Results 31 to 40 of about 18,092 (161)

About the Regularized Navier?Stokes Equations [PDF]

Journal of Mathematical Fluid Mechanics, 2005
The first goal of this paper is to study the large time behavior of solutions to the Cauchy problem for the 3-dimensional incompressible Navier-Stokes system. The Marcinkiewicz space $L^{3,\infty}$ is used to prove some asymptotic stability results for solutions with infinite energy.
Cannone, Marco, Karch, Grzegorz
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Solutions of Navier-Stokes Equation with Coriolis Force

Advances in Mathematical Physics, 2017
We investigate the Navier-Stokes equation in the presence of Coriolis force in this article. First, the vortex equation with the Coriolis effect is discussed.
Sunggeun Lee, Shin-Kun Ryi, Hankwon Lim
doaj   +1 more source

Oil Spill Simulation by Coupling Three-dimensional Hydrodynamic Model and Oil Spill Model

한국해양공학회지, 2018
In this study, a new numerical modeling system was proposed to predict oil spills, which increasingly occur at sea as a result of abnormal weather conditions such as global warming.
Tae-Hwa Jung, Sangyoung Son
doaj   +1 more source

Euler and Navier-Stokes equations [PDF]

Publicacions Matemàtiques, 2008
We present results concerning the local existence, regularity and possible blow up of solutions to incompressible Euler and Navier-Stokes equations.
openaire   +4 more sources

An approximate analytical solution of the time-fractional Navier–Stokes equations by the generalized Laplace residual power series method

Partial Differential Equations in Applied Mathematics
The dynamics of viscous fluids may be elucidated via the Navier–Stokes equations, which create a fundamental relationship between the exertion of external forces upon fluid motion and the resultant fluid pressure.
P. Dunnimit, W. Sawangtong, P. Sawangtong   +2 more
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Weak solutions of the Navier-Stokes equation and their Euler limits

Frontiers in Applied Mathematics and Statistics
The existence of a weak solution of the incompressible isothermal Navier-Stokes equation with given initial conditions in the Sobolev space ℋ−2 for energy fluctuations and in ℋ−3 for enstrophy fluctuations is assumed.
James Glimm
doaj   +1 more source

Analysis of fractional multi-dimensional Navier–Stokes equation

Advances in Difference Equations, 2021
In this paper, a hybrid method called variational iteration transform method has been implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes fractional-order derivatives.
Yu-Ming Chu, Nehad Ali Shah, Praveen Agarwal, Jae Dong Chung   +3 more
doaj   +1 more source

200 years of the Navier–Stokes equation

Revista Brasileira de Ensino de Física
The year 2022 marked the 200th anniversary of the first appearance of the Navier–Stokes equation, a landmark in Fluid Dynamics introduced by Claude-Louis Navier in 1822.
Sylvio R. Bistafa
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Observers for Compressible Navier--Stokes Equation [PDF]

SIAM Journal on Control and Optimization, 2018
We consider a multi-dimensional model of a compressible fluid in a bounded domain. We want to estimate the density and velocity of the fluid, based on the observations for only velocity. We build an observer exploiting the symmetries of the fluid dynamics laws.
Amit Apte, Didier Auroux, Mythily Ramaswamy   +2 more
openaire   +2 more sources

Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes

Cubo, 2010
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution.
S Albeverio, Ya Belopolskaya
doaj