Harmonic Maps and Ideal Fluid Flows
(2012) In Archive for Rational Mechanics and Analysis 204(2). p.479-513- Abstract
- 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/2570871
- author
- Aleman, Alexandru LU and Constantin, A.
- organization
- publishing date
- 2012
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Archive for Rational Mechanics and Analysis
- volume
- 204
- issue
- 2
- pages
- 479 - 513
- publisher
- Springer
- external identifiers
-
- wos:000302738000004
- scopus:84859701974
- ISSN
- 0003-9527
- DOI
- 10.1007/s00205-011-0483-2
- language
- English
- LU publication?
- yes
- id
- 267c8393-468a-4cb7-a121-fbaea3fc2ded (old id 2570871)
- date added to LUP
- 2016-04-01 10:16:41
- date last changed
- 2022-02-17 08:32:51
@article{267c8393-468a-4cb7-a121-fbaea3fc2ded, abstract = {{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.}}, author = {{Aleman, Alexandru and Constantin, A.}}, issn = {{0003-9527}}, language = {{eng}}, number = {{2}}, pages = {{479--513}}, publisher = {{Springer}}, series = {{Archive for Rational Mechanics and Analysis}}, title = {{Harmonic Maps and Ideal Fluid Flows}}, url = {{http://dx.doi.org/10.1007/s00205-011-0483-2}}, doi = {{10.1007/s00205-011-0483-2}}, volume = {{204}}, year = {{2012}}, }