Abstract
We prove existence of maximisers for a variational problem for a steady vortex anomaly of bounded extent in a uniform shear flow in ℝ2. Kinetic energy is maximised subject to the vorticity being a rearrangement of a prescribed function, and subject to a linear pseudo-impulse constraint.
Original language | English |
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Pages (from-to) | 1341-1365 |
Number of pages | 25 |
Journal | Communications in Partial Differential Equations |
Volume | 24 |
Issue number | 7-8 |
DOIs | |
Publication status | Published - 1999 |
Externally published | Yes |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Burton, G. R., & Emamizadeh, B. (1999). A constrained variational problem for steady vortices in a shear flow. Communications in Partial Differential Equations, 24(7-8), 1341-1365. https://doi.org/10.1080/03605309908821467