Christian Seis
Preprints- Christian Seis.
The thin film equation close to self-similarity.
[Preprint] - Gianluca Crippa, Camilla Nobili, Christian Seis and Stefano Spirito.
Eulerian and Lagrangian solutions to the continuity and Euler equations with $L^1$ vorticity.
Accepted for publication in SIAM J. Math. Anal.
[Preprint] - André Schlichting and Christian Seis. Analysis of the implicit upwind finite
volume scheme with rough coefficients.
[Preprint] - Christian Seis. Optimal stability estimates for continuity equations.
Accepted for publication in Proc. Roy. Soc. Edinburgh Sect. A.
[Preprint] - Christian Seis. Invariant manifolds for the porous medium equation.
[Preprint]
Publications
- André Schlichting and Christian Seis. Convergence rates for upwind schemes with rough coefficients.
SIAM J. Numer. Anal. 55(2), 812–840, 2017.
[Article, Preprint] - Christian Seis. A quantitative theory for the continuity equation.
Ann. Inst. H. Poincaré Anal. Non Linéaire (in press).
[Article, Preprint] - Robert L. Jerrard and Christian Seis. On the vortex filament conjecture for Euler flows.
Arch. Ration. Mech. Anal. 224(1), 135-172, 2017.
[Article, Preprint] - Luca Mugnai, Christian Seis, and Emanuele Spadaro. Global solutions to the
volume-preserving mean-curvature flow.
Calc. Var. and PDE. 55 (2016), no. 1, 55:18.
[Article, Preprint] - Jonathan Korman, Robert J. McCann, and Christian Seis. An elementary approach to linear programming
duality with application to capacity constrained
transport. J. Convex Analysis 3:797-808, 2015.
[Article, Preprint] - Jonathan Korman, Robert J. McCann, and Christian Seis. Dual potentials for capacity constrained
optimal transport. Calc. Var. and PDE 54(1):573-584, 2015.
[Article, Preprint] - Christian Seis. Scaling bounds on dissipation in turbulent flows.
J. Fluid Mech. 777: 591-603, 2015.
[Article, Preprint] - Robert J. McCann and Christian Seis. The spectrum of a family of fourth-order diffusions
near the global attractor.
Comm. Partial Differential Equations 40(2): 191-218, 2015.
[Article, Preprint] - Christian Seis. Long-time asymptotics for the porous medium equation:
The spectrum of the linearized operator. J. Differential Equations
256(3):1191-1223, 2014.
[Article, Preprint] - Christian Seis. Maximal mixing by incompressible fluid flows. Nonlinearity
26(12):3279-3289, 2013.
[Article, Preprint]This work has been selected for inclusion in the Nonlinearity 2013 Highlights Collection.
- Christian Seis. Laminar boundary layers in convective heat transport.
Comm. Math. Phys. 324(3):995-1031, 2013.
[Article, Preprint] - Felix Otto, Christian Seis, and Dejan Slepčev. Crossover in the coarsening rates in
demixing binary viscous liquids. Comm. Math. Sci. 11(2):441-464, 2013.
[Article, Preprint] - Luca Mugnai and Christian Seis. On the coarsening rates for attachment-limited kinetics.
SIAM J. Math. Anal. 45(1):324-344, 2013.
[Article, Preprint] - Felix Otto and Christian Seis. Rayleigh-Bénard convection: Improved bounds on the
Nusselt number. J. Math. Phys. 52(8):83702-83726, 2011.
[Article, Preprint] - Yann Brenier, Felix Otto, and Christian Seis. Upper bounds on coarsening rates in
demixing binary viscous liquids. SIAM J. Math. Anal. 43(1):114-134, 2011.
[Article, Preprint]
Reports
- Christian Seis. Optimal stability estimates for continuity equations. In: Oberwolfach Reports (in prep.), 2017.
- Christian Seis. On the coarsening rates in demixing binary viscous liquids. In: Oberwolfach Reports 55:3160-3161, 2011.
Theses
- Christian Seis. Skalierungsgesetze in zwei Modellen für thermodynamisch getriebene Fluidflüsse [Scaling laws in two models for thermodynamically driven fluid flows]. Dissertation. Universität Leipzig, Germany, 2011.
- Christian Seis. Instabilität blockierter Zustände in ferromagnetischen dünnen Filmen [Instability of blocked states in ferromagnetic thin films]. Diploma thesis. Universität Bonn, Germany, 2008.
