PROF. DR. CHRISTIAN SEIS
Institut für Analysis und Numerik
Orléans-Ring 10
48149 Münster
Office 120.027
Phone: +49 251 83 35142
Curriculum vitae
since 2017 Professor, University of Münster
2014–2017 Lecturer, University of Bonn
2011–2014 Postdoctoral Fellow, University of Toronto, Canada
2011 Doctorate in Mathematics (Dr. rer. nat.), University of Leipzig
2010–2011 Research Assistant, Max Planck Institute for Mathematics in the Science (MPI-MIS), Leipzig
2008–2010 Research Assistant, University of Bonn
2008 Diplom in Mathematics, University of Bonn
Awards/Honors2013 Nonlinearity 2013 Highlights Collection: Maximal mixing by incompressible flows
2010–2012 Oberwolfach Leibniz Graduate Student
2008 Diplom “mit Auszeichung”, University of Bonn
Publications
published
- . . ‘Propagation of regularity for transport equations. A Littlewood-Paley approach.’ Indiana University Mathematics Journal 73, № 2: 445–473.
- . . ‘On the dynamics of vortices in viscous 2D flows.’ Mathematische Annalen 388: 1937–1967. doi: 10.1007/s00208-023-02568-z.
- . . ‘Invariant Manifolds for the Thin Film Equation.’ Archive for Rational Mechanics and Analysis 248, № 2. doi: 10.1007/s00205-024-01968-y.
- . . ‘Finite-dimensional leading order dynamics for the fast diffusion equation near extinction.’ Discrete and Continuous Dynamical Systems - Series A 44, № 9: 2697–2712. doi: 10.3934/dcds.2024043.
- . . ‘Fine large-time asymptotics for the axisymmetric Navier-Stokes equations.’ Journal of Evolution Equations 24: 72. doi: 10.1007/s00028-024-01001-5.
- . . ‘Asymptotics near extinction for nonlinear fast diffusion on a bounded domain.’ Archive for Rational Mechanics and Analysis 247: 16. doi: 10.1007/s00205-023-01850-3.
- . . ‘Optimal regularity of isoperimetric sets with Hölder densities.’ Calculus of Variations and Partial Differential Equations 62, № 214. doi: 10.1007/s00526-023-02542-2.
- . . ‘The Scharfetter-Gummel scheme for aggregation-diffusion equations.’ IMA Journal of Numerical Analysis 42, № 3. doi: 10.1093/imanum/drab039.
- . . ‘Bounds on the rate of enhanced dissipation.’ Communications in Mathematical Physics Online first. doi: 10.1007/s00220-022-04588-3.
- . . ‘Renormalization and energy conservation for axisymmetry fluid flows.’ Mathematische Annalen 382: 1–36. doi: 10.1007/s00208-020-02050-0.
- . . ‘Optimal stability estimates and a new uniqueness result for advection-diffusion equations.’ Pure and Applied Analysis 4, № 3: 571–596. doi: 10.2140/paa.2022.4.571.
- . . ‘On the dynamics of point vortices for the 2D Euler equation with Lp vorticity.’ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380, № 2226. doi: 10.1098/rsta.2021.0046.
- . . ‘A note on the vanishing viscosity limit in the Yudovich class.’ Canadian Mathematical Bulletin 64, № 1: 112–122. doi: 10.4153/S0008439520000296.
- . . ‘Vortex dynamics for 2D Euler flows with unbounded vorticity.’ Revista Matematica Iberoamericana 37, № 5: 1969–1990. doi: 10.4171/rmi/1255.
- . . ‘On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity.’ Nonlinearity 34, № 5: 3112–3121. doi: 10.1088/1361-6544/abe51f.
- . . ‘A well-posedness result for a system of cross-diffusion equations.’ Journal of Evolution Equations 21, № 2: 2471–2489. doi: 10.1007/s00028-021-00690-6.
- . . ‘On the Littlewood-Paley spectrum for passive scalar transport equations.’ Journal of Nonlinear Science 30, № 2: 645–656. doi: 10.1007/s00332-019-09585-w.
- . . ‘Optimal stability estimates for continuity equations.’ Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, № A: 1279–1296. doi: 10.1017/S0308210518000173.
- . . ‘The thin film equation close to self-similarity.’ Analysis and PDE 11, № 5: 1303–1342. doi: 10.2140/apde.2018.11.1303.
- . ‘Analysis of the implicit upwind finite volume scheme with rough coefficients.’ Numerische Mathematik 139, № 1: 155–186. doi: 10.1007/s00211-017-0935-1.
- . ‘Convergence rates for upwind schemes with rough coefficients.’ SIAM Journal on Numerical Analysis 55, № 2: 812–840. doi: 10.1137/16M1084882.
- . . ‘Eulerian and Lagrangian solutions to the continuity and Euler equations with $L^1$ vorticity.’ SIAM Journal on Mathematical Analysis 49, № 5: 3973–3998. doi: 10.1137/17M1130988.
- . . ‘Optimal stability estimates for continuity equations.’ Oberwolfach Reports 14, № 1. doi: 10.4171/OWR/2017/7.
- . ‘On the Vortex Filament Conjecture for Euler Flows.’ Archive for Rational Mechanics and Analysis 224, № 1: 135–172. doi: 10.1007/s00205-016-1070-3.
- . ‘Global solutions to the volume-preserving mean-curvature flow.’ Calculus of Variations and Partial Differential Equations 55, № 1: 1–23. doi: 10.1007/s00526-015-0943-x.
- . ‘A quantitative theory for the continuity equation.’ Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 34, № 7: 1837–1850. doi: 10.1016/j.anihpc.2017.01.001.
- . ‘Dual potentials for capacity constrained optimal transport.’ Calculus of Variations and Partial Differential Equations 54, № 1: 573–584. doi: 10.1007/s00526-014-0795-9.
- . ‘An elementary approach to linear programming duality with application to capacity constrained transport.’ Journal of Convex Analysis 22, № 3: 797–808.
- . ‘Scaling bounds on dissipation in turbulent flows.’ Journal of Fluid Mechanics 777: 591–603. doi: 10.1017/jfm.2015.384.
- . ‘The Spectrum of a Family of Fourth-Order Nonlinear Diffusions Near the Global Attractor.’ Communications in Partial Differential Equations 40, № 2: 191–218. doi: 10.1080/03605302.2014.963605.
- . ‘Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator.’ Journal of Differential Equations 256, № 3: 1191–1223. doi: 10.1016/j.jde.2013.10.013.
- . ‘Laminar Boundary Layers in Convective Heat Transport.’ Communications in Mathematical Physics 324, № 3: 995–1031. doi: 10.1007/s00220-013-1826-7.
- . . ‘On the coarsening rates for attachment-limited kinetics.’ SIAM Journal on Mathematical Analysis 45, № 1: 324–344. doi: 10.1137/120865197.
- . ‘Crossover of the coarsening rates in demixing of binary viscous liquids.’ Communications in Mathematical Sciences 11, № 2: 441–464.
- . ‘Maximal mixing by incompressible fluid flows.’ Nonlinearity 26, № 12: 3279–3289. doi: 10.1088/0951-7715/26/12/3279.
- . . ‘On the coarsening rates in demixing binary viscous liquids.’ Oberwolfach Reports 8, № 4. doi: 10.4171/OWR/2011/55.
- . . Scaling laws in two models for thermodynamically driven fluid flows Dissertation thesis, Universität Leipzig. Leipzig.
- . ‘Rayleigh-Bénard convection: Improved bounds on the Nusselt number.’ Journal of Mathematical Physics 52, № 8. doi: 10.1063/1.3623417.
- . . ‘Upper bounds on coarsening rates in demixing binary viscous liquids.’ SIAM Journal on Mathematical Analysis 43, № 1: 134. doi: 10.1137/090775142.
accepted / in Press (not yet published)
- .. ‘Optimal Regularity for the 2D Euler Equations in the Yudovich class.’ Journal de Mathématiques Pures et Appliquées .
submitted / under review
Events
2023 Workshop on Stability, Mixing and Fluid Dynamics (co-organized with V. Navarro-Fernández und A. Schlichting) in Münster.
2021 Workshop on New Trends in Geometric PDEs (co-organized with C. Böhm, G. Holzegel und B. Wilking) in Münster.
2019 5th Applied Mathematics Symposium Münster on Transport, Mixing and Fluids (co-organized with E. Wiedemann) in Münster.
2015 Hausdorff School on Nonlinear evolutions: Kinetic equations and defect dynamics (co-orgainzed with B. Niethammer and J. J. L. Velázquez) in Bonn.
► Behind the Science
Excellence, brilliance, genius – these qualities are often attributed to scientists who have produced groundbreaking results or who have been awarded prestigious prizes for their outstanding work. Other areas of science often benefit from their findings and the achievements are admired. But who are these outstanding researchers, and how did their important results come about? In addition to all the genius, was there even a little luck involved?
With the video series “Behind the Science” we take a look behind the scenes and learn more about people, how they came to their scientific findings and the ups and downs that research can bring. Listen with excitement to the interviews and be inspired and motivated!
https://www.youtube.com/playlist?list=PL5ahMhvSJv9nxYr7jAs5Bl1AE9YLkH1Xl
Idea and conception: Habiba Mohtadi and Christian Seis
Pruduced by the Cluster of Excellence Mathematics Münster