| Title | Harmonic Maps and Ideal Fluid Flows |
| Authors | Alexandru Aleman, A. Constantin |
| Alternative Location | http://dx.doi.org/10.1007/s..., Restricted Access |
| Publication | Archive for Rational Mechanics and Analysis |
| Year | 2012 |
| Volume | 204 |
| Issue | 2 |
| Pages | 479 - 513 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Publisher | Springer |
| Abstract English | Using harmonic maps we provide an approach towards obtaining explicit solutions to the incompressible two-dimensional Euler equations. More precisely, the problem of finding all solutions which in Lagrangian variables (describing the particle paths of the flow) present a labelling by harmonic functions is reduced to solving an explicit nonlinear differential system in C-n with n = 3 or n = 4. While the general solution is not available in explicit form, structural properties of the system permit us to identify several families of explicit solutions. |
| ISBN/ISSN/Other | ISSN: 0003-9527 |
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