Muratov, Cyrill B.; Novaga, Matteo; Ruffini, Berardo Conducting flat drops in a confining potential. (English) Zbl 1489.49025 Arch. Ration. Mech. Anal. 243, No. 3, 1773-1810 (2022). Reviewer: Luca Esposito (Fisciano) MSC: 49Q10 49Q20 49S05 76M30 PDFBibTeX XMLCite \textit{C. B. Muratov} et al., Arch. Ration. Mech. Anal. 243, No. 3, 1773--1810 (2022; Zbl 1489.49025) Full Text: DOI arXiv
Bernand-Mantel, Anne; Muratov, Cyrill B.; Simon, Theresa M. A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree \(\pm 1\) harmonic maps from \(\mathbb{R}^2\) to \(\mathbb{S}^2\). (English) Zbl 1466.78007 Arch. Ration. Mech. Anal. 239, No. 1, 219-299 (2021). MSC: 78A30 82D40 35B40 35C08 49J20 74F15 74K35 PDFBibTeX XMLCite \textit{A. Bernand-Mantel} et al., Arch. Ration. Mech. Anal. 239, No. 1, 219--299 (2021; Zbl 1466.78007) Full Text: DOI arXiv
Muratov, Cyrill B.; Simon, Thilo M. A nonlocal isoperimetric problem with dipolar repulsion. (English) Zbl 1434.49032 Commun. Math. Phys. 372, No. 3, 1059-1115 (2019); correction ibid. 394, No. 3, 1361-1362 (2022). MSC: 49Q10 PDFBibTeX XMLCite \textit{C. B. Muratov} and \textit{T. M. Simon}, Commun. Math. Phys. 372, No. 3, 1059--1115 (2019; Zbl 1434.49032) Full Text: DOI arXiv
Knüpfer, Hans; Muratov, Cyrill B.; Novaga, Matteo Low density phases in a uniformly charged liquid. (English) Zbl 1346.49017 Commun. Math. Phys. 345, No. 1, 141-183 (2016). MSC: 49J45 49Q20 82D60 PDFBibTeX XMLCite \textit{H. Knüpfer} et al., Commun. Math. Phys. 345, No. 1, 141--183 (2016; Zbl 1346.49017) Full Text: DOI arXiv
Cesaroni, Annalisa; Muratov, Cyrill B.; Novaga, Matteo Front propagation in geometric and phase field models of stratified media. (English) Zbl 1319.35086 Arch. Ration. Mech. Anal. 216, No. 1, 153-191 (2015). Reviewer: Xingbin Pan (Shanghai) MSC: 35K57 35C07 35A15 35B40 53C44 PDFBibTeX XMLCite \textit{A. Cesaroni} et al., Arch. Ration. Mech. Anal. 216, No. 1, 153--191 (2015; Zbl 1319.35086) Full Text: DOI arXiv
Muratov, Cyrill B.; Zaleski, Anthony On an isoperimetric problem with a competing non-local term: quantitative results. (English) Zbl 1312.49053 Ann. Global Anal. Geom. 47, No. 1, 63-80 (2015). MSC: 49Q20 PDFBibTeX XMLCite \textit{C. B. Muratov} and \textit{A. Zaleski}, Ann. Global Anal. Geom. 47, No. 1, 63--80 (2015; Zbl 1312.49053) Full Text: DOI arXiv
Muratov, Cyrill B.; Knüpfer, Hans On an isoperimetric problem with a competing nonlocal term. II: The general case. (English) Zbl 1302.49064 Commun. Pure Appl. Math. 67, No. 12, 1974-1994 (2014). MSC: 49Q20 PDFBibTeX XMLCite \textit{C. B. Muratov} and \textit{H. Knüpfer}, Commun. Pure Appl. Math. 67, No. 12, 1974--1994 (2014; Zbl 1302.49064) Full Text: DOI arXiv
Goldman, Dorian; Muratov, Cyrill B.; Serfaty, Sylvia The \(\Gamma\)-limit of the two-dimensional Ohta-Kawasaki energy. Droplet arrangement via the renormalized energy. (English) Zbl 1305.35134 Arch. Ration. Mech. Anal. 212, No. 2, 445-501 (2014). Reviewer: Baasansuren Jadamba (Rochester) MSC: 35Q56 35Q82 82D55 49J45 35B40 PDFBibTeX XMLCite \textit{D. Goldman} et al., Arch. Ration. Mech. Anal. 212, No. 2, 445--501 (2014; Zbl 1305.35134) Full Text: DOI arXiv
Goldman, Dorian; Muratov, Cyrill B.; Serfaty, Sylvia The \(\varGamma\)-limit of the two-dimensional Ohta-Kawasaki energy. I: Droplet density. (English) Zbl 1296.82018 Arch. Ration. Mech. Anal. 210, No. 2, 581-613 (2013). MSC: 82B21 35Q82 35Q56 35R09 82D60 49S05 PDFBibTeX XMLCite \textit{D. Goldman} et al., Arch. Ration. Mech. Anal. 210, No. 2, 581--613 (2013; Zbl 1296.82018) Full Text: DOI arXiv
Knüpfer, Hans; Muratov, Cyrill B. On an isoperimetric problem with a competing nonlocal term. I: The planar case. (English) Zbl 1269.49087 Commun. Pure Appl. Math. 66, No. 7, 1129-1162 (2013). MSC: 49Q20 PDFBibTeX XMLCite \textit{H. Knüpfer} and \textit{C. B. Muratov}, Commun. Pure Appl. Math. 66, No. 7, 1129--1162 (2013; Zbl 1269.49087) Full Text: DOI arXiv
Muratov, Cyrill B. Droplet phases in non-local Ginzburg-Landau models with Coulomb repulsion in two dimensions. (English) Zbl 1205.82107 Commun. Math. Phys. 299, No. 1, 45-87 (2010). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C22 82B24 82D60 82D30 35Q55 PDFBibTeX XMLCite \textit{C. B. Muratov}, Commun. Math. Phys. 299, No. 1, 45--87 (2010; Zbl 1205.82107) Full Text: DOI arXiv
Muratov, C. B.; Novaga, M. Front propagation in infinite cylinders. II: The sharp reaction zone limit. (English) Zbl 1166.35387 Calc. Var. Partial Differ. Equ. 31, No. 4, 521-547 (2008). MSC: 35R35 35J60 35J20 PDFBibTeX XMLCite \textit{C. B. Muratov} and \textit{M. Novaga}, Calc. Var. Partial Differ. Equ. 31, No. 4, 521--547 (2008; Zbl 1166.35387) Full Text: DOI