PROF. DR. CHRISTIAN SEIS
Institut für Analysis und Numerik
Orléans-Ring 10
48149 Münster
Raum 120.027
Tel.: +49 251 83 35142
Curriculum vitae
seit 2017 Professor an der WWU
2014–2017 Akademischer Rat, Universität Bonn
2011–2014 Postdoktorand, University of Toronto, Canada
2011 Promotion in Mathematics (Dr. rer. nat.), Universität Leipzig
2010–2011 Wissenschaftlicher Mitarbeiter, Max Planck Institut für Mathematik in den Naturwissenschaften (MPI-MIS), Leipzig
2008–2010 Wissenschaftlicher Mitarbeiter, Universität Bonn
2008 Diplom in Mathematik, Universität Bonn
Auszeichnungen2013 Nonlinearity 2013 Highlights Collection: Maximal mixing by incompressible flows
2010–2012 Oberwolfach Leibniz Graduate Student
2008 Diplom “mit Auszeichung”, Universität Bonn
Publikationen
published
- . . ‘Propagation of regularity for transport equations. A Littlewood-Paley approach.’ Indiana University Mathematics Journal 73, Nr. 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, Nr. 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, Nr. 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, Nr. 214. doi: 10.1007/s00526-023-02542-2.
- . . ‘The Scharfetter-Gummel scheme for aggregation-diffusion equations.’ IMA Journal of Numerical Analysis 42, Nr. 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, Nr. 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, Nr. 2226. doi: 10.1098/rsta.2021.0046.
- . . ‘A note on the vanishing viscosity limit in the Yudovich class.’ Canadian Mathematical Bulletin 64, Nr. 1: 112–122. doi: 10.4153/S0008439520000296.
- . . ‘Vortex dynamics for 2D Euler flows with unbounded vorticity.’ Revista Matematica Iberoamericana 37, Nr. 5: 1969–1990. doi: 10.4171/rmi/1255.
- . . ‘On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity.’ Nonlinearity 34, Nr. 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, Nr. 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, Nr. 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, Nr. A: 1279–1296. doi: 10.1017/S0308210518000173.
- . . ‘The thin film equation close to self-similarity.’ Analysis and PDE 11, Nr. 5: 1303–1342. doi: 10.2140/apde.2018.11.1303.
- . ‘Analysis of the implicit upwind finite volume scheme with rough coefficients.’ Numerische Mathematik 139, Nr. 1: 155–186. doi: 10.1007/s00211-017-0935-1.
- . ‘On the Vortex Filament Conjecture for Euler Flows.’ Archive for Rational Mechanics and Analysis 224, Nr. 1: 135–172. doi: 10.1007/s00205-016-1070-3.
- . ‘Convergence rates for upwind schemes with rough coefficients.’ SIAM Journal on Numerical Analysis 55, Nr. 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, Nr. 5: 3973–3998. doi: 10.1137/17M1130988.
- . . ‘Optimal stability estimates for continuity equations.’ Oberwolfach Reports 14, Nr. 1. doi: 10.4171/OWR/2017/7.
- . ‘A quantitative theory for the continuity equation.’ Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 34, Nr. 7: 1837–1850. doi: 10.1016/j.anihpc.2017.01.001.
- . ‘Global solutions to the volume-preserving mean-curvature flow.’ Calculus of Variations and Partial Differential Equations 55, Nr. 1: 1–23. doi: 10.1007/s00526-015-0943-x.
- . ‘An elementary approach to linear programming duality with application to capacity constrained transport.’ Journal of Convex Analysis 22, Nr. 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, Nr. 2: 191–218. doi: 10.1080/03605302.2014.963605.
- . ‘Dual potentials for capacity constrained optimal transport.’ Calculus of Variations and Partial Differential Equations 54, Nr. 1: 573–584. doi: 10.1007/s00526-014-0795-9.
- . ‘Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator.’ Journal of Differential Equations 256, Nr. 3: 1191–1223. doi: 10.1016/j.jde.2013.10.013.
- . ‘Crossover of the coarsening rates in demixing of binary viscous liquids.’ Communications in Mathematical Sciences 11, Nr. 2: 441–464.
- . ‘Maximal mixing by incompressible fluid flows.’ Nonlinearity 26, Nr. 12: 3279–3289. doi: 10.1088/0951-7715/26/12/3279.
- . ‘Laminar Boundary Layers in Convective Heat Transport.’ Communications in Mathematical Physics 324, Nr. 3: 995–1031. doi: 10.1007/s00220-013-1826-7.
- . . ‘On the coarsening rates for attachment-limited kinetics.’ SIAM Journal on Mathematical Analysis 45, Nr. 1: 324–344. doi: 10.1137/120865197.
- . ‘Rayleigh-Bénard convection: Improved bounds on the Nusselt number.’ Journal of Mathematical Physics 52, Nr. 8. doi: 10.1063/1.3623417.
- . . ‘On the coarsening rates in demixing binary viscous liquids.’ Oberwolfach Reports 8, Nr. 4. doi: 10.4171/OWR/2011/55.
- . . Scaling laws in two models for thermodynamically driven fluid flows Dissertationsschrift, Universität Leipzig. Leipzig.
- . . ‘Upper bounds on coarsening rates in demixing binary viscous liquids.’ SIAM Journal on Mathematical Analysis 43, Nr. 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 Stability, Mixing and Fluid Dynamics (mit V. Navarro-Fernández und A. Schlichting) in Münster.
2021 Workshop New Trends in Geometric PDEs (mit C. Böhm, G. Holzegel und B. Wilking) in Münster.
2019 5. Symposium der Angewandten Mathematik Münster Transport, Mixing and Fluids (mit E. Wiedemann) in Münster.
2015 Hausdorff-Schule Nonlinear evolutions: Kinetic equations and defect dynamics (mit B. Niethammer und J. J. L. Velázquez) in Bonn.
► Behind the Science
Exzellenz, Brillanz, Genie – dies wird Wissenschaftlern gerne nachgesagt, die bahnbrechende Resultate geliefert haben oder die für ihre herausragende Forschungsarbeit mit renommierten Preisen ausgezeichnet wurden. Von ihren Erkenntnissen profitieren oft auch andere Wissenschaftsbereiche, und ihre Leistungen werden bewundert. Doch wer sind diese herausragenden Forscherinnen und Forscher, wie kam es zu ihren bedeutsamen Resultaten – und war neben aller Genialität auch ein Quäntchen Glück im Spiel?
Mit der englischsprachigen Videoreihe „Behind the Science“ werfen wir einen Blick hinter die Kulissen und erfahren mehr über die Menschen, wie sie zu ihren wissenschaftlichen Erkenntnissen gekommen sind und welche Höhen und Tiefen die Forschung mit sich bringt. Lauschen Sie den Interviews und lassen Sie sich inspirieren und motivieren!
https://www.youtube.com/playlist?list=PL5ahMhvSJv9nxYr7jAs5Bl1AE9YLkH1Xl
Idee und Konzeption: Habiba Mohtadi und Christian Seis
Produziert durch den Exzellenz Cluster Mathematik Münster