Dr. Nadja Ray
Head of junior research group (FAU-NGL)
Education
- 06/2016 – 07/2020: Habilitation in Applied Mathematics, Friedrich-Alexander Universität Erlangen-Nürnberg
- 12/2008 – 05/2013: Dissertation in Applied Mathematics, Friedrich-Alexander Universität Erlangen-Nürnberg
- 10/2002 – 03/2008: Diploma in mathematics with minor theoretical physics, Friedrich-Alexander Universität Erlangen-Nürnberg
- 09/1993 – 06/2002: Abitur, Emmy-Norther-Gymnasium (grammar school), Erlangen
Work experience
- 09/2022 – present: Professor for Geomatics and Geomathematics at MIDS, KU Eichstätt-Ingolstadt
 (https://www.ku.de/mids)
- 2022 – present: Principle investigator DFG SPP 2089
- 01/2022 – present: Principle investigator DAAD PPP Finland
- 05/2021 – present: Private lecturer
- 04/2020 – 08/2022: DFG temporary position for principal investigators
- 01/2020 – present: Head of junior research group status (Friedrich-Alexander Universität Erlangen-Nürnberg)
- 04/2018 – present: Principle investigator DFG RTG 2339
- 01/2016 – 12/2017: Principle investigator DAAD PPP Norway
- 10/2015 – present: Principle investigator DFG RU 2179
- 10/2012 – 03/2018: Research associate at Chair of Applied Mathematics I, Friedrich-Alexander Universität Erlangen-Nürnberg
- 10/2012 – 03/2017: DFG RTG 1773 coordinator at Chair of Computer Graphics, Friedrich-Alexander Universität Erlangen-Nürnberg
- 04/2008 – 11/2008: Research associate at Chair of Applied Mathematics I, Friedrich-Alexander Universität Erlangen-Nürnberg
International experience
- 05/2022: Hasselt/Belgium, host: Prof. Dr. Sorin Pop (1 week)
- 10/2021: Bratislava/Slovakia, host: Prof. Dr. Peter Frolkovic (1 week)
- 11/2019: Bratislava/Slovakia, host: Prof. Dr. Peter Frolkovic (1 week)
- 03/2018: Hasselt/Belgium, host: Prof. Dr. Sorin Pop (1 week)
- 11/2016: Bergen/Norway, host: Prof. Dr. Kundan Kumar (1 week)
- 08/2016: Bergen/Norway, host: Prof. Dr. Kundan Kumar (1 week)
- 03/2012: Bergen/Norway, host: Prof. Dr. Florin A. Radu (1 week)
- 09/2010 – 10/2010: Eindhoven/The Netherlands, host: Dr. Adrian Muntean (4 weeks)
- 02/2006 – 06/2006: Semester abroad, Florence, Italy (Erasmus)
Fellowships/Awards
- 10/2021: Habilitation prize (Friedrich-Alexander Universität Erlangen-Nürnberg), award for outstanding habilitation
- 10/2016 – 09/2017: Women’s prize of the faculty of natural sciences, Friedrich-Alexander Universität Erlangen-Nürnberg (1/2 TVL E13 PhD position for 12 month)
- 2014: Dr.-Körper-Preis 2014 (GAMM) for outstanding PhD thesis
- 12/2011 – 09/2012: PhD scholarship, “Förderung der Chancengleichheit für Frauen in Forschung und Lehre”, Friedrich-Alexander Universität Erlangen-Nürnberg
- 01/2009 – 09/2011: PhD scholarship, Studienstiftung des Deutschen Volkes
- 12/2008 – 11/2011: PhD scholarship, Deutsche Telekom Stiftung
- 02/2003 – 03/2008: Student scholarship, Studienstiftung des Deutschen Volkes
Research interests
- Multiscale modeling, upscaling, homogenization
- Porous media applications including evolving microstructures
- Soil microaggregates
- Electrohydrodynamics
Publications
For recent research work and pdf files, please check also the preprint series.
- , , , :
 Well-posedness of an evaporation model for a spherical droplet exposed to an air flow
 In: Interfaces and Free Boundaries 27 (2025), p. 91-121
 ISSN: 1463-9963
 DOI: 10.4171/IFB/524
 BibTeX: Download
- , , :
 Local existence of strong solutions to micro-macro models for reactive transport in evolving porous media
 In: European Journal of Applied Mathematics 35 (2024), p. 127-154
 ISSN: 0956-7925
 DOI: 10.1017/S095679252300013X
 BibTeX: Download
- , , :
 Modeling and simulation of single droplet drying in an acoustic levitator
 In: Drying Technology 41 (2023), p. 2088-2104
 ISSN: 0737-3937
 DOI: 10.1080/07373937.2023.2218162
 BibTeX: Download
- , , , , :
 Correction to: Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS (Computational Geosciences, (2023), 10.1007/s10596-022-10184-0)
 In: Computational Geosciences (2023)
 ISSN: 1420-0597
 DOI: 10.1007/s10596-023-10196-4
 BibTeX: Download
- , , , , :
 Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS
 In: Computational Geosciences (2023)
 ISSN: 1420-0597
 DOI: 10.1007/s10596-022-10184-0
 URL: https://link.springer.com/article/10.1007/s10596-022-10184-0
 BibTeX: Download
- , , , , :
 Estimating relative diffusion from 3D micro-CT images using CNNs
 In: Artificial Intelligence in Geosciences 4 (2023), p. 199-208
 ISSN: 2666-5441
 DOI: 10.1016/j.aiig.2023.11.001
 BibTeX: Download
- , , :
 Pore scale modeling of the mutual influence of roots and soil aggregation in the rhizosphere
 In: Frontiers in Soil Science 3 (2023), Article No.: 1155889
 ISSN: 2673-8619
 DOI: 10.3389/fsoil.2023.1155889
 BibTeX: Download
- , , , :
 Efficiency of micro-macro models for reactive two-mineral systems
 In: Multiscale Modeling & Simulation 20 (2022), p. 433-461
 ISSN: 1540-3459
 DOI: 10.1137/20M1380648
 BibTeX: Download
- , , , , , :
 Comparison study of phase-field and level-set method for three-phase systems including two minerals
 In: Computational Geosciences 26 (2022), p. 545 - 570
 ISSN: 1420-0597
 DOI: 10.1007/s10596-022-10142-w
 BibTeX: Download
- , :
 Existence and uniqueness of solutions to a flow and transport problem with degenerating coefficients
 In: European Journal of Applied Mathematics (2022)
 ISSN: 0956-7925
 DOI: 10.1017/S0956792522000018
 BibTeX: Download
- , , :
 Numerical investigations of degenerate equations for fluid flow and reactive transport in clogging porous media
 In: Journal of Mathematical Analysis and Applications 515 (2022), Article No.: 126384
 ISSN: 0022-247X
 DOI: 10.1016/j.jmaa.2022.126384
 BibTeX: Download
- , , , , :
 How water connectivity and substrate supply shape the turnover of organic matter – Insights from simulations at the scale of microaggregates
 In: Geoderma 405 (2022), Article No.: 115394
 ISSN: 0016-7061
 DOI: 10.1016/j.geoderma.2021.115394
 BibTeX: Download
- , , , , , :
 Explicit spatial modeling at the pore scale unravels the interplay of soil organic carbon storage and structure dynamics
 In: Global Change Biology (2022)
 ISSN: 1354-1013
 DOI: 10.1111/gcb.16230
 BibTeX: Download
- , , , :
 Voronoi implicit interface method for geometry evolution of two minerals with applications in reactive porous media
 ALGORITMY 2020 Conference on Scientific Computing (Vysoke Tatry, Podbanske, 10.09.2020 - 15.09.2020)
 In: Vydavateľstvo SPEKTRUM (ed.): Proceedings of the conference ALGORITMY 2020 2020
 URL: http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/view/1566
 BibTeX: Download
- , , , :
 Efficiency and Accuracy of Micro-Macro Models for Mineral Dissolution
 In: Water Resources Research 56 (2020), Article No.: e2020WR027585
 ISSN: 0043-1397
 DOI: 10.1029/2020WR027585
 BibTeX: Download
- , , , , :
 Microaggregation of goethite and illite evaluated by mechanistic modeling
 In: Applied Clay Science 198 (2020), Article No.: 105845
 ISSN: 0169-1317
 DOI: 10.1016/j.clay.2020.105845
 BibTeX: Download
- , , :
 Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation
 In: Computational Geosciences (2019)
 ISSN: 1420-0597
 DOI: 10.1007/s10596-019-09876-x
 BibTeX: Download
- , :
 Derivation of an effective dispersion model for electro-osmotic flow involving free boundaries in a thin strip
 In: Journal of Engineering Mathematics (2019)
 ISSN: 0022-0833
 DOI: 10.1007/s10665-019-10024-8
 BibTeX: Download
- , , , , , , :
 Application of a cellular automaton method to model the structure formation in soils under saturated conditions: A mechanistic approach
 In: Frontiers in Environmental Science 7 (2019)
 ISSN: 2296-665X
 DOI: 10.3389/fenvs.2019.00170
 URL: https://www.frontiersin.org/articles/10.3389/fenvs.2019.00170/abstract
 BibTeX: Download
- , , , , :
 Beyond Kozeny-Carman: Predicting the Permeability in Porous Media
 In: Transport in Porous Media (2019)
 ISSN: 0169-3913
 DOI: 10.1007/s11242-019-01321-y
 BibTeX: Download
- , , , :
 Old and New Approaches Predicting the Diffusion in Porous Media
 In: Transport in Porous Media 124 (2018), p. 803-824
 ISSN: 0169-3913
 DOI: 10.1007/s11242-018-1099-x
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2018/2018_RayRuppSchulzKn_OldAndNewApproachesPredictingTheDiffInPM
 BibTeX: Download
- , , , :
 Discrete-Continuum Multiphase Model for Structure Formation in Soils Including Electrostatic Effects
 In: Frontiers in Environmental Science 6 (2018), Article No.: 96
 ISSN: 2296-665X
 DOI: 10.3389/fenvs.2018.00096
 BibTeX: Download
- , , , , , , , , , , , :
 Microaggregates in Soils
 In: Journal of Plant Nutrition and Soil Science 181 (2018), p. 104-136
 ISSN: 1436-8730
 DOI: 10.1002/jpln.201600451
 URL: http://onlinelibrary.wiley.com/doi/10.1002/jpln.201600451/full
 BibTeX: Download
- , , :
 Discrete-continuum multiscale model for transport, biomass development and solid restructuring in porous media
 In: Advances in Water Resources 107 (2017), p. 393-404
 ISSN: 0309-1708
 DOI: 10.1016/j.advwatres.2017.04.001
 BibTeX: Download
- , , , , :
 Strong solvability up to clogging of an effective diffusion-precipitation model in an evolving porous medium
 In: European Journal of Applied Mathematics (2016), p. 1-29
 ISSN: 0956-7925
 DOI: 10.1017/S0956792516000164
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_SchulzRayFrankMahatoKn_StrongSolvUpToCloggingInAnEvolvingPM
 BibTeX: Download
- , , :
 Upscaling the flow and transport in an evolving porous medium with general interaction potentials
 In: SIAM Journal on Applied Mathematics 75 (2015), p. 2170-2192
 ISSN: 0036-1399
 DOI: 10.1137/140990292
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2015/2015_RayElbingerKn_UpscalingFlowTransInAnEvolvingPMWithGeneralInterPotentials
 BibTeX: Download
- :
 Colloidal transport in porous media - modeling and analysis (Dissertation, 2013)
 BibTeX: Download
- , , , , :
 Drug release from collagen matrices including an evolving microstructure
 In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 93 (2013), p. 811-822
 ISSN: 0044-2267
 DOI: 10.1002/zamm.201200196
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2013/2013_RayNoordenRaduFriessKn_DrugReleaseFromCollMatIncludAnEvolvingMicrostruct
 BibTeX: Download
- , , :
 Existence and uniqueness of a global weak solution of a Darcy-Nernst-Planck-Poisson system
 In: GAMM-Mitteilungen 35 (2012), p. 191-208
 ISSN: 0936-7195
 DOI: 10.1002/gamm.201210013
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_HerzRayKn_ExistAndUniqueOfGlobWeakSolutionDarcyNernPlanPoissSystem
 BibTeX: Download
- , , :
 Rigorous homogenization of a Stokes-Nernst-Planck-Poisson system
 In: Journal of Mathematical Analysis and Applications 390 (2012), p. 374-393
 ISSN: 0022-247X
 DOI: 10.1016/j.jmaa.2012.01.052
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_RayMunteanKn_RigHomoOfStokesNernstPlanckPoissSystem
 BibTeX: Download
- , , , :
 Multiscale Modeling of Colloid and Fluid Dynamics in Porous Media Including an Evolving Microstructure
 In: Transport in Porous Media 95 (2012), p. 669-696
 ISSN: 0169-3913
 DOI: 10.1007/s11242-012-0068-z
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_RayNoordenFrankKn_MultiscaleModelOfColloidAndFluidDynInPMinclAnEvolvMicrostr
 BibTeX: Download
- , , :
 Numerical investigation of homogenized Stokes-Nernst-Planck-Poisson systems
 In: Computing and Visualization in Science 14 (2011), p. 385-400
 ISSN: 1432-9360
 DOI: 10.1007/s00791-013-0189-0
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_FrankRayKn_NumericalInvestiOfHomogeStokNernPlanPoissSystmes
 BibTeX: Download
- , , :
 Drug release from collagen matrices and transport phenomena in porous media including an evolving microstructure
 11th Conference on Mathematical Methods in Science and Engineering (Alicante)
 In: Proceedings of the 11th International Conference on Mathematical Methods in Science and Engineering 2011
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_KnRayRadu_DrugReleaseFromCollagMatrTranspPhenomInPMIncludAnEvolvMicrostruct
 BibTeX: Download
- , , , :
 Variable Choices of Scaling in the Homogenization of a Nernst-Planck-Poisson Problem
 In: The Preprint-Series of the Institute of Applied Mathematics 344 (2011), p. 1-32
 ISSN: 1435-5833
 URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2011/2011_RayEckMunteanKn_VarChoiOfScalInTheHomogeniOfNernstPlanPoiProblem
 BibTeX: Download
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 Asymptotic of a phase field model for phase transitions including convection (Diploma thesis, 2008)
 BibTeX: Download
Projects
Funding source: DFG / Schwerpunktprogramm (SPP)
Project leader: ,
To couple three interwoven areas of rhizosphere research “Processes, Methods and Applications”, we utilize and improve mechanistic, mathematical models in forms of combined cellular automata and PDE/ODE systems on the microscale, offering the opportunity to bridge scales by homogenization techniques. The
systematic study of the interaction of transformation processes in the rhizosphere focussing on mucilage and root hairs, and its couplings to soil structure, geochemistry, microbiology, and…
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
Project leader:
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
Project leader:
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Project leader:
The grand goal of this group is the development, analytical, and numerical investigation of a mechanistic model describing processes of formation, stability, and turnover of soil micro-aggregates. In contrast to existing conceptual aggregation models and compartment models for carbon turnover and aggregation, we focus on specific, experimentally identified transformation processes of soil micro-aggregates. Since we are interested in giving an improved mechanistic, qualitative and even quantitative…
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH)
Project leader: ,
Funding source: DFG / Graduiertenkolleg (GRK)
Project leader:
Funding source: Deutsche Forschungsgemeinschaft (DFG)
Project leader: ,
Funding source: Deutscher Akademischer Austauschdienst (DAAD)
Project leader: ,
Homogenisierung reaktiven Transports in variablen Mikrostrukturen
Talks
- 30.05. – 02.06.2022: 14th International Conference on Porous Media & Annual Meeting, online participation
- 23. – 27.05.2022: European Geosciences Union General Assembly 2022, Vienna/Austria (hybrid)
- 21. – 24.06.2021: SIAM Conference on Mathematical and Computational Issues in the Geosciences, online
- 31.05. – 04.06.2021: 13th International Conference on Porous Media & Annual Meeting, online
- 15. – 19.03.2021: Oberwolfach Workshop on Homogenization theory: periodic and beyond, Oberwolfach/Germany
- 01. – 02.01.2021: InterPore German Chapter Meeting 2021, online
- 06. – 10.05.2019: 11th International Conference on Porous Media & Annual Meeting, Valencia/Spain
- 07. – 12.04.2019: European Geosciences Union General Assembly 2019, Vienna/Austria
- 10. – 14.03.2019: SIAM Conference on Mathematical and Computational Issues in the Geosciences, Houston/Texas/USA
- 26.08. – 01.09.2018: Oberwolfach Workshop on Reactive Flows in Deformable, Complex Media , Oberwolfach/Germany
- 03. – 07.06.2018: Computational Methods in Water Resources (CMWR 2018), Saint Malo/France
- 11. – 14.09.2017: SIAM Conference on Mathematical and Computational Issues in the Geosciences, Erlangen/Germany
- 13.08. – 18.08.2017: Goldschmidt Conference, Paris/France
- 22.08.2016: Seminar talk, University of Bergen, Bergen/Norway
- 19. – 24.06.2016: Computational Methods in Water Resources (CMWR 2016), Toronto/Canada
- 17. – 22.04.2016: European Geosciences Union General Assembly 2016, Vienna/Austria
- 29.06. – 02.07.2015: SIAM Conference on Mathematical and Computational Issues in the Geosciences, Stanford/USA
- 18. -21.05.2015: 7th International Conference on Porous Media & Annual Meeting, Padova/Italy
- 21. – 27.09.2014: Oberwolfach Workshop on Reactive Flows in Deformable, Complex Media , Oberwolfach/Germany
- 10. – 13.07.2014: Computational Methods in Water Resources (CMWR 2014), Stuttgart/Germany
- 22.05.2014: Seminar talk, University of Augsburg/Germany
- 21. – 25.05.2013: 5th International Conference on Porous Media & Annual Meeting, Prague/Czech Republic
- 17. – 23.03.2013: Oberwolfach Workshop on Interplay of Theory and Numerics for Deterministic and Stochastic Homogenization, Oberwolfach/Germany
- 24./25.04.2012: International SimTech Symposium Mathematical Modeling: Contact Mechanics, Phase Transitions, Multiscale Problems, Stuttgart/Germany
- 07. – 10.08.2012: SIAM Conference on the Life Sciences, San Diego/California/USA
- 26.03.2012: Seminar talk, University of Bergen, Bergen/Norway
- 13. – 15.06.2011: The Mathematics of Porous Media, Split/Croatia
- 25.03.2011: SIAM Conference on Mathematical and Computational Issues in the Geosciences, Long Beach/California/USA
- 08.11.2010: Colloid Workshop, Erlangen/Germany
- 10.10.2010: International Workshop on Modeling, Simulation, and Optimization, Erlangen/Germany
- 15.09.2010: CASA Seminar, University of Eindhoven, Eindhoven/The Netherlands
- 25. – 28.05.2010: 8th AIMS Conference on Dynamical Systems, Differential Equations, and Applications, Dresden/Germany
- 05. – 07.10.2009: International Conference on Non-linearities and Upscaling in Porous Media, Stuttgart/Germany
Posters
- 06. -10.05.2019: 11th International Conference on Porous Media & Annual Meeting, Valencia/Spain
- 14. – 17.02.2011: Analytical and numerical methods for multiscale systems, Heidelberg/Germany
- 15. – 18.06.2009: SIAM Conference on Mathematical and Computational Issues in the Geosciences, Leipzig/Germany
Participated Conferences und Courses
- 31.08. -04.09.2020: 12th International Conference on Porous Media & Annual Meeting, online
- 25. – 30.09.2011: Riemann International School of Mathematics Multiphase and Multiphysics Problems, Verbania/Italy
- 24./25.2.2009: Season School Reactive transport in porous media: Models, analysis, and simulation, Jena/Germany
- 19. – 24.4.2009: General European Geoscience Union (EGU), Wien/Austria
- 09. – 13.02.2009: 80th Annual Meeting of the International Association for Applied Mathematics and Mechanics (GAMM), Danzig/Poland
Starting in winter semester 2022/23:
B.Sc. Data Science at KU Eichstätt-Ingolstadt — Further Information: Flyer (DE), Flyer (EN), Poster (DE), Poster (EN)
[univis task=”lehrveranstaltungen-alle” univisid=”40757755″ ]
Certificate for Teaching in Higher Education of the Bavarian Universities
- 11/2019: Evaluationen und Umfragen mit StudOn
- 11/2019: Die Tafel professionell nutzen
- 09/2019: Vielfalt in der Lehre: Umgang mit Beeinträchtigungen
- 09/2019: Mathematik-Aufgaben digital gestalten (Einführungskurs in STACK)
- 06/2019: Schneller, höher, weiter – studentische Arbeitsgruppen und Projektteams wirksam
 (an)leiten
- 06/2019: Examining and Assessing in English
- 05/2019: Presenting in English
- 05/2019: Grundlagen der Hochschuldidaktik – Planung einer Lehrveranstaltung
Further Seminars
- 07/2015: Basics of business administration, RTG 1773
- 03/2015: Conflict management and conversational skills, RTG 1773
- 02/2012: Public relations in science, Graduate school FAU
- 07/2011: Negotiation skills, Deutsche Telekom Stiftung
- 02/2011: Presentation Skills, Deutsche Telekom Stiftung
- 12/2010: Time management and management in teaching, Graduate school FAU
- 03/2010: Project and time management, Deutsche Telekom Stiftung
- 09/2009: Team and leadership competence in science and beyond; Networking for researchers, Deutsche Telekom Stiftung
- 05/2009: Intercultural Communication Workshop, Deutsche Telekom Stiftung
Links
- B.Sc. Data Science at KU Eichstätt-Ingolstadt
- DFG priority program SPP 2089 — Rhizosphere Spatiotemporal Organisation
- DFG Reserach Unit 2179 “MadSoil” — Microaggregates: formation and turnover of the structural building blocks of soils
- DFG Research Training Group 2339 “IntComSin” — Interfaces, Complex Structures, and Singular Limits
- MIDS, KU Eichstätt-Ingolstadt
- Deutsche Telekom Stiftung
- Studienstiftung des deutschen Volkes
- Büro für Gender und Diversity der FAU
- Graduiertenzentrum der FAU
