Contributions to Current Challenges in Mathematical Fluid Mechanics

Inbunden, Engelska, 2004

Del i serien Advances in Mathematical Fluid Mechanics

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Beskrivning

The mathematical theory of the Navier-Stokes equations presents still fundamental open questions that represent as many challenges for the interested mathematicians. This volume collects a series of articles whose objective is to furnish new contributions and ideas to these questions, with particular regard to turbulence modelling, regularity of solutions to the initial-value problem, flow in region with an unbounded boundary and compressible flow.Contributors: A. BiryukD. Chae and J. LeeA. Dunca, V. John and W.J. LaytonT. HishidaT. Leonaviciene and K. Pileckas

Produktinformation

Utgivningsdatum:2004-07-23
Mått:155 x 235 x 15 mm
Vikt:418 g
Format:Inbunden
Språk:Engelska
Serie:Advances in Mathematical Fluid Mechanics
Antal sidor:152
Upplaga:2004
Förlag:Birkhauser Verlag AG
ISBN:9783764371043

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Innehållsförteckning

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 Navier—Stokes system.- References.- On the Global Well-posedness and Stability of the Navier—Stokes and the Related Equations.- 1. Introduction.- 2. Littlewood—Paley decomposition.- 3. Proof of Theorems.- References.- The Commutation Error of the Space Averaged Navier—Stokes 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))d—norm of the commutation error term.- 5. Error estimates in the (H-1(?))d—norm 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 ñ in some LES models.- References.- The Nonstationary Stokes and Navier—Stokes 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 Navier—Stokes 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.