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Journal Article
Kohout, James, Rupflin, Melanie and Topping, Peter (2022) Uniqueness and nonuniqueness of limits of teichmuller harmonic map flow. Advances in Calculus of Variations, 15 (3). pp. 369-384. doi:10.1515/acv-2019-0086 ISSN 1864-8258.
Rupflin, Melanie and Topping, Peter (2019) Global weak solutions of the TeichmΓΌller harmonic map flow into general targets. Analysis & PDE, 12 (3). pp. 815-842. doi:10.2140/apde.2019.12.815 ISSN 2157-5045.
Rupflin, Melanie and Topping, Peter (2018) Horizontal curves of hyperbolic metrics. Calculus of Variations and Partial Differential Equations, 57 . 106. doi:10.1007/s00526-018-1386-y ISSN 0944-2669.
Rupflin, Melanie and Topping, Peter (2018) TeichmΓΌller harmonic map flow into nonpositively curved targets. Journal of Differential Geometry, 108 (1). pp. 135-184. doi:10.4310/jdg/1513998032 ISSN 0022-040X.
Rupflin, Melanie and Topping, Peter (2016) Flowing maps to minimal surfaces. American Journal of Mathematics, 138 (4). pp. 1095-1115. doi:10.1353/ajm.2016.0035 ISSN 0002-9327.
Huxol, Tobias, Rupflin, Melanie and Topping, Peter (2016) Refined asymptotics of the Teichmuller harmonic map flow into general targets. Calculus of Variations and Partial Differential Equations, 55 (85). doi:10.1007/s00526-016-1019-2 ISSN 0944-2669.
Rupflin, Melanie and Topping, Peter (2015) A uniform PoincarΓ© estimate for quadratic differentials on closed surfaces. Calculus of Variations and Partial Differential Equations, Volume 53 (Number 3-4). pp. 587-604. doi:10.1007/s00526-014-0759-0 ISSN 0944-2669.
Rupflin, Melanie, Topping, Peter and Zhu, Miaomiao (2013) Asymptotics of the TeichmΓΌller harmonic map flow. Advances in Mathematics, Volume 244 . pp. 874-893. doi:10.1016/j.aim.2013.05.021 ISSN 0001-8708.
Germain, Pierre and Rupflin, Melanie (2011) Selfsimilar expanders of the harmonic map flow. Annales de l'Institut Henri Poincare (C) Non Linear Analysis , Vol.28 (No.5). pp. 743-773. doi:10.1016/j.anihpc.2011.06.004 ISSN 0294-1449.
Rupflin, Melanie (2009) Heteroclinic connection of periodic solutions of delay differential equations. Journal of Dynamics and Differential Equations, Vol.21 (No.1). pp. 45-71. doi:10.1007/s10884-008-9123-4 ISSN 1040-7294.
Rupflin, Melanie (2008) An improved uniqueness result for the harmonic map flow in two dimensions. Calculus of Variations and Partial Differential Equations, Vol.33 (No.3). pp. 329-341. doi:10.1007/s00526-008-0164-7 ISSN 0944-2669.
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