Published August 29, 2008 | Version v1
Journal article

The 2D constrained Navier-Stokes equation and intermediate asymptotics

  • 1. Dipartimento di Matematica, Universita di Roma 'La Sapienza', P.le Aldo Moro 2, 00185 Roma (Italy)
  • 2. CNRS, Laboratoire Deudonne, Universite de Nice, Parc Valrose, 06108 Nice Cedex 2 (France)

Description

We introduce a modified version of the two-dimensional Navier-Stokes equation, preserving energy and momentum of inertia, which is motivated by the occurrence of different dissipation time scales and is related to the gradient flow structure of the 2D Navier-Stokes equation. The hope is to understand intermediate asymptotics. The analysis we present here is purely formal. A rigorous study of this equation will be done in a forthcoming paper

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8113/41/34/344001

Additional details

Identifiers

DOI
10.1088/1751-8113/41/34/344001;
PII
S1751-8113(08)68718-1;

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
41
Journal Issue
34
Journal Page Range
[9 p.]
ISSN
1751-8121

Conference

Title
Lectures dedicated to Darryl Holm on the occasion of his 60. birthday
Dates
22-28 Jul 2007
Place
Lausanne (Switzerland)

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
39104901
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
ASYMPTOTIC SOLUTIONS; MOMENT OF INERTIA; NAVIER-STOKES EQUATIONS; TWO-DIMENSIONAL CALCULATIONS
Descriptors DEC
DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS