Title | Contributions to Current Challenges in Mathematical Fluid Mechanics [electronic resource] / edited by Giovanni P. Galdi, John G. Heywood, Rolf Rannacher |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 2004 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7877-7 |
Descript | VIII, 152 p. online resource |
On Multidimensional Burgers Type Equations with Small Viscosity -- 1. Introduction -- 2. Upper estimates -- 3. Lower estimates -- 4. Fourier coefficients -- 5. Low bounds for spatial derivatives of solutions of the NavierโStokes system -- References -- On the Global Well-posedness and Stability of the NavierโStokes and the Related Equations -- 1. Introduction -- 2. LittlewoodโPaley decomposition -- 3. Proof of Theorems -- References -- The Commutation Error of the Space Averaged NavierโStokes Equations on a Bounded Domain -- 1. Introduction -- 2. The space averaged Navier-Stokes equations in a bounded domain -- 3. The Gaussian filter -- 4. Error estimates in the (Lp(?d))dโnorm of the commutation error term -- 5. Error estimates in the (H-1(?))dโnorm of the commutation error term -- 6. Error estimates for a weak form of the commutation error term -- 7. The boundedness of the kinetic energy for รฑ in some LES models -- References -- The Nonstationary Stokes and NavierโStokes Flows Through an Aperture -- 1. Introduction -- 2. Results -- 3. The Stokes resolvent for the half space -- 4. The Stokes resolvent -- 5. L4-Lr estimates of the Stokes semigroup -- 6. The NavierโStokes flow -- References -- Asymptotic Behavior at Infinity of Exterior Three-dimensional Steady Compressible Flow -- 1. Introduction -- 2. Function spaces and auxiliary results -- 3. Stokes and modified Stokes problems in weighted spaces -- 4. Transport equation and Poisson-type equation -- 5. Linearized problem -- 6. Nonlinear problem -- References