Name
Abstract | ||
|---|---|---|
In this paper we study the space-time asymptotic behavior of the solutions, and their derivatives, to the incompressible Navier Stokes equations in dimension 2 less than or equal to n less than or equal to 5. Using moment estimates we obtain that strong solutions to the Navier Stokes equations which decay in L-2 at the rate of parallel to u(t)parallel to(2) less than or equal to C (t + 1)(-mu) will have the following pointwise space-time decay, for 0 less than or equal to k less than or equal to n/2: \D(alpha)u(x,t)\ less than or equal to C-k,C-m 1/(t + 1)(rho 0) (1 + \x\(2))(k/2), where rho(O) = (1 = 2k/n)(m/2+ mu + n/4), \alpha\ = m and mu > n/4. |
Year | DOI | Venue |
|---|---|---|
2000 | 10.1137/S0036141098346177 | SIAM J. Math. Analysis |
Keywords | Field | DocType |
Navier-Stokes equations,derivatives,pointwise algebraic decay | Strong solutions,Mathematical analysis,Asymptotic analysis,Mathematics,Navier–Stokes equations,Pointwise | Journal |
Volume | Issue | ISSN |
31 | 4 | 0036-1410 |
Citations | PageRank | References |
1 | 0.63 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chérif Amrouche | 1 | 1 | 2.65 |
| Vivette Girault | 2 | 225 | 32.59 |
| Maria E. Schonbek | 3 | 1 | 0.63 |
| Tomas P. Schonbek | 4 | 5 | 2.75 |