Institute for applied mathematics

Christian Seis

Preprints    
  1. Christian Seis. The thin film equation close to self-similarity.
    [Preprint]
  2. 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]
  3. André Schlichting and Christian Seis. Analysis of the implicit upwind finite volume scheme with rough coefficients.
    [Preprint]
  4. Christian Seis. Optimal stability estimates for continuity equations. Accepted for publication in Proc. Roy. Soc. Edinburgh Sect. A.
    [Preprint]
  5. Christian Seis. Invariant manifolds for the porous medium equation.
    [Preprint]

 

Publications    
  1. André Schlichting and Christian Seis. Convergence rates for upwind schemes with rough coefficients. SIAM J. Numer. Anal. 55(2), 812–840, 2017.
    [Article, Preprint]
  2. Christian Seis. A quantitative theory for the continuity equation. Ann. Inst. H. Poincaré Anal. Non Linéaire (in press).
    [Article, Preprint]
  3. 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]
  4. 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]
  5. 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]
  6. 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]
  7. Christian Seis. Scaling bounds on dissipation in turbulent flows. J. Fluid Mech. 777: 591-603, 2015.
    [Article, Preprint]
  8. 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]
  9. 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]
  10. 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.

  11. Christian Seis. Laminar boundary layers in convective heat transport. Comm. Math. Phys. 324(3):995-1031, 2013.
    [Article, Preprint]
  12. 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]
  13. Luca Mugnai and Christian Seis. On the coarsening rates for attachment-limited kinetics. SIAM J. Math. Anal. 45(1):324-344, 2013.
    [Article, Preprint]
  14. Felix Otto and Christian Seis. Rayleigh-Bénard convection: Improved bounds on the Nusselt number. J. Math. Phys. 52(8):83702-83726, 2011.
    [Article, Preprint]
  15. 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    
  1. Christian Seis. Optimal stability estimates for continuity equations. In: Oberwolfach Reports (in prep.), 2017.
  2. 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.

 

 

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Prof. Jens Frehse (em.) hat die Golden Commemorative Medal der Fakultät für Mathematik und Physik der Karls-Universität Prag erhalten für sein außerordentliches wissenschaftliches Lebenswerk sowie für seine bedeutenden Beiträge zur Analysis Partieller Differentialgleichungen. (01.06.2018)

Die ehemalige Doktorandin am IAM, Lisa Hartung (aktuell: Courant Institute of Mathematical Sciences, New York), wurde für ihre herausragende Doktorarbeit "Extremal Processes in Branching Brownian Motion and Friends" (Betreuer: Prof. Bovier) mit dem Förderpreis der DMV-Fachgruppe Stochastik ausgezeichnet. Details hier. (14.03.2018)

Prof.  Patrik Ferrari erhält den ersten Alexandros Award zusammen mit Ivan Corwin (Columbia University) und Alexei Borodin (MIT) für den Artikel "Free energy fluctuations for directed polymers in random media in 1+1 dimensions".
Details siehe hier. (12.03.2018)

Frau Dr. Martina Vera Baar erhält den Hausdorff-Gedächtnispreis für die beste Dissertation des akademischen Jahres 2016/17 (Betreuer: Prof. Dr. A. Bovier, IAM). (Pressemitteilung, 24.01.2018)

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Institute for Applied Mathematics
University of Bonn
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D-53115 Bonn / Germany