Ceci, Stefano; Seis, Christian On the dynamics of vortices in viscous 2D flows. (English) Zbl 07802410 Math. Ann. 388, No. 2, 1937-1967 (2024). MSC: 35Q30 76D05 76D17 76D03 35A01 35A02 PDFBibTeX XMLCite \textit{S. Ceci} and \textit{C. Seis}, Math. Ann. 388, No. 2, 1937--1967 (2024; Zbl 07802410) Full Text: DOI arXiv OA License
de Nitti, Nicola; Meyer, David; Seis, Christian Optimal Regularity for the 2D Euler Equations in the Yudovich class. arXiv:2403.13691 Preprint, arXiv:2403.13691 [math.AP] (2024). MSC: 35Q35 76B03 76B47 35B65 BibTeX Cite \textit{N. de Nitti} et al., ``Optimal Regularity for the 2D Euler Equations in the Yudovich class'', Preprint, arXiv:2403.13691 [math.AP] (2024) Full Text: arXiv OA License
Beck, Lisa; Cinti, Eleonora; Seis, Christian Optimal regularity of isoperimetric sets with Hölder densities. (English) Zbl 1523.49044 Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 214, 20 p. (2023). Reviewer: Giorgio Saracco (Firenze) MSC: 49Q05 49Q20 49N60 35J93 35B65 PDFBibTeX XMLCite \textit{L. Beck} et al., Calc. Var. Partial Differ. Equ. 62, No. 8, Paper No. 214, 20 p. (2023; Zbl 1523.49044) Full Text: DOI arXiv
Seis, Christian Bounds on the rate of enhanced dissipation. (English) Zbl 1514.35324 Commun. Math. Phys. 399, No. 3, 2071-2081 (2023). MSC: 35Q30 76D05 76T30 35B65 35B05 PDFBibTeX XMLCite \textit{C. Seis}, Commun. Math. Phys. 399, No. 3, 2071--2081 (2023; Zbl 1514.35324) Full Text: DOI arXiv
Choi, Beomjun; McCann, Robert J.; Seis, Christian Asymptotics near extinction for nonlinear fast diffusion on a bounded domain. (English) Zbl 1509.35042 Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 16, 48 p. (2023). MSC: 35B40 35K20 35K59 35K65 PDFBibTeX XMLCite \textit{B. Choi} et al., Arch. Ration. Mech. Anal. 247, No. 2, Paper No. 16, 48 p. (2023; Zbl 1509.35042) Full Text: DOI arXiv
Choi, Beomjun; Seis, Christian Finite-dimensional leading order dynamics for the fast diffusion equation near extinction. arXiv:2308.15032 Preprint, arXiv:2308.15032 [math.AP] (2023). MSC: 35K55 35B40 35J61 35Q79 37L25 80A19 BibTeX Cite \textit{B. Choi} and \textit{C. Seis}, ``Finite-dimensional leading order dynamics for the fast diffusion equation near extinction'', Preprint, arXiv:2308.15032 [math.AP] (2023) Full Text: arXiv OA License
Navarro-Fernández, Víctor; Schlichting, André; Seis, Christian Optimal stability estimates and a new uniqueness result for advection-diffusion equations. (English) Zbl 1504.35096 Pure Appl. Anal. 4, No. 3, 571-596 (2022). MSC: 35B45 35B30 35B35 35K15 PDFBibTeX XMLCite \textit{V. Navarro-Fernández} et al., Pure Appl. Anal. 4, No. 3, 571--596 (2022; Zbl 1504.35096) Full Text: DOI arXiv
Nobili, Camilla; Seis, Christian Renormalization and energy conservation for axisymmetric fluid flows. (English) Zbl 1506.35142 Math. Ann. 382, No. 1-2, 1-36 (2022). MSC: 35Q30 35Q31 76D05 76B03 35B07 PDFBibTeX XMLCite \textit{C. Nobili} and \textit{C. Seis}, Math. Ann. 382, No. 1--2, 1--36 (2022; Zbl 1506.35142) Full Text: DOI arXiv
Seis, Christian; Winkler, Dominik A well-posedness result for a system of cross-diffusion equations. (English) Zbl 1470.35183 J. Evol. Equ. 21, No. 2, 2471-2489 (2021). MSC: 35K51 35K59 35A01 35A02 35D30 PDFBibTeX XMLCite \textit{C. Seis} and \textit{D. Winkler}, J. Evol. Equ. 21, No. 2, 2471--2489 (2021; Zbl 1470.35183) Full Text: DOI arXiv
Ceci, Stefano; Seis, Christian Vortex dynamics for 2D Euler flows with unbounded vorticity. (English) Zbl 1467.76024 Rev. Mat. Iberoam. 37, No. 5, 1969-1990 (2021). MSC: 76B47 76B03 35Q31 PDFBibTeX XMLCite \textit{S. Ceci} and \textit{C. Seis}, Rev. Mat. Iberoam. 37, No. 5, 1969--1990 (2021; Zbl 1467.76024) Full Text: DOI arXiv
Nussenzveig Lopes, Helena J.; Seis, Christian; Wiedemann, Emil On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity. (English) Zbl 1468.35121 Nonlinearity 34, No. 5, 3112-3121 (2021). MSC: 35Q31 35Q30 35D30 76D05 PDFBibTeX XMLCite \textit{H. J. Nussenzveig Lopes} et al., Nonlinearity 34, No. 5, 3112--3121 (2021; Zbl 1468.35121) Full Text: DOI arXiv
Seis, Christian A note on the vanishing viscosity limit in the Yudovich class. (English) Zbl 1464.35191 Can. Math. Bull. 64, No. 1, 112-122 (2021). MSC: 35Q30 76D09 35Q31 35B35 PDFBibTeX XMLCite \textit{C. Seis}, Can. Math. Bull. 64, No. 1, 112--122 (2021; Zbl 1464.35191) Full Text: DOI arXiv
Seis, Christian On the Littlewood-Paley spectrum for passive scalar transport equations. (English) Zbl 1434.76050 J. Nonlinear Sci. 30, No. 2, 645-656 (2020). MSC: 76F25 76F35 35K10 PDFBibTeX XMLCite \textit{C. Seis}, J. Nonlinear Sci. 30, No. 2, 645--656 (2020; Zbl 1434.76050) Full Text: DOI arXiv
Seis, Christian Optimal stability estimates for continuity equations. (English) Zbl 1406.35046 Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 6, 1279-1296 (2018). MSC: 35B35 35F10 35B30 37C10 PDFBibTeX XMLCite \textit{C. Seis}, Proc. R. Soc. Edinb., Sect. A, Math. 148, No. 6, 1279--1296 (2018; Zbl 1406.35046) Full Text: DOI arXiv
Seis, Christian The thin-film equation close to self-similarity. (English) Zbl 1388.35083 Anal. PDE 11, No. 5, 1303-1342 (2018). MSC: 35K30 35Q35 76A20 PDFBibTeX XMLCite \textit{C. Seis}, Anal. PDE 11, No. 5, 1303--1342 (2018; Zbl 1388.35083) Full Text: DOI arXiv
Seis, Christian A quantitative theory for the continuity equation. (English) Zbl 1377.35041 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1837-1850 (2017). MSC: 35B45 35A02 PDFBibTeX XMLCite \textit{C. Seis}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 34, No. 7, 1837--1850 (2017; Zbl 1377.35041) Full Text: DOI arXiv
Crippa, Gianluca; Nobili, Camilla; Seis, Christian; Spirito, Stefano Eulerian and Lagrangian solutions to the continuity and Euler equations with \(L^1\) vorticity. (English) Zbl 1379.35224 SIAM J. Math. Anal. 49, No. 5, 3973-3998 (2017). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 35R05 49Q20 PDFBibTeX XMLCite \textit{G. Crippa} et al., SIAM J. Math. Anal. 49, No. 5, 3973--3998 (2017; Zbl 1379.35224) Full Text: DOI arXiv
Jerrard, Robert L.; Seis, Christian On the vortex filament conjecture for Euler flows. (English) Zbl 1371.35205 Arch. Ration. Mech. Anal. 224, No. 1, 135-172 (2017). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q31 35B45 35B35 76B03 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{C. Seis}, Arch. Ration. Mech. Anal. 224, No. 1, 135--172 (2017; Zbl 1371.35205) Full Text: DOI arXiv
McCann, Robert J.; Seis, Christian The spectrum of a family of fourth-order nonlinear diffusions near the global attractor. (English) Zbl 1323.35062 Commun. Partial Differ. Equations 40, No. 2, 191-218 (2015). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K25 35K65 35B40 35C20 PDFBibTeX XMLCite \textit{R. J. McCann} and \textit{C. Seis}, Commun. Partial Differ. Equations 40, No. 2, 191--218 (2015; Zbl 1323.35062) Full Text: DOI arXiv
Seis, Christian Long-time asymptotics for the porous medium equation: the spectrum of the linearized operator. (English) Zbl 1293.35254 J. Differ. Equations 256, No. 3, 1191-1223 (2014). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35Q35 35B40 35P10 35J60 76S05 PDFBibTeX XMLCite \textit{C. Seis}, J. Differ. Equations 256, No. 3, 1191--1223 (2014; Zbl 1293.35254) Full Text: DOI arXiv
Otto, Felix; Seis, Christian; Slepčev, Dejan Crossover of the coarsening rates in demixing of binary viscous liquids. (English) Zbl 1325.35091 Commun. Math. Sci. 11, No. 2, 441-464 (2013). Reviewer: Philippe Laurençot (Toulouse) MSC: 35K55 35B40 35Q35 35G20 82C24 PDFBibTeX XMLCite \textit{F. Otto} et al., Commun. Math. Sci. 11, No. 2, 441--464 (2013; Zbl 1325.35091) Full Text: DOI
Seis, Christian Maximal mixing by incompressible fluid flows. (English) Zbl 1396.76042 Nonlinearity 26, No. 12, 3279-3289 (2013). MSC: 76F25 35B40 35Q35 PDFBibTeX XMLCite \textit{C. Seis}, Nonlinearity 26, No. 12, 3279--3289 (2013; Zbl 1396.76042) Full Text: DOI arXiv
Seis, Christian Laminar boundary layers in convective heat transport. (English) Zbl 1339.35249 Commun. Math. Phys. 324, No. 3, 995-1031 (2013). MSC: 35Q35 35B65 80A20 76R10 76R50 76D05 35Q79 PDFBibTeX XMLCite \textit{C. Seis}, Commun. Math. Phys. 324, No. 3, 995--1031 (2013; Zbl 1339.35249) Full Text: DOI arXiv
Mugnai, Luca; Seis, Christian On the coarsening rates for attachment-limited kinetics. (English) Zbl 1278.35016 SIAM J. Math. Anal. 45, No. 1, 324-344 (2013). Reviewer: Michael Herrmann (Saarbrücken) MSC: 35B36 74N20 80A22 PDFBibTeX XMLCite \textit{L. Mugnai} and \textit{C. Seis}, SIAM J. Math. Anal. 45, No. 1, 324--344 (2013; Zbl 1278.35016) Full Text: DOI Link
Brenier, Yann; Otto, Felix; Seis, Christian Upper bounds on coarsening rates in demixing binary viscous liquids. (English) Zbl 1226.82045 SIAM J. Math. Anal. 43, No. 1, 114-134 (2011). MSC: 82C26 35B40 76T99 76D07 35Q56 PDFBibTeX XMLCite \textit{Y. Brenier} et al., SIAM J. Math. Anal. 43, No. 1, 114--134 (2011; Zbl 1226.82045) Full Text: DOI Link