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A Partial Differential Equation Arising in a 1D Model for the 3D Vorticity Equation

✍ Scribed by Salvatore De Gregorio

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
901 KB
Volume
19
Category
Article
ISSN
0170-4214

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✦ Synopsis

We continue the study of the one-dimensional model for the vorticity equation considered in [4]. The partial differential equation u,, + uuXy = u,uy + vuyrr is deduced, which appears as a generalization of the Burgers' equation, with possibly some connection also to the K dV equation. Some properties of this equation are given and propagating solutions are found which are of soliton type, both with non-compact and compact support.

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