Generalizations of incompressible and compressible Navier–Stokes equations to fractional time and multi-fractional space [PDF]
Scientific Reports, 2022 This study develops the governing equations of unsteady multi-dimensional incompressible and compressible flow in fractional time and multi-fractional space. When their fractional powers in time and in multi-fractional space are specified to unit integer
M. Levent Kavvas, Ali Ercan
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Uniform Finite Element Error Estimates with Power-Type Asymptotic Constants for Unsteady Navier–Stokes Equations [PDF]
Entropy, 2022 Uniform error estimates with power-type asymptotic constants of the finite element method for the unsteady Navier–Stokes equations are deduced in this paper.
Cong Xie, Kun Wang
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Energy equality in the isentropic compressible Navier-Stokes-Maxwell equations
Electronic Research Archive, 2023 This paper concerns energy conservation for weak solutions of compressible Navier-Stokes-Maxwell equations. For the energy equality to hold, we provide sufficient conditions on the regularity of weak solutions, even for solutions that may include exist ...
Jie Zhang , Gaoli Huang, Fan Wu
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this paper, we prove the global existence and uniqueness of the weak solutions to the inviscid velocity-vorticity model of the g-Navier-Stokes equations.
Meryem Kaya, Özge Kazar
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Analytical Solution to 1D Compressible Navier-Stokes Equations
Journal of Function Spaces, 2021 There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t ...
Changsheng Dou, Zishu Zhao
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Boundary Value Problems, 2020 In this paper, we consider the three-dimensional compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition in a bounded smooth domain.
Dandan Ren, Yunting Ding, Xinfeng Liang
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Revisiting the Reynolds-averaged Navier–Stokes equations
Open Physics, 2022 This study revisits the Reynolds-averaged Navier–Stokes (RANS) equations and finds that the existing literature is erroneous regarding the primary unknowns and the number of independent unknowns in the RANS. The literature claims that the Reynolds stress
Sun Bohua
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The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay
AIMS Mathematics, 2023 In this article, the global well-posedness of weak solutions for 2D non-autonomous g-Navier-Stokes equations on some bounded domains were investigated by the Faedo-Galerkin method.
Xiaoxia Wang, Jinping Jiang
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A Liouville theorem for the planer Navier-Stokes equations with the no-slip boundary condition and its application to a geometric regularity criterion [PDF]
, 2013 We establish a Liouville type result for a backward global solution to the Navier-Stokes equations in the half plane with the no-slip boundary condition. No assumptions on spatial decay for the vorticity nor the velocity field are imposed.
Giga, Yoshikazu +2 more
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Generalized Navier–Stokes equations and soft hairy horizons in fluid/gravity correspondence
Nuclear Physics B, 2021 The fluid/gravity correspondence establishes how gravitational dynamics, as dictated by Einstein's field equations, are related to the fluid dynamics, governed by the relativistic Navier–Stokes equations.
A.J. Ferreira–Martins, R. da Rocha
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