Pflug, Lukas

Dr. Lukas Pflug

Project Leader D03

Department of Mathematics, Chair of Applied Mathematics (Continuous Optimization)
Friedrich-Alexander-Universität Erlangen-Nürnberg

Cauerstraße 11
91058 Erlangen

Phone number: +49 9131 85-67140
Email: lukas.pflug@fau.de
Website: http://en.www.math.fau.de/continuous-optimization/

Recent publications

A full list can be found here.

2025

Bleyer G., Nees N., Prohaska F., Pflug L., Stingl M., Vogel N.:
Predictive Design to Determine Optimal Absorber Placement in Colloidal Photonic Crystals
In: Advanced Optical Materials (2025), Article No.: 2403279
ISSN: 2195-1071
DOI: 10.1002/adom.202403279
Bleyer G., Uihlein A., Sultan U., Ickler M., Yamashita R., Pflug L., Watanabe S., Vogel N.:
Predictive design of plasmonic color
In: Journal of Colloid and Interface Science (2025), p. 137408
ISSN: 0021-9797
DOI: 10.1016/j.jcis.2025.137408
Keimer A., Pflug L.:
On the singular limit problem for nonlocal conservation laws: A general approximation result for kernels with fixed support
In: Journal of Mathematical Analysis and Applications 547 (2025), Article No.: 129307
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2025.129307
Seifert J., Traore N., Diesch J., Kichigin A., Nees N., Peukert W., Spiecker E., Apeleo Zubiri B., Pflug L., Klupp Taylor R.:
Silver incorporation into gold patchy nanoparticles: Influence on the tunability and long-term stability of plasmonic properties
In: Journal of Physical Chemistry C (2025)
ISSN: 1932-7447
DOI: 10.1021/acs.jpcc.5c02380
Singh S., Pflug L., Wein F., Stingl M.:
A nonlocal approach to graded surface modeling in topology optimization
In: Structural and Multidisciplinary Optimization 68 (2025), Article No.: 83
ISSN: 1615-147X
DOI: 10.1007/s00158-025-04024-9

2024

Bittner C., Bleyer G., Nees N., Carneiro M., Pflug L., Stingl M., Vogel N.:
Optimizing Color Saturation in Colloidal Photonic Crystals by Control of Absorber Amount and Distribution
In: Advanced Materials Interfaces (2024), Article No.: 2300986
ISSN: 2196-7350
DOI: 10.1002/admi.202300986
Friedrich J., Gottlich S., Keimer A., Pflug L.:
CONSERVATION LAWS WITH NONLOCAL VELOCITY: THE SINGULAR LIMIT PROBLEM
In: SIAM Journal on Applied Mathematics 84 (2024), p. 497-522
ISSN: 0036-1399
DOI: 10.1137/22m1530471
Friedrich J., Göttlich S., Keimer A., Pflug L.:
Conservation Laws with Nonlocality in Density and Velocity and Their Applicability in Traffic Flow Modelling
HYP 2022 - XVIII International Conference on Hyperbolic Problems (Málaga, 20. June 2022 - 24. June 2022)
In: Carlos Parés, Manuel J. Castro, Tomás Morales de Luna, María Luz Muñoz-Ruiz (ed.): Hyperbolic Problems: Theory, Numerics, Applications. Volume II, Cham: 2024
DOI: 10.1007/978-3-031-55264-9_30
Grieshammer M., Pflug L., Stingl M., Uihlein A.:
The continuous stochastic gradient method: part II–application and numerics
In: Computational Optimization and Applications 87 (2024), p. 977-1008
ISSN: 0926-6003
DOI: 10.1007/s10589-023-00540-w
Kuchlbauer M., Dienstbier J., Muneer A., Hedges H., Stingl M., Liers F., Pflug L.:
Quality Control in Particle Precipitation via Robust Optimization
In: Computers & Chemical Engineering (2024)
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2024.108619
Mousavi A., Uihlein A., Pflug L., Wadbro E.:
Topology optimization of broadband acoustic transition section: a comparison between deterministic and stochastic approaches
In: Structural and Multidisciplinary Optimization 67 (2024), Article No.: 67
ISSN: 1615-147X
DOI: 10.1007/s00158-024-03784-0
Seifert J., Nees N., Khan H., Traore N., Drobek D., Peukert W., Apeleo Zubiri B., Spiecker E., Stingl M., Pflug L., Klupp Taylor R.:
Continuous Flow Synthesis and Simulation-Supported Investigation of Tunable Plasmonic Gold Patchy Nanoparticles
In: Nanoscale (2024)
ISSN: 2040-3364
DOI: 10.1039/D4NR02516D
URL: https://pubs.rsc.org/en/content/articlelanding/2024/nr/d4nr02516d
Traore N., Schikarski T., Cardenas Lopez PI., Körner A., Cardenas Lopez PI., Hartmann L., Fritsch B., Walter J., Hutzler A., Pflug L., Peukert W.:
Mechanistic insights into silver-gold nanoalloy formation by two-dimensional population balance modeling
In: Chemical Engineering Journal 483 (2024), Article No.: 149429
ISSN: 1385-8947
DOI: 10.1016/j.cej.2024.149429

2023

Bänsch E., Pflug L., Schikarski T.:
Highly accurate and numerical tractable coupling of nanoparticle nucleation, growth and fluid flow
In: Chemical Engineering Research & Design 190 (2023), p. 814-828
ISSN: 0263-8762
DOI: 10.1016/j.cherd.2022.12.029
Coclite GM., Coron JM., De Nitti N., Keimer A., Pflug L.:
A general result on the approximation of local conservation laws by nonlocal conservation laws: The singular limit problem for exponential kernels
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 40 (2023), p. 1205-1223
ISSN: 0294-1449
DOI: 10.4171/AIHPC/58
Coclite GM., De Nitti N., Keimer A., Pflug L., Zuazua Iriondo E.:
Long-time convergence of a nonlocal Burgers' equation towards the local N-wave
In: Nonlinearity (2023)
ISSN: 0951-7715
DOI: 10.1088/1361-6544/acf01d
URL: https://iopscience.iop.org/article/10.1088/1361-6544/acf01d
Frank U., Drobek D., Sánchez-Iglesias A., Wawra S., Nees N., Walter J., Pflug L., Apeleo Zubiri B., Spiecker E., Liz-Marzan LM., Peukert W.:
Determination of 2D Particle Size Distributions in Plasmonic Nanoparticle Colloids via Analytical Ultracentrifugation: Application to Gold Bipyramids.
In: ACS nano (2023)
ISSN: 1936-0851
DOI: 10.1021/acsnano.2c12257
Grieshammer M., Pflug L., Stingl M., Uihlein A.:
Correction to: The continuous stochastic gradient method: part II–application and numerics (Computational Optimization and Applications, (2023), 10.1007/s10589-023-00540-w)
In: Computational Optimization and Applications (2023)
ISSN: 0926-6003
DOI: 10.1007/s10589-023-00544-6
Grieshammer M., Pflug L., Stingl M., Uihlein A.:
The continuous stochastic gradient method: part I–convergence theory
In: Computational Optimization and Applications (2023)
ISSN: 0926-6003
DOI: 10.1007/s10589-023-00542-8
Keimer A., Pflug L.:
Discontinuous nonlocal conservation laws and related discontinuous ODEs – Existence, Uniqueness, Stability and Regularity
In: Comptes Rendus Mathematique 361 (2023), p. 1723-1760
ISSN: 1631-073X
DOI: 10.5802/crmath.490
Keimer A., Pflug L.:
Nonlocal balance laws – an overview over recent results
DOI: 10.1016/bs.hna.2022.11.001
Keimer A., Pflug L.:
On the singular limit problem for a discontinuous nonlocal conservation law
In: Nonlinear Analysis - Theory Methods & Applications 237 (2023), Article No.: 113381
ISSN: 0362-546X
DOI: 10.1016/j.na.2023.113381
Nees N., Pflug L., Mann B., Stingl M.:
Multi-material design optimization of optical properties of particulate products by discrete dipole approximation and sequential global programming
In: Structural and Multidisciplinary Optimization 66 (2023), Article No.: 5
ISSN: 1615-147X
DOI: 10.1007/s00158-022-03376-w
Plass F., Englisch S., Apeleo Zubiri B., Pflug L., Spiecker E., Stingl M.:
Using OpenBIS as Virtual Research Environment: An ELN-LIMS Open-Source Database Tool as a Framework within the CRC 1411 Design of Particulate Products
In: Data Science Journal 22 (2023), Article No.: 44
ISSN: 1683-1470
DOI: 10.5334/dsj-2023-044
Singh S., Pflug L., Mergheim J., Stingl M.:
On optimization of heterogeneous materials for enhanced resistance to bulk fracture
In: Forces in Mechanics 12 (2023), Article No.: 100200
ISSN: 2666-3597
DOI: 10.1016/j.finmec.2023.100200
Traore N., Spruck C., Uihlein A., Pflug L., Peukert W.:
Targeted color design of silver-gold alloy nanoparticles
In: Nanoscale Advances (2023)
ISSN: 2516-0230
DOI: 10.1039/d3na00856h
Uihlein A., Pflug L., Stingl M.:
Optimizing Color of Particulate Products
In: Proceedings in Applied Mathematics and Mechanics 22 (2023), Article No.: e202200047
ISSN: 1617-7061
DOI: 10.1002/pamm.202200047
Wang Z., Traore N., Schikarski T., Stiegler L., Drobek D., Apeleo Zubiri B., Spiecker E., Walter J., Peukert W., Pflug L., Segets D.:
Population balance modeling of InP quantum dots: Experimentally enabled global optimization to identify unknown material parameters
In: Chemical Engineering Science 281 (2023), Article No.: 119062
ISSN: 0009-2509
DOI: 10.1016/j.ces.2023.119062

2022

Bayen A., Friedrich J., Keimer A., Pflug L., Veeravalli T.:
Modeling Multilane Traffic with Moving Obstacles by Nonlocal Balance Laws*
In: SIAM Journal on Applied Dynamical Systems 21 (2022), p. 1495-1538
ISSN: 1536-0040
DOI: 10.1137/20M1366654
Cardenas Lopez PI., Uttinger M., Traore N., Khan H., Drobek D., Apeleo Zubiri B., Spiecker E., Pflug L., Peukert W., Walter J.:
Multidimensional characterization of noble metal alloy nanoparticles by multiwavelength analytical ultracentrifugation
In: Nanoscale (2022)
ISSN: 2040-3364
DOI: 10.1039/d2nr02633c
Coclite GM., De Nitti N., Keimer A., Pflug L.:
On existence and uniqueness of weak solutions to nonlocal conservation laws with BV kernels
In: Zeitschrift für Angewandte Mathematik und Physik 73 (2022), Article No.: 241
ISSN: 0044-2275
DOI: 10.1007/s00033-022-01766-0
Jaksch A., Spinola M., Cholewa S., Pflug L., Stingl M., Drummer D.:
Thin-Walled Part Properties in PBF-LB/P — Experimental Understanding and Nonlocal Material Model
SFF 2022 (Austin, Texas, 25. July 2022 - 27. July 2022)
DOI: 10.26153/tsw/44659
Meincke T., Walter J., Pflug L., Thajudeen T., Völkl A., Cardenas Lopez PI., Uttinger M., Stingl M., Watanabe S., Peukert W., Klupp Taylor R.:
Determination of the yield, mass and structure of silver patches on colloidal silica using multiwavelength analytical ultracentrifugation
In: Journal of Colloid and Interface Science 607 (2022), p. 698-710
ISSN: 0021-9797
DOI: 10.1016/j.jcis.2021.08.161
URL: https://www.researchgate.net/publication/354270035_Determination_of_the_yield_mass_and_structure_of_silver_patches_on_colloidal_silica_using_multiwavelength_analytical_ultracentrifugation
Singh S., Pflug L., Mergheim J., Stingl M.:
Robust design optimization for enhancing delamination resistance of composites
In: International Journal for Numerical Methods in Engineering (2022)
ISSN: 0029-5981
DOI: 10.1002/nme.7168

2021

Bayen A., Coron JM., De Nitti N., Keimer A., Pflug L.:
Boundary Controllability and Asymptotic Stabilization of a Nonlocal Traffic Flow Model
In: Vietnam Journal of Mathematics (2021)
ISSN: 0866-7179
DOI: 10.1007/s10013-021-00506-7
Coclite GM., De Nitti N., Keimer A., Pflug L.:
Singular limits with vanishing viscosity for nonlocal conservation laws
In: Nonlinear Analysis - Theory Methods & Applications (2021)
ISSN: 0362-546X
DOI: 10.1016/j.na.2021.112370
Coclite GM., De Nitti N., Keimer A., Pflug L.:
Singular limits with vanishing viscosity for nonlocal conservation laws
In: Nonlinear Analysis - Theory Methods & Applications 211 (2021), Article No.: 112370
ISSN: 0362-546X
DOI: 10.1016/j.na.2021.112370
Dienstbier J., Aigner KM., Rolfes J., Peukert W., Segets D., Pflug L., Liers F.:
Robust Optimization in Nanoparticle Technology: A Proof of Principle by Quantum Dot Growth in a Residence Time Reactor
In: Computers & Chemical Engineering (2021)
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2021.107618
URL: http://www.optimization-online.org/DB_HTML/2021/02/8262.html
Singh S., Pflug L., Stingl M.:
Material optimization to enhance delamination resistance of composite structures using viscous regularization
In: Computer Methods in Applied Mechanics and Engineering (2021)
ISSN: 0045-7825
DOI: 10.1016/j.cma.2021.113881
URL: https://www.sciencedirect.com/science/article/pii/S0045782521002188

2020

Coron JM., Keimer A., Pflug L.:
Nonlocal Transport Equations-Existence and Uniqueness of Solutions and Relation to the Corresponding Conservation Laws
In: SIAM Journal on Mathematical Analysis 52 (2020), p. 5500-5532
ISSN: 0036-1410
DOI: 10.1137/20M1331652
Keimer A., Pflug L., Spinola M.:
Nonlocal balance laws - results on existence, uniqueness and regularity
XVII International Conference (HYP2018) on Hyperbolic Problems (Pennsylvania State University, University Park (USA), 25. June 2018 - 29. June 2018)
In: AIMS Series on Applied Mathematics (ed.): 10 2020
URL: https://www.aimsciences.org/book/AM/volume/Volume 10
Kergaßner A., Burkhardt C., Lippold D., Kergaßner M., Pflug L., Budday D., Steinmann P., Budday S.:
Memory-based meso-scale modeling of Covid-19
In: Computational Mechanics (2020)
ISSN: 0178-7675
DOI: 10.1007/s00466-020-01883-5
Pflug L., Bernhardt N., Grieshammer M., Stingl M.:
CSG: A new stochastic gradient method for the efficient solution of structural optimization problems with infinitely many states
In: Structural and Multidisciplinary Optimization (2020)
ISSN: 1615-147X
DOI: 10.1007/s00158-020-02571-x
Pflug L., Schikarski T., Keimer A., Peukert W., Stingl M.:
eMoM: Exact method of moments—Nucleation and size dependent growth of nanoparticles
In: Computers & Chemical Engineering 136 (2020), Article No.: 106775
ISSN: 0098-1354
DOI: 10.1016/j.compchemeng.2020.106775
Spinola M., Keimer A., Segets D., Leugering G., Pflug L.:
Model-Based Optimization of Ripening Processes with Feedback Modules
In: Chemical Engineering & Technology 43 (2020), p. 896-903
ISSN: 0930-7516
DOI: 10.1002/ceat.201900515
Spinola M., Keimer A., Segets D., Pflug L., Leugering G.:
Modeling, Simulation and Optimization of Process Chains
In: Heinrich, Stefan (ed.): Dynamic Flowsheet Simulation of Solids Processes, Springer International Publishing, 2020, p. 549-578
ISBN: 978-3-030-45167-7
DOI: 10.1007/978-3-030-45168-4

2019

Frank U., Wawra S., Pflug L., Peukert W.:
Multidimensional Particle Size Distributions and Their Application to Nonspherical Particle Systems in Two Dimensions
In: Particle & Particle Systems Characterization (2019), Article No.: 1800554
ISSN: 0934-0866
DOI: 10.1002/ppsc.201800554
Güldenpfennig A., Pflug L., Peukert W.:
How to Estimate Material Parameters for Multiphase, Multicomponent Precipitation Modeling
In: Crystal Growth and Design 19 (2019), p. 2785-2793
ISSN: 1528-7483
DOI: 10.1021/acs.cgd.9b00027
Keimer A., Pflug L.:
Nonlocal conservation laws with time delay
In: Nodea-Nonlinear Differential Equations and Applications 26 (2019), Article No.: 54
ISSN: 1021-9722
DOI: 10.1007/s00030-019-0597-z
Pflug L., Keimer A.:
On approximation of local conservation laws by nonlocal conservation laws
In: Journal of Mathematical Analysis and Applications 475 (2019), p. 1927-1955
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.03.063
Süß S., Lin W., Getmanenko O., Pflug L., Sobisch T., Peukert W., Lerche D., Segets D.:
Suspension- and powder-based derivation of Hansen dispersibility parameters for zinc oxide quantum dots
In: Particuology 44 (2019), p. 71-79
ISSN: 1674-2001
DOI: 10.1016/j.partic.2018.05.010

2018

Keimer A., Pflug L., Spinola M.:
Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
In: Journal of Mathematical Analysis and Applications 466 (2018), p. 18-55
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2018.05.013
Klupp Taylor R., Meincke T., Sadafi FZ., Walter J., Pflug L., Watanabe S., Peukert W., Stingl M.:
Anisometric engineering of particle interfaces: Multidimensional characterization and gram‐scale production
ProcessNet‐Jahrestagung und 33. DECHEMA‐Jahrestagung der Biotechnologen 2018 (Aachen, 11. September 2018 - 13. September 2018)
In: Chemie Ingenieur Technik (Special Issue: ProcessNet‐Jahrestagung und 33. DECHEMA‐Jahrestagung der Biotechnologen 2018), Weinheim: 2018
DOI: 10.1002/cite.201855147
URL: https://onlinelibrary.wiley.com/doi/abs/10.1002/cite.201855147?af=R
Pflug L., Spinola M., Keimer A.:
NONLOCAL SCALAR CONSERVATION LAWS ON BOUNDED DOMAINS AND APPLICATIONS IN TRAFFIC FLOW
In: SIAM Journal on Mathematical Analysis 50 (2018), p. 6271-6306
ISSN: 0036-1410
DOI: 10.1137/18M119817X
Pflug L., Stingl M.:
Multi-Material Optimization of Nanoparticles by Discrete Dipole Approximation and Sequential Global Programming
In: Thomas Wriedt, Yuri Eremin Eds. (ed.): Proceedings of the Bremen Workshopon Light Scattering: 2018, 2018
Semmler J., Pflug L., Stingl M.:
Material optimization in transverse electromagnetic scattering applications
In: SIAM Journal on Scientific Computing 40 (2018), p. B85-B109
ISSN: 1064-8275
DOI: 10.1137/17M1127569
Wawra S., Pflug L., Thajudeen T., Kryschi C., Stingl M., Peukert W.:
Determination of the two-dimensional distributions of gold nanorods by multiwavelength analytical ultracentrifugation
In: Nature Communications 9 (2018), Article No.: 4898
ISSN: 2041-1723
DOI: 10.1038/s41467-018-07366-9

2017

Distaso M., Zhuromskyy O., Seemann B., Pflug L., Mackovic M., Encina ER., Klupp Taylor R., Müller R., Leugering G., Spiecker E., Peschel U., Peukert W.:
Interaction of light with hematite hierarchical structures: Experiments and simulations
In: Journal of Quantitative Spectroscopy & Radiative Transfer 189 (2017), p. 369-382
ISSN: 0022-4073
DOI: 10.1016/j.jqsrt.2016.12.028
Keimer A., Pflug L.:
Existence, uniqueness and regularity results on nonlocal balance laws
In: Journal of Differential Equations 263 (2017), p. 4023-4069
ISSN: 0022-0396
DOI: 10.1016/j.jde.2017.05.015
Meincke T., Bao H., Pflug L., Stingl M., Klupp Taylor R.:
Heterogeneous nucleation and surface conformal growth of silver nanocoatings on colloidal silica in a continuous flow static T-mixer
In: Chemical Engineering Journal 308 (2017), p. 89-100
ISSN: 1385-8947
DOI: 10.1016/j.cej.2016.09.048

2016

Leugering G., Pflug L., Spinola M.:
Adjungierten-basierte Prozessoptimierung der Nanopartikel-Synthese
In: Chemie Ingenieur Technik 88 (2016), p. 1366-1367
ISSN: 0009-286X
DOI: 10.1002/cite.201650478

2015

Haderlein M., Segets D., Gröschel M., Pflug L., Leugering G., Peukert W.:
FIMOR: An efficient simulation for ZnO quantum dot ripening applied to the optimization of nanoparticle synthesis
In: Chemical Engineering Journal 260 (2015), p. 706--715
ISSN: 0300-9467
DOI: 10.1016/j.cej.2014.09.040
Peukert W., Segets D., Haderlein M., Pflug L., Leugering G., Gröschel M.:
From in situ characterization to process control of quantum dot systems
7th World Congress on Particle Technology, WCPT 2014 (Bejing, 19. May 2014 - 22. May 2014)
DOI: 10.1016/j.proeng.2015.01.129
Peukert W., Segets D., Pflug L., Leugering G.:
Unified Design Strategies for Particulate Products
Academic Press Inc., 2015
(Advances in Chemical Engineering, Vol.46)
ISBN: 978-0-12-801247-5
DOI: 10.1016/bs.ache.2015.10.004
Semmler J., Pflug L., Stingl M., Leugering G.:
Shape Optimization in Electromagnetic Applications
In: Aldo Pratelli, Günter Leugering (ed.): New Trends in Shape Optimization, Springer, 2015, p. 251-269 (International Series of Numerical Mathematics, Vol.166)
DOI: 10.1007/978-3-319-17563-8_11