scholarly journals Quantitative Transfer of Regularity of the Incompressible Navier–Stokes Equations from $$\mathbb {R}^3$$ to the Case of a Bounded Domain

2021 ◽  
Vol 23 (4) ◽  
Author(s):  
W. S. Ożański
Keyword(s):  
Bounded Domain ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Navier Stokes Equations

scholarly journals On the construction of suitable weak solutions to the 3D Navier–Stokes equations in a bounded domain by an artificial compressibility method

2017 ◽  
Vol 20 (01) ◽  
pp. 1650064 ◽  
Author(s):  
Luigi C. Berselli ◽  
Stefano Spirito
Keyword(s):  
Bounded Domain ◽  
Weak Solutions ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Bounded Domains ◽  
Suitable Weak Solutions ◽  
Navier Stokes Equations ◽  
Artificial Compressibility ◽  
Artificial Compressibility Method

We prove that suitable weak solutions of 3D Navier–Stokes equations in bounded domains can be constructed by a particular type of artificial compressibility approximation.

scholarly journals The Exponential Attractors for the g-Navier-Stokes Equations

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Delin Wu ◽  
Jicheng Tao
Keyword(s):  
Bounded Domain ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Exponential Attractor ◽  
Two Dimensional ◽  
Exponential Attractors ◽  
Navier Stokes Equations

We consider the exponential attractors for the two-dimensional g-Navier-Stokes equations in bounded domain Ω. We establish the existence of the exponential attractor inL2(Ω).

scholarly journals The Finite-Dimensional Uniform Attractors for the Nonautonomous g-Navier-Stokes Equations

2009 ◽  
Vol 2009 ◽  
pp. 1-17 ◽  
Author(s):  
Delin Wu
Keyword(s):  
Fractal Dimension ◽  
Bounded Domain ◽  
Stokes Equations ◽  
Navier Stokes ◽  
Two Dimensional ◽  
Uniform Attractor ◽  
Navier Stokes Equations ◽  
Finite Dimensional ◽  
Uniform Attractors

We consider the uniform attractors for the two dimensional nonautonomous g-Navier-Stokes equations in bounded domain . Assuming , we establish the existence of the uniform attractor in and . The fractal dimension is estimated for the kernel sections of the uniform attractors obtained.

scholarly journals Navier-Stokes Equations with Potentials

2007 ◽  
Vol 2007 ◽  
pp. 1-30 ◽  
Author(s):  
Adriana-Ioana Lefter
Keyword(s):  
Bounded Domain ◽  
Weak Solutions ◽  
Maximal Monotone Operator ◽  
Stokes Equations ◽  
Maximal Monotone ◽  
Existence Results ◽  
Navier Stokes ◽  
Navier Stokes Equations ◽  
Nonlinear Semigroups ◽  
2D And 3D

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.

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