse problem, we make a boundary measurement on a part of the exterior boundary.
Fabien Caubet
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Isogeometric residual minimization (iGRM) for non-stationary Stokes and Navier–Stokes problems [PDF]
Computers and Mathematics With Applications, 2021 27 pages, 11 ...
Maciej Paszyński +2 more
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Equilibrium Figures for a Rotating Compressible Capillary Two-Layer Liquid
Mathematics, 2023 The paper proves the existence of a family of axisymmetric equilibrium figures as solutions of a stationary problem with unknown boundaries for the Navier–Stokes equations corresponding to the slow rotation of a viscous compressible two-layer liquid mass
Irina Vladimirovna Denisova +1 more
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Axioms, 2021 We introduce new necessary conditions for the existence and uniqueness of stationary weak solutions and the existence of the weak solutions for the evolution problem in the system arising from the modeling of the bioconvective flow problem.
Aníbal Coronel +3 more
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Non-stationary Navier–Stokes equations in 2D power cusp domain
Advances in Nonlinear Analysis, 2021 The initial boundary value problem for the non-stationary Navier-Stokes equations is studied in 2D bounded domain with a power cusp singular point O on the boundary. The case of the boundary value with a nonzero flow rate is considered.
Pileckas Konstantin, Raciene Alicija
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Mathematical Modelling and Analysis, 2021 The nonhomogeneous boundary value problem for the stationary NavierStokes equations in 2D symmetric multiply connected domain with a cusp point on the boundary is studied. It is assumed that there is a source or sink in the cusp point.
Kristina Kaulakytė, Neringa Klovienė
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Short-time existence of a quasi-stationary fluid–structure interaction problem for plaque growth
Advances in Nonlinear Analysis, 2023 We address a quasi-stationary fluid–structure interaction problem coupled with cell reactions and growth, which comes from the plaque formation during the stage of the atherosclerotic lesion in human arteries.
Abels Helmut, Liu Yadong
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On the Navier problem for the stationary Navier–Stokes equations
Journal of Differential Equations, 2011 The Navier problem is to find a solution to the steady-state Navier-Stokes equations such that the normal component of the velocity and a linear combination of the tangential components of the velocity and the traction assume prescribed data at the boundary.
RUSSO A, TARTAGLIONE, Alfonsina
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Қарағанды университетінің хабаршысы. Математика сериясы, 2018 Accumulated facts and information about the Navier-Stokes equations, together with a large number of experiments and approximate calculations, made it possible to reveal some discrepancies between the mathematical model of a viscous melt and real ...
S.Sh. Kazhikenova +3 more
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