Desingularization of Vortices for the Euler Equation
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2010/02/25
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Indian UGC (journal)
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Refrences47
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Citations64
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Didier Smets
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Jean Van Schaftingen
Cite
Smets, Didier, and Jean Van Schaftingen. “Desingularization of Vortices for the Euler Equation”. Archive for Rational Mechanics and Analysis, vol. 198, no. 3, 2010, pp. 869-25, https://doi.org/10.1007/s00205-010-0293-y.
Smets, D., & Van Schaftingen, J. (2010). Desingularization of Vortices for the Euler Equation. Archive for Rational Mechanics and Analysis, 198(3), 869-925. https://doi.org/10.1007/s00205-010-0293-y
Smets D, Van Schaftingen J. Desingularization of Vortices for the Euler Equation. Archive for Rational Mechanics and Analysis. 2010;198(3):869-925.
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Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Concentrating solutions for a planar elliptic problem involving nonlinearities with large exponent | Journal of Differential Equations |
| 57 | 2006 |
| 10.1137/S003614100343055X | SIAM Journal on Mathematical Analysis |
| 2005 | |
| Singular limits in Liouville-type equations | Calculus of Variations and Partial Differential Equations |
| 144 | 2005 |
| Three nodal solutions of singularly perturbed elliptic equations on domains without topology | Annales de l'Institut Henri Poincaré C, Analyse non linéaire |
| 137 | 2005 |
| 10.12775/TMNA.2003.025 | Topological Methods in Nonlinear Analysis |
| 2003 |
Refrences Analysis
The category
Science: Mathematics 13
is the most frequently represented among the references in this article. It primarily includes studies from Acta Mathematica and Communications in Mathematical Physics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Citations Analysis
The category
Science: Mathematics 62
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Regularization of Point Vortices Pairs for the Euler Equation in Dimension Two and was published in 2013. The most recent citation comes from a 2024 study titled Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity. This article reached its peak citation in 2023, with 13 citations. It has been cited in 31 different journals, 3% of which are open access. Among related journals, the Journal of Differential Equations cited this research the most, with 12 citations. The chart below illustrates the annual citation trends for this article.