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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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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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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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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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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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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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Coupled heat transfer between a viscous shock gasdynamic layer and a transversely streamlined anisotropic half-space [PDF]
INCAS Bulletin, 2020 The purpose of the article is to analytically solve the conjugate problem of heat transfer in a viscous shock layer on a blunt object and thermal conductivity in an anisotropic half-space.
Olga V. TUSHAVINA
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Comptes Rendus. Mécanique, 2023 In this work, we develop a posteriori error control for a generalized Boussinesq model in which thermal conductivity and viscosity are temperature-dependent. Therein, the stationary Navier–Stokes equations are coupled with a stationary heat equation. The
Beuchler, Sven +3 more
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Simulations of moving effect of coastal vegetation on tsunami damping [PDF]
Natural Hazards and Earth System Sciences, 2017 A coupled wave–vegetation simulation is presented for the moving effect of the coastal vegetation on tsunami wave height damping. The problem is idealized by solitary wave propagation on a group of emergent cylinders.
C.-P. Tsai +3 more
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