The three-dimensional Euler equations : singular or non-singular?
Gibbon, J. D., Bustamante, Miguel D. and Kerr, Robert M. (Robert McDougall), 1954-. (2008) The three-dimensional Euler equations : singular or non-singular? Nonlinearity, Volume 21 (Number 8). T123-T129. ISSN 0951-7715Full text not available from this repository.
Official URL: http://dx.doi.org/10.1088/0951-7715/21/8/T02
One of the outstanding open questions in modern applied mathematics is whether solutions of the incompressible Euler equations develop a singularity in the vorticity field in a finite time. This paper briefly reviews some of the issues concerning this problem, together with some observations that may suggest that it may be more subtle than first thought.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics
Q Science > QC Physics
|Divisions:||Faculty of Science > Engineering
Faculty of Science > Mathematics
|Library of Congress Subject Headings (LCSH):||Time-series analysis, Symmetry (Physics), Singularities (Mathematics), Mathematical models, Turbulence, Fluid dynamics, Equations of motion|
|Journal or Publication Title:||Nonlinearity|
|Publisher:||Institute of Physics Publishing Ltd.|
|Number of Pages:||7|
|Access rights to Published version:||Restricted or Subscription Access|
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