| Issue |
Math. Model. Nat. Phenom.
Volume 7, Number 2, 2012
Solitary waves
|
|
|---|---|---|
| Page(s) | 77 - 82 | |
| DOI | https://doi.org/10.1051/mmnp/20127207 | |
| Published online | 29 February 2012 | |
Nonexistence of Coherent Structures in Two-dimensional Inviscid Channel Flow
University of Bergen, Department of Mathematics,
P.O. Box 7800, 5020
Bergen,
Norway
⋆ Corresponding author. E-mail: henrik.kalisch@math.uib.no
Two-dimensional inviscid channel flow of an incompressible fluid is considered. It is shown that if the flow is steady and features no horizontal stagnation, then the flow must necessarily be a parallel shear flow.
Mathematics Subject Classification: 35J15 / 35Q31 / 76E05
Key words: inviscid channel flow / hodograph transform / maximum principle / steady flow
© EDP Sciences, 2012
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