TY - JOUR
T1 - On the dimension of the attractors in two-dimensional turbulence
AU - Constantin, Peter
AU - Foias, C.
AU - Temam, R.
N1 - Funding Information:
This research was partially supported by the Applied Mathematical Sciences Program of the U.S. Department of Energy, Contract DE-AC02-82ER-12049 and Grant DE-FG02-86ER-25020; by the National Science Foundation, Grant DMS-860-2031; and the Research Fund of Indiana University. Also the first author is an A.P, Sloan Research Fellow.
PY - 1988/4
Y1 - 1988/4
N2 - Using a new version of the Sobolev-Lieb-Thirring inequality, we derive an upper bound for the dimension of the universal attractor for two-dimensional space periodic Navier-Stokes equations. This estimate is optimal up to a logarithmic correction. The relevance of this estimate to turbulence and related results are also briefly discussed.
AB - Using a new version of the Sobolev-Lieb-Thirring inequality, we derive an upper bound for the dimension of the universal attractor for two-dimensional space periodic Navier-Stokes equations. This estimate is optimal up to a logarithmic correction. The relevance of this estimate to turbulence and related results are also briefly discussed.
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U2 - 10.1016/0167-2789(88)90022-X
DO - 10.1016/0167-2789(88)90022-X
M3 - Article
AN - SCOPUS:0023999086
SN - 0167-2789
VL - 30
SP - 284
EP - 296
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 3
ER -