A table of solutions of the one-dimensional Burgers equation-Reference-Cited by-同舟云学术

A table of solutions of the one-dimensional Burgers equation

Published:1972 Issue:2 Volume:30 Page:195-212
ISSN:0033-569X
Container-title:Quarterly of Applied Mathematics
language:en
Short-container-title:Quart. Appl. Math.

Author:

Benton Edward R.,Platzman George W.

Abstract

The literature relating to the one-dimensional Burgers equation is surveyed. About thirty-five distinct solutions of this equation are classified in tabular form. The physically interesting cases are illustrated by means of isochronal graphs.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics

Link

http://www.ams.org/qam/1972-30-02/S0033-569X-1972-0306736-4/S0033-569X-1972-0306736-4.pdf

Reference71 articles.

1. Lossless propagation of one-dimensional, finite amplitude sound waves;Banta, Edwin D.;J. Math. Anal. Appl.,1965

2. M\'{e}mor. Sci. Math., Fasc. CLIII;Bass, J.,1962

3. H. Bateman, Some recent researches on the motion of fluids, Mon. Weather Rev. 43, 163–170 (1915)

4. On new and direct computational approaches to some mathematical models of turbulence;Bellman, R.;Quart. Appl. Math.,1965

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