Buch, Englisch, 152 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 418 g
Buch, Englisch, 152 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 418 g
Reihe: Advances in Mathematical Fluid Mechanics
ISBN: 978-3-7643-7104-3
Verlag: Springer
The mathematical theory of the Navier-Stokes equations presents fundamental open questions that represent many challenges for the interested mathematicians. This volume contains 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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
Weitere Infos & Material
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.
