Skip Nav Destination

Issues

Select Decade

Select Year

Issue

Volume 48, Issue 6

June 2007

All Issues

ISSN 0022-2488

EISSN 1089-7658

In this Issue

SPECIAL ISSUE: MATHEMATICAL FLUID DYNAMICS

SPECIAL ISSUE: MATHEMATICAL FLUID DYNAMICS

Introduction to Special Issue: Mathematical Fluid Dynamics

Charles R. Doering; Paul K. Newton

J. Math. Phys. 48, 065101 (2007) https://doi.org/10.1063/1.2742805

Extract

View articletitled, Introduction to Special Issue: Mathematical Fluid Dynamics

Open the PDF for in another window

Vanishing Viscosity Limits and the Relation Between Navier-Stokes and Euler Systems

Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point

Chang-Yeol Jung; Roger Temam

J. Math. Phys. 48, 065301 (2007) https://doi.org/10.1063/1.2347899

Abstract

View articletitled, Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point

Open the PDF for in another window

Vanishing viscosity limit for an incompressible fluid with concentrated vorticity

Carlo Marchioro

J. Math. Phys. 48, 065302 (2007) https://doi.org/10.1063/1.2347901

Abstract

View articletitled, Vanishing viscosity limit for an incompressible fluid with concentrated vorticity

Open the PDF for in another window

Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows

Wenfang (Wendy) Cheng; Xiaoming Wang

J. Math. Phys. 48, 065303 (2007) https://doi.org/10.1063/1.2399752

Abstract

View articletitled, Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows

Open the PDF for in another window

Regularity Results and Analytical Estimates for Navier-Stokes and Related Systems

Derivation of the viscous Moore-Greitzer equation for aeroengine flow

Björn Birnir; Songming Hou; Niklas Wellander

J. Math. Phys. 48, 065209 (2007) https://doi.org/10.1063/1.2534332

Abstract

View articletitled, Derivation of the viscous Moore-Greitzer equation for aeroengine flow

Open the PDF for in another window

Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane

R. Dascaliuc; C. Foias; M. S. Jolly

J. Math. Phys. 48, 065201 (2007) https://doi.org/10.1063/1.2710349

Abstract

View articletitled, Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane

Open the PDF for in another window

Estimates for the two-dimensional Navier–Stokes equations in terms of the Reynolds number

J. D. Gibbon; G. A. Pavliotis

J. Math. Phys. 48, 065202 (2007) https://doi.org/10.1063/1.2356912

Abstract

View articletitled, Estimates for the two-dimensional Navier–Stokes equations in terms of the Reynolds number

Open the PDF for in another window

Navier-Stokes equations with regularity in one direction

Igor Kukavica; Mohammed Ziane

J. Math. Phys. 48, 065203 (2007) https://doi.org/10.1063/1.2395919

Abstract

View articletitled, Navier-Stokes equations with regularity in one direction

Open the PDF for in another window

A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations

Sergei I. Chernyshenko; Peter Constantin; James C. Robinson; Edriss S. Titi

J. Math. Phys. 48, 065204 (2007) https://doi.org/10.1063/1.2372512

Abstract

View articletitled, A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations

Open the PDF for in another window

A blow-up problem of a class of axisymmetric Navier-Stokes equations with infinite energy

K. Ohkitani

J. Math. Phys. 48, 065205 (2007) https://doi.org/10.1063/1.2347898

Abstract

View articletitled, A blow-up problem of a class of axisymmetric Navier-Stokes equations with infinite energy

Open the PDF for in another window

Analytical behavior of two-dimensional incompressible flow in porous media

Diego Córdoba; Francisco Gancedo; Rafael Orive

J. Math. Phys. 48, 065206 (2007) https://doi.org/10.1063/1.2404593

Abstract

View articletitled, Analytical behavior of two-dimensional incompressible flow in porous media

Open the PDF for in another window

Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle

Giovanni P. Galdi

J. Math. Phys. 48, 065207 (2007) https://doi.org/10.1063/1.2425099

Abstract

View articletitled, Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle

Open the PDF for in another window

Energy dissipation in fractal-forced flow

Alexey Cheskidov; Charles R. Doering; Nikola P. Petrov

J. Math. Phys. 48, 065208 (2007) https://doi.org/10.1063/1.2425101

Abstract

View articletitled, Energy dissipation in fractal-forced flow

Open the PDF for in another window

Mathematical Issues Related to Discrete Vortex and Dynamical Systems Representations of Fluid Flows

Point vortex dynamics: A classical mathematics playground

Hassan Aref

J. Math. Phys. 48, 065401 (2007) https://doi.org/10.1063/1.2425103

Abstract

View articletitled, Point vortex dynamics: A classical mathematics playground

Open the PDF for in another window

Studies of perturbed three vortex dynamics

Denis Blackmore; Lu Ting; Omar Knio

J. Math. Phys. 48, 065402 (2007) https://doi.org/10.1063/1.2428272

Abstract

View articletitled, Studies of perturbed three vortex dynamics

Open the PDF for in another window

Dynamic interaction of point vortices and a two-dimensional cylinder

Alexey V. Borisov; Ivan S. Mamaev; Sergey M. Ramodanov

J. Math. Phys. 48, 065403 (2007) https://doi.org/10.1063/1.2425100

Abstract

View articletitled, Dynamic interaction of point vortices and a two-dimensional cylinder

Open the PDF for in another window

Lagrangian coherent structures in $n$ -dimensional systems

Francois Lekien; Shawn C. Shadden; Jerrold E. Marsden

J. Math. Phys. 48, 065404 (2007) https://doi.org/10.1063/1.2740025

Abstract

View articletitled, Lagrangian coherent structures in <math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">n</mi></math>-dimensional systems

Open the PDF for in another window

Reduced models for fluid flows with strong constraints

Keith Julien; Edgar Knobloch

J. Math. Phys. 48, 065405 (2007) https://doi.org/10.1063/1.2741042

Abstract

View articletitled, Reduced models for fluid flows with strong constraints

Open the PDF for in another window

Statistical Fluid Dynamics and Turbulence Models

Note on the emergence of large scale coherent structure under small scale random bombardments: The discrete case

Andrew Majda; Xiaoming Wang

J. Math. Phys. 48, 065501 (2007) https://doi.org/10.1063/1.2424424

Abstract

View articletitled, Note on the emergence of large scale coherent structure under small scale random bombardments: The discrete case

Open the PDF for in another window

Transparent boundary conditions as dissipative subgrid closures for the spectral representation of scalar advection by shear flows

Marcel Oliver; Oliver Bühler

J. Math. Phys. 48, 065502 (2007) https://doi.org/10.1063/1.2668705

Abstract

View articletitled, Transparent boundary conditions as dissipative subgrid closures for the spectral representation of scalar advection by shear flows

Open the PDF for in another window

Inviscid dyadic model of turbulence: The fixed point and Onsager’s conjecture

Alexey Cheskidov; Susan Friedlander; Nataša Pavlović

J. Math. Phys. 48, 065503 (2007) https://doi.org/10.1063/1.2395917

Abstract

View articletitled, Inviscid dyadic model of turbulence: The fixed point and Onsager’s conjecture

Open the PDF for in another window

Analytical study of certain magnetohydrodynamic- $α$ models

Jasmine S. Linshiz; Edriss S. Titi

J. Math. Phys. 48, 065504 (2007) https://doi.org/10.1063/1.2360145

Abstract

View articletitled, Analytical study of certain magnetohydrodynamic-<math xmlns="http://www.w3.org/1998/Math/MathML"><mi xmlns="">α</mi></math> models

Open the PDF for in another window

Geophysical Fluid Dynamics Models

Two-layer quasigeostrophic potential vorticity model

Mohamed I. Jamaloodeen; Paul K. Newton

J. Math. Phys. 48, 065601 (2007) https://doi.org/10.1063/1.2469221

Abstract

View articletitled, Two-layer quasigeostrophic potential vorticity model

Open the PDF for in another window

Stratified rotating Boussinesq equations in geophysical fluid dynamics: Dynamic bifurcation and periodic solutions

Chun-Hsiung Hsia; Tian Ma; Shouhong Wang

J. Math. Phys. 48, 065602 (2007) https://doi.org/10.1063/1.2710350

Abstract

View articletitled, Stratified rotating Boussinesq equations in geophysical fluid dynamics: Dynamic bifurcation and periodic solutions

Open the PDF for in another window

Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system

Chjan C. Lim

J. Math. Phys. 48, 065603 (2007) https://doi.org/10.1063/1.2347900

Abstract

View articletitled, Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system

Open the PDF for in another window

Submit your article

Sign up for alerts

RSS

Current Issue RSS Feed

Open Issues RSS Feed

Most Read
Most Cited

Removability of the fundamental singularity for the heat equation and its consequences

Ugur G. Abdulla

Cascades of scales: Applications and mathematical methodologies

Luigi Delle Site, Rupert Klein, et al.

New directions in disordered systems: A conference in honor of Abel Klein

A. Elgart, F. Germinet, et al.

SPECIAL ISSUE: MATHEMATICAL FLUID DYNAMICS

Introduction to Special Issue: Mathematical Fluid Dynamics

Vanishing Viscosity Limits and the Relation Between Navier-Stokes and Euler Systems

Asymptotic analysis for singularly perturbed convection-diffusion equations with a turning point

Vanishing viscosity limit for an incompressible fluid with concentrated vorticity

Discrete Kato-type theorem on inviscid limit of Navier-Stokes flows

Regularity Results and Analytical Estimates for Navier-Stokes and Related Systems

Derivation of the viscous Moore-Greitzer equation for aeroengine flow

Universal bounds on the attractor of the Navier-Stokes equation in the energy, enstrophy plane

Estimates for the two-dimensional Navier–Stokes equations in terms of the Reynolds number

Navier-Stokes equations with regularity in one direction

A posteriori regularity of the three-dimensional Navier–Stokes equations from numerical computations

A blow-up problem of a class of axisymmetric Navier-Stokes equations with infinite energy

Analytical behavior of two-dimensional incompressible flow in porous media

Further properties of steady-state solutions to the Navier-Stokes problem past a three-dimensional obstacle

Energy dissipation in fractal-forced flow

Mathematical Issues Related to Discrete Vortex and Dynamical Systems Representations of Fluid Flows

Point vortex dynamics: A classical mathematics playground

Studies of perturbed three vortex dynamics

Dynamic interaction of point vortices and a two-dimensional cylinder

Lagrangian coherent structures in $n$ -dimensional systems

Reduced models for fluid flows with strong constraints

Statistical Fluid Dynamics and Turbulence Models

Note on the emergence of large scale coherent structure under small scale random bombardments: The discrete case

Transparent boundary conditions as dissipative subgrid closures for the spectral representation of scalar advection by shear flows

Inviscid dyadic model of turbulence: The fixed point and Onsager’s conjecture

Analytical study of certain magnetohydrodynamic- $α$ models

Geophysical Fluid Dynamics Models

Two-layer quasigeostrophic potential vorticity model

Stratified rotating Boussinesq equations in geophysical fluid dynamics: Dynamic bifurcation and periodic solutions

Energy extremals and nonlinear stability in a variational theory of a coupled barotropic flow - Rotating solid sphere system

Submit your article

Sign up for alerts

RSS

Resources

Explore

pubs.aip.org

Connect with AIP Publishing

Issues

SPECIAL ISSUE: MATHEMATICAL FLUID DYNAMICS

Vanishing Viscosity Limits and the Relation Between Navier-Stokes and Euler Systems

Regularity Results and Analytical Estimates for Navier-Stokes and Related Systems

Mathematical Issues Related to Discrete Vortex and Dynamical Systems Representations of Fluid Flows

Statistical Fluid Dynamics and Turbulence Models

Geophysical Fluid Dynamics Models

RSS

Resources

Explore

pubs.aip.org

Connect with AIP Publishing

This Feature Is Available To Subscribers Only