Results 271 to 280 of about 63,459 (307)
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TURBULENCE AND NAVIER-STOKES-EQUATIONS
1990This contribution reports on recent progress to explain fully developed, homogeneous, and isotropic turbulence of incompressible, single species fluid flow from the hydrodynamic equations. Only the main ideas are touched, for details the reader is referred to the original references. Various applications indicate the usefulness of the methods. There is
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2013
In this chapter, we introduce a method of imposing asymmetric conditions on the velocity vector with respect to independent spatial variables and a moving-frame method to solve the three-dimensional Navier–Stokes equations. Seven families of unsteady rotating asymmetric solutions with various parameters are obtained.
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In this chapter, we introduce a method of imposing asymmetric conditions on the velocity vector with respect to independent spatial variables and a moving-frame method to solve the three-dimensional Navier–Stokes equations. Seven families of unsteady rotating asymmetric solutions with various parameters are obtained.
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1995
The methods of nonstandard analysis axe applied to the study of Navier-Stokes equations. We give a construction of weak solutions, solve general stochastic Navier-Stokes equations, and show how to obtain statistical solutions in the general stochastic case.
M. Capiński, N. J. Cutland
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The methods of nonstandard analysis axe applied to the study of Navier-Stokes equations. We give a construction of weak solutions, solve general stochastic Navier-Stokes equations, and show how to obtain statistical solutions in the general stochastic case.
M. Capiński, N. J. Cutland
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2020
The Navier-Stokes equations are a set of highly non-linear partial differential equations. We present these equations as the final example of partial differential equations, because of their special character and their importance in the field of fluid mechanics.
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The Navier-Stokes equations are a set of highly non-linear partial differential equations. We present these equations as the final example of partial differential equations, because of their special character and their importance in the field of fluid mechanics.
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2005
Abstract The Navier-Stokes system is the basis for computational modeling of the flow of an incompressible Newtonian fluid, such as air or water.
Howard C Elman +2 more
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Abstract The Navier-Stokes system is the basis for computational modeling of the flow of an incompressible Newtonian fluid, such as air or water.
Howard C Elman +2 more
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2014
The main goal of this chapter is to present the Navier-Stokes equation, both for incompressible and compressible fluids. The equation is written in the cartesian tensor notation and also in the usual vector form. The viscosity and rate of strain tensors are introduced, as well as the viscosity coefficients.
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The main goal of this chapter is to present the Navier-Stokes equation, both for incompressible and compressible fluids. The equation is written in the cartesian tensor notation and also in the usual vector form. The viscosity and rate of strain tensors are introduced, as well as the viscosity coefficients.
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2016
This chapter starts with two general principles: the mass and momentum conservations, valid for any fluid, complex or not, which will be used all along this book.
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This chapter starts with two general principles: the mass and momentum conservations, valid for any fluid, complex or not, which will be used all along this book.
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Stokes and Navier-Stokes equations with Navier boundary conditions
Journal of Differential Equations, 2021C Amrouche, CARLOS Conca
exaly
Named after Claude-Louis Navier and George Gabriel Stokes, who derived them in the early 19th century, these equations remain at the forefront of mathematical research, with their general solution in three dimensions representing one of the seven Millennium Prize Problems identified by the Clay Mathematics Institute...
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