Results 11 to 20 of about 63,459 (307)
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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Navier-Stokes Equations with Potentials
Abstract and Applied Analysis, 2007 We study Navier-Stokes equations perturbed with a maximal monotone operator, in a bounded domain, in 2D and 3D. Using the theory of nonlinear semigroups, we prove existence results for strong and weak solutions. Examples are also provided.
Adriana-Ioana Lefter
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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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Equations of Motion and Navier–Stokes Equations
ComputationIn this research, we present the analogies between variational calculations in cosmology and in classical mechanics. Our approach is based on the invariants for transformations of affine connections defined on N-dimensional manifolds (special cases are ...
Dušan J. Simjanović +4 more
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On the Navier–Stokes equations on surfaces [PDF]
Journal of Evolution Equations, 2020 AbstractWe consider the motion of an incompressible viscous fluid that completely covers a smooth, compact and embedded hypersurface$$\Sigma $$Σwithout boundary and flows along$$\Sigma $$Σ. Local-in-time well-posedness is established in the framework of$$L_p$$Lp-$$L_q$$Lq-maximal regularity.
Jan Prüss +2 more
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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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Approximations of stochastic Navier–Stokes equations [PDF]
Stochastic Processes and their Applications, 2020 In this paper we show that solutions of two-dimensional stochastic Navier-Stokes equations driven by Brownian motion can be approximated by stochastic Navier-Stokes equations forced by pure jump noise/random kicks.
Shang, Shijie, Zhang, Tusheng
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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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