On new estimates for the Navier-Stokes equations and globally stable attractors
Journal Article
·
· Journal of Mathematical Sciences
For the two-dimensional Navier-Stokes equations and for a number of their globally stable approximations (the Galerkin-Faedo method, the Galerkin-Faedo method discrete in time, the implicit finite-difference methods (19{sub i})) the author presents new a priori estimates which prove the existence of a compact minimal global B-attractor for the Navier-Stokes equations (this fact was first proved by the author in 1972) and also for the approximations mentioned above. Similar results for many problems of the theory of viscous incompressible fluids and continuum mechanics are valid.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 210026
- Journal Information:
- Journal of Mathematical Sciences, Journal Name: Journal of Mathematical Sciences Journal Issue: 3 Vol. 77; ISSN 1072-1964; ISSN JMTSEW
- Country of Publication:
- United States
- Language:
- English
Similar Records
Attractors for the penalized Navier-Stokes equations
On the numerical construction of an attractor for the Navier-Stokes system
Numerical test of the reliability of Galerkin approximations to the solutions of the Navier--Stokes equation
Journal Article
·
Thu Dec 31 23:00:00 EST 1987
· SIAM J. Math. Anal.; (United States)
·
OSTI ID:5330495
On the numerical construction of an attractor for the Navier-Stokes system
Journal Article
·
Fri Nov 24 23:00:00 EST 1995
· Journal of Mathematical Sciences
·
OSTI ID:210025
Numerical test of the reliability of Galerkin approximations to the solutions of the Navier--Stokes equation
Journal Article
·
Fri May 01 00:00:00 EDT 1981
· J. Comput. Phys.; (United States)
·
OSTI ID:6189793