Results 1 to 10 of about 404,898 (137)

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
doaj   +1 more source

Global Existence and Uniqueness of The Inviscid Velocity-Vorticity Model of The g-Navier-Stokes Equations

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
doaj   +1 more source

Non-uniqueness of Leray solutions of the forced Navier-Stokes equations [PDF]

Annals of Mathematics, 2021
In the seminal work [39], Leray demonstrated the existence of global weak solutions to the Navier-Stokes equations in three dimensions. We exhibit two distinct Leray solutions with zero initial velocity and identical body force.
D. Albritton, Elia Bru'e, Maria Colombo
semanticscholar   +1 more source

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
doaj   +1 more source

Physics-informed neural networks for solving Reynolds-averaged Navier-Stokes equations [PDF]

The Physics of Fluids, 2021
Physics-informed neural networks (PINNs) are successful machine-learning methods for the solution and identification of partial differential equations (PDEs).
Hamidreza Eivazi, M. Tahani, P. Schlatter, R. Vinuesa   +3 more
semanticscholar   +1 more source

Low Mach number limit for the compressible Navier–Stokes equations with density-dependent viscosity and vorticity-slip boundary condition

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Global existence of strong solutions to compressible Navier-Stokes-Korteweg equations with external potential force

AIMS Mathematics, 2023
In this article, we consider a three dimensional compressible Navier-Stokes-Korteweg equations with the effect of external potential force. Under the smallness assumptions on both the external potential force and the initial perturbation of the ...
Kaile Chen, Yunyun Liang, Nengqiu Zhang
doaj   +1 more source

The use of dual reciprocity method for 2D laminar viscous flow [PDF]

MATEC Web of Conferences, 2020
The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
doaj   +1 more source