Kathrin Padberg-Gehle

Prof. Dr.

Kathrin Padberg-Gehle

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Prof. Dr. Kathrin Padberg-Gehle

  1. 2024
  2. Published

    Lagrangian studies of coherent sets and heat transport in constant heat flux-driven turbulent Rayleigh-Bénard convection

    Vieweg, P. P., Klünker, A., Schumacher, J. & Padberg-Gehle, K., 01.01.2024, In: European Journal of Mechanics, B/Fluids. 103, p. 69-85 17 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  3. 2023
  4. Published

    Computational Study of Three-Dimensional Lagrangian Transport and Mixing in a Stirred Tank Reactor  

    Weiland, C., Steuwe, E., Fitschen, J., Hoffmann, M., Schlüter, M., Padberg-Gehle, K. & von Kameke, A., 15.05.2023, In: Chemical Engineering Journal Advances. 14, 13 p., 100448.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  5. Published

    A Python toolbox for the numerical solution of the Maxey-Riley equation

    Urizarna-Carasa, J., Ruprecht, D., von Kameke, A. & Padberg-Gehle, K., 01.03.2023, In: Proceedings in applied mathematics and mechanics. 22, 1, 6 p., e202200242.

    Research output: Journal contributionsConference article in journalResearchpeer-review

  6. Published

    Network-based analysis of Lagrangian transport and mixing

    Padberg-Gehle, K., 2023, Transport and Scale Interactions in Geophysical Flows. Franzke, C. L. E., Oliver, M., Rademacher, J. & Rypina, I. (eds.). Oberwolfach-Walke: Mathematisches Forschungsinstitut Oberwolfach, p. 46-48 3 p. (Oberwolfach Reports - OWR; vol. 2023, no. 31).

    Research output: Contributions to collected editions/worksPublished abstract in conference proceedingsResearch

  7. 2022
  8. Published

    Open-flow mixing and transfer operators

    Klünker, A., Padberg-Gehle, K. & Thiffeault, J-L., 13.06.2022, In: Philosophical transactions. Series A, Mathematical, physical, and engineering sciences. 380, 2225, 22 p., 20210028.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  9. Published

    Evolutionary clustering of Lagrangian trajectories in turbulent Rayleigh-Bénard convection flows

    Schneide, C., Vieweg, P. P., Schumacher, J. & Padberg-Gehle, K., 01.01.2022, In: Chaos. 32, 1, 013123 .

    Research output: Journal contributionsJournal articlesResearchpeer-review

  10. 2021
  11. Published

    Lagrangian heat transport in turbulent three-dimensional convection

    Vieweg, P. P., Schneide, C., Padberg-Gehle, K. & Schumacher, J., 01.04.2021, In: Physical Review Fluids. 6, 4, 8 p., L041501.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  12. Published

    Spectral Early-Warning Signals for Sudden Changes in Time-Dependent Flow Patterns

    Ndour, M., Padberg-Gehle, K. & Rasmussen, M., 02.2021, In: Fluids. 6, 2, 24 p., 49.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  13. Published

    A transfer operator based computational study of mixing processes in open flow systems

    Klünker, A. & Padberg-Gehle, K., 25.01.2021, In: Proceedings in applied mathematics and mechanics. 20, 1, 3 p., e202000133.

    Research output: Journal contributionsConference article in journalResearchpeer-review

  14. Published

    Lagrangian analysis of long-term dynamics of turbulent superstructures

    Schneide, C., Padberg-Gehle, K. & Schumacher, J., 01.01.2021, In: Proceedings in applied mathematics and mechanics. 20, 1, 4 p., e202000197.

    Research output: Journal contributionsConference article in journalResearchpeer-review

  15. Published

    Meeresströmungen, Google-Matrix und Netzwerke: Analyse von Transportprozessen

    Padberg-Gehle, K., 2021, Beiträge zum Mathematikunterricht 2021: Vom GDM-Monat 2021 der Gesellschaft für Didaktik der Mathematik (GDM) ; (1.-25. März 2021). Hein, K., Heil, C., Ruwisch, S. & Prediger, S. (eds.). Münster: WTM - Verlag für wissenschaftliche Texte und Medien, p. 13-20 8 p.

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearch

  16. 2020
  17. Published

    Set-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard Convection

    Klünker, A., Schneide, C., Froyland, G., Schumacher, J. & Padberg-Gehle, K., 01.01.2020, Advances in Dynamics, Optimization and Computation: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Junge, O., Schütze, O., Froyland, G., Ober-Blöbaum, S. & Padberg-Gehle, K. (eds.). Cham: Springer, p. 86-108 23 p. (Studies in Systems, Decision and Control; vol. 304).

    Research output: Contributions to collected editions/worksChapterpeer-review

  18. Published

    Advances in Dynamics, Optimization and Computation: A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday

    Junge, O. (ed.), Schütze, O. (ed.), Froyland, G. (ed.), Ober-Blöbaum, S. (ed.) & Padberg-Gehle, K. (ed.), 2020, Cham: Springer. 392 p. (Studies in Systems, Decision and Control; vol. 304)

    Research output: Books and anthologiesCollected editions and anthologiesResearch

  19. Published

    Extraction of finite-time coherent sets in 3D Rayleigh-Benard Convection using the dynamic Laplacian

    Froyland, G., Klünker, A., Padberg-Gehle, K., Schneide, C. & Schumacher, J., 2020, In: Bulletin of the American Physical Society. 65, 13, 1 p., K08.00003.

    Research output: Journal contributionsConference abstract in journalResearch

  20. Published

    Lagrangian Coherent Sets as transport barriers in convection

    Schumacher, J., Vieweg, P. P., Schneide, C. & Padberg-Gehle, K., 2020, In: Bulletin of the American Physical Society. 65, 13, 1 p., F16.00009.

    Research output: Journal contributionsConference abstract in journalResearch

  21. Published

    Machine Learning Applications in Convective Turbulence

    Kräuter, R., Krasnov, D., Pandey, A., Schneide, C., Padberg-Gehle, K., Giannakis, D., Sreenivasan, K. R. & Schumacher, J., 2020, NIC Symposium 2020: 27 − 28 February 2020, Jülich, Germany, Proceedings. Müller, M., Binder, K. & Trauntmann, A. (eds.). Jülich: Forschungszentrum Jülich , p. 357-366 10 p. (Publication Series of the John von Neumann Institute for Computing (NIC); vol. 50).

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearch

  22. 2019
  23. Published

    Lagrangian coherent sets in turbulent Rayleigh-Bénard convection

    Schneide, C., Stahn, M., Pandey, A., Junge, O., Koltai, P., Padberg-Gehle, K. & Schumacher, J., 11.11.2019, In: Physical Review E. 100, 5, 16 p., 053103.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  24. Published

    Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

    Klünker, A., Schneide, C., Pandey, A., Padberg-Gehle, K. & Schumacher, J., 01.11.2019, In: Proceedings in applied mathematics and mechanics. 19, 1, 2 p., 201900201.

    Research output: Journal contributionsConference abstract in journalResearchpeer-review

  25. Published

    Network measures of mixing

    Banisch, R., Koltai, P. & Padberg-Gehle, K., 06.2019, In: Chaos. 29, 6, 063125.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  26. Published

    Noise-induced Statistical Periodicity in Random Lasota-Mackey Maps

    Sato, Y. & Padberg-Gehle, K., 2019, Ithaca: Cornell University, 6 p. (arXiv.org).

    Research output: Working paperWorking papers

  27. Published

    S. Balasuriya: “Barriers and Transport in Unsteady Flows: A Melnikov Approach”

    Padberg-Gehle, K., 2019, In: Jahresbericht der Deutschen Mathematiker-Vereinigung. 121, 2, p. 143-146 4 p.

    Research output: Journal contributionsCritical reviewsResearch

  28. 2018
  29. Published

    Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters

    Schneide, C., Pandey, A., Padberg-Gehle, K. & Schumacher, J., 15.11.2018, In: Physical Review Fluids. 3, 11, 113502.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  30. Published

    Eulerian and Lagrangian perspectives on turbulent superstructures in Rayleigh-Bénard convection

    Pandey, A., Schneide, C., Padberg-Gehle, K., Scheel, J. D. & Schumacher, J., 2018, NIC Symposium 2018: 22-23 February 2018, Jülich, Germany : proceedings. Binder, K., Müller, M. & Trautmann, A. (eds.). Jülich: Forschungszentrum Jülich , p. 421-428 8 p. (NIC Series; vol. 49).

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearch

  31. Published

    Probing turbulent superstructures in Rayleigh-Bénard convection by Lagrangian trajectory clusters

    Schumacher, J., Schneide, C., Pandey, A. & Padberg-Gehle, K., 2018, 71st Annual Meeting of the APS Division of Fluid Dynamics . New York: American Physical Society, 1 p. BAPS.2018.DFD.G33.7. (Bulletin of the American Physical Society; vol. 63, no. 13).

    Research output: Contributions to collected editions/worksPublished abstract in conference proceedingsResearch

  32. 2017
  33. Published

    Modeling and Simulation of Electrochemical Cells under Applied Voltage

    Rossi, M., Wallmersperger, T., Neukamm, S. & Padberg-Gehle, K., 20.12.2017, In: Electrochimica Acta. 258, p. 241 - 254 14 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  34. Published

    Trajectory-based computational study of coherent behavior in flows

    Padberg-Gehle, K. & Schneide, C., 12.2017, In: Proceedings in applied mathematics and mechanics. 17, 1, p. 11-14 4 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  35. Published

    Set-oriented numerical computation of rotation sets

    Polotzek, K., Padberg-Gehle, K. & Oertel-Jäger, T., 01.11.2017, In: Journal of Computational Dynamics. 4, 1, p. 119-141 23 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  36. Published

    Network-based study of Lagrangian transport and mixing

    Padberg-Gehle, K. & Schneide, C., 20.10.2017, In: Nonlinear Processes in Geophysics. 24, 4, p. 661 - 671 11 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  37. Published

    Robustness of coherent sets computations

    Klünker, A. & Padberg-Gehle, K., 2017, Proceedings of the 9th European Nonlinear Dynamics Conference: ENOC 2017, 25-30 June 2017, Budapest, Hungary. Stépán, G. & Csernák, G. (eds.). Budapest: Congressline Ltd., 2 p. 493

    Research output: Contributions to collected editions/worksPublished abstract in conference proceedingsResearchpeer-review

  38. Transfer operator-based extraction of coherent features on surfaces

    Padberg-Gehle, K., Reuther, S., Praetorius, S. & Voigt, A., 2017, Topological Methods in Data Analysis and Visualization IV : Theory, Algorithms, and Applications. Carr, H., Garth, C. & Weinkauf, T. (eds.). Cham : Springer International Publishing AG, p. 283-297 15 p. (Topological methods in data analysis and visualization; vol. 4)( Mathematics and visualization).

    Research output: Contributions to collected editions/worksContributions to collected editions/anthologiesResearchpeer-review

  39. 2015
  40. Multiobjective optimal control of fluid mixing

    Ober-Blöbaum, S. & Padberg-Gehle, K., 21.10.2015, In: Proceedings in applied mathematics and mechanics. 15, 1, p. 639-640 2 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  41. Role of critical points of the skin friction field in formation of plumes in thermal convection

    Bandaru, V., Kolchinskaya, A., Padberg-Gehle, K. & Schumacher, J., 06.10.2015, In: Physical Review E. 92, 4, 1 p., 043006.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  42. A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data

    Froyland, G. & Padberg-Gehle, K., 01.08.2015, In: Chaos. 25, 8, 15 p., 087406.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  43. 2014
  44. Set-oriented numerical analysis of time-dependent transport

    Padberg-Gehle, K. & Froyland, G., 10.12.2014, In: Oberwolfach Reports. 11, 1, p. 258-259 2 p.

    Research output: Journal contributionsConference abstract in journalResearch

  45. Accurate control of hyperbolic trajectories in any dimension

    Balasuriya, S. & Padberg-Gehle, K., 03.09.2014, In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 90, 3, 032903.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  46. Nonautonomous control of stable and unstable manifolds in two-dimensional flows

    Balasuriya, S. & Padberg-Gehle, K., 15.05.2014, In: Physica D: Nonlinear Phenomena. 276, p. 48-60 13 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  47. Almost-invariant and finite-time coherent sets: Directionality, duration, and diffusion

    Froyland, G. & Padberg-Gehle, K., 01.01.2014, Ergodic Theory, Open Dynamics, and Coherent Structures. Bahsoun, W., Bose, C. & Froyland, G. (eds.). New York: Springer, p. 171-216 46 p. (Springer Proceedings in Mathematics & Statistics; vol. 70).

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

  48. 2013
  49. Controlling the unsteady analogue of saddle stagnation points

    Balasuriya, S. & Padberg-Gehle, K., 23.04.2013, In: SIAM Journal on Applied Mathematics. 73, 2, p. 1038-1057 20 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  50. 2012
  51. Comment éviter la formation d'embouteillages de moteurs moléculaires lors du trafic intracellulaire?

    Leduc, C., Padberg-Gehle, K., Varga, V., Helbing, D., Diez, S. & Howard, J., 21.12.2012, In: Medecine/Sciences. 28, 12, p. 1064-1066 3 p.

    Research output: Journal contributionsComments / Debate / ReportsResearch

  52. Finite-time entropy: A probabilistic approach for measuring nonlinear stretching

    Froyland, G. & Padberg-Gehle, K., 01.10.2012, In: Physica D: Nonlinear Phenomena. 241, 19, p. 1612-1628 17 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  53. Molecular crowding creates traffic jams of kinesin motors on microtubules

    Leduc, C., Padberg-Gehle, K., Varga, V., Helbing, D., Diez, S. & Howard, J., 17.04.2012, In: Proceedings of the National Academy of Sciences (USA). 109, 16, p. 6100-6105 6 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  54. 2011
  55. Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem

    Dellnitz, M., Padberg, K., Preis, R. & Thiere, B., 2011, Nonlinear Science and Complexity. Machado, T. J. A., Luo, C. J. A., Barbosa, S. R., Silva, F. M. & Figueiredo, B. L. (eds.). Dordrecht: Springer Netherlands, p. 99-105 7 p.

    Research output: Contributions to collected editions/worksChapterpeer-review

  56. 2010
  57. Dynamics of Supply Chains Under Mixed Production Strategies

    Donner, R., Padberg, K., Höfener, J. & Helbing, D., 2010, Progress in Industrial Mathematics at ECMI 2008. Fitt, D. A., Norbury, J., Ockendon, H. & Wilson, E. (eds.). Berlin, Heidelberg: Springer, p. 527-533 7 p. (Mathematics in Industry; vol. 15).

    Research output: Contributions to collected editions/worksContributions to collected editions/anthologiesResearchpeer-review

  58. 2009
  59. Seasonal variability of the subpolar gyres in the Southern Ocean: A numerical investigation based on transfer operators

    Dellnitz, M., Froyland, G., Horenkamp, C., Padberg-Gehle, K. & Sen Gupta, A., 08.12.2009, In: Nonlinear Processes in Geophysics. 16, 6, p. 655-663 10 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  60. Biologistics and the struggle for efficiency: Concepts and perspectives

    Helbing, D., Deutsch, A., Diez, S., Peters, K., Kalaidzidis, Y., Padberg-Gehle, K., Lämmer, S., Johansson, A., Breier, G., Schulze, F. & Zerial, M., 12.2009, In: Advances in Complex Systems. 12, 6, p. 533-548 16 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  61. Local expansion concepts for detecting transport barriers in dynamical systems

    Padberg, K., Thiere, B., Preis, R. & Dellnitz, M., 12.2009, In: Communications in Nonlinear Science and Numerical Simulation. 14, 12, p. 4176-4190 15 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  62. Almost-invariant sets and invariant manifolds: Connecting probabilistic and geometric descriptions of coherent structures in flows

    Froyland, G. & Padberg, K., 01.08.2009, In: Physica D: Nonlinear Phenomena. 238, 16, p. 1507-1523 17 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  63. On the approximation of transport phenomena: A dynamical systems approach

    Dellnitz, M., Froyland, G., Horenkamp, C. & Padberg, K., 01.06.2009, In: GAMM Mitteilungen. 32, 1, p. 47-60 14 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  64. 2008
  65. A transfer operator based numerical investigation of coherent structures in three-dimensional Southern ocean circulation

    Froyland, G., Schwalb, M., Padberg, K. & Dellnitz, M., 09.2008, Proceedings of the 2008 International Symposium on Nonlinear Theory and its Applications (NOLTA'08): Budapest, Hungary, September 7–10, 2008. Kolumban, G. & Endo, T. (eds.). Research Society of Nonlinear Theory and Its Application , p. 313-316 4 p.

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

  66. 2007
  67. Lagrangian structures and transport in turbulent magnetized plasmas

    Padberg, K., Hauff, T., Jenko, F. & Junge, O., 06.11.2007, In: New Journal of Physics. 9, November, 16 p., 400.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  68. Detection of coherent oceanic structures via transfer operators

    Froyland, G., Padberg, K., England, M. H. & Treguier, A. M., 01.06.2007, In: Physical Review Letters. 98, 22, 224503.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  69. Set oriented approximation of invariant manifolds: Review of concepts for astrodynamical problems

    Dellnitz, M., Padberg, K., Post, M. & Thiere, B., 07.02.2007, New Trends in Astrodynamics and Applications III: Princeton, New Jersey, 16-18 August 2006. Belbruno, E. (ed.). Princeton, New Jersey: American Institute of Physics Inc., p. 90-99 10 p. (AIP conference proceedings; vol. 886, no. 1).

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

  70. 2006
  71. Efficient control of formation flying spacecraft

    Dellnitz, M., Junge, O., Krishnamurthy, A., Ober-Bloebaum, S., Padberg, K. & Preis, R., 01.01.2006, New Trends in Parallel & Distributed Computing: within the scope of the DFG Collaborative Research Centre 376 Massively Parallel Computing: Algorithms, Design Methods, Applications. Meyer auf der Heide, F. & Monien, B. (eds.). Paderborn: Heinz Nixdorf Institut, p. 235-247 13 p. (HNI-Verlagsschriftenreihe; vol. 181).

    Research output: Contributions to collected editions/worksContributions to collected editions/anthologiesResearchpeer-review

  72. 2005
  73. Transport of Mars-crossing asteroids from the quasi-Hilda region

    Dellnitz, M., Junge, O., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., Ross, S. D. & Thiere, B., 17.06.2005, In: Physical Review Letters. 94, 23, 231102.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  74. Transport in dynamical astronomy and multibody problems

    Dellnitz, M., Junge, O., Koon, W. S., Lekien, F., Lo, M. W., Marsden, J. E., Padberg, K., Preis, R., Ross, S. D. & Thiere, B., 03.2005, In: International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 15, 3, p. 699-727 29 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  75. Set oriented computation of transport rates in 3-degree of freedom systems: The Rydberg atom in crossed fields

    Dellnitz, M., Grubits, K. A., Marsden, J. E., Padberg, K. & Thiere, B., 2005, In: Regular and Chaotic Dynamics. 10, 2, p. 173-192 20 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  76. 2004
  77. mαth-kit: Ein multimedialer Baukasten für die Mathematikausbildung im Grundstudium

    Unger, L., Bauch, M. J., Baudry, A., Bungenstock, M., Mertsching, B., Oevel, G., Thiere, B. & Padberg, K., 2004, In: Softwaretechnik-Trends . 24, 1, p. 62-71 10 p.

    Research output: Journal contributionsJournal articlesResearchpeer-review

  78. 2002
  79. math-kit: Ein webbasierter multimedialer Baukasten für die Lehre.

    Padberg, K., Oevel, G. & Thiere, B., 08.2002, In: mathPAD. 11, 1, p. 25-26 2 p.

    Research output: Journal contributionsJournal articlesTransferpeer-review

  80. Web-Based Drills in Maths Using a Computer Algebra System

    Padberg, K. & Schiller, S., 2002, Proceedings of ED-MEDIA 2002, World Conference on Educational Multimedia, Hypermedia and Telecommunications: June 24 - 29, 2002, Denver, Colorado, USA. Barker, P. & Rebelsky, S. (eds.). Norfolk: Association for the Advancement of Computing in Education, p. 1551-1552 2 p.

    Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review