Dr. Alexander Keimer

2025

• 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
  BibTeX: Download

2024

• Chiarello FA., Keimer A.:
  On the singular limit problem in nonlocal balance laws: Applications to nonlocal lane-changing traffic flow models
  In: Journal of Mathematical Analysis and Applications 537 (2024), Article No.: 128358
  ISSN: 0022-247X
  DOI: 10.1016/j.jmaa.2024.128358
  BibTeX: Download
• 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, 20-06-2022 - 24-06-2022)
  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
  BibTeX: Download
• Morand V., Müller N., Weightman R., Piccoli B., Keimer A., Bayen AM.:
  Deep learning of first-order nonlinear hyperbolic conservation law solvers
  In: Journal of Computational Physics 511 (2024), Article No.: 113114
  ISSN: 0021-9991
  DOI: 10.1016/j.jcp.2024.113114
  BibTeX: Download

2023

• Bayen AM., Keimer A., Müller N.:
  A proof of Kirchhoff’s first law for hyperbolic conservation laws on networks
  In: Networks and Heterogeneous Media 18 (2023), p. 1799-1819
  ISSN: 1556-181X
  DOI: 10.3934/NHM.2023078
  BibTeX: Download
• 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
  BibTeX: Download
• Keimer A., Pflug L.:
  Nonlocal balance laws – an overview over recent results
  DOI: 10.1016/bs.hna.2022.11.001
  BibTeX: Download
• 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
  BibTeX: Download

2021

• 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
  BibTeX: Download

2019

• 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
  BibTeX: Download

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
  BibTeX: Download
• 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
  BibTeX: Download

2017

• 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
  BibTeX: Download

2015

• Gugat M., Keimer A., Leugering G., Wang Z.:
  ANALYSIS OF A SYSTEM OF NONLOCAL CONSERVATION LAWS FOR MULTI-COMMODITY FLOW ON NETWORKS
  In: Networks and Heterogeneous Media 10 (2015), p. 749-785
  ISSN: 1556-1801
  DOI: 10.3934/nhm.2015.10.749
  BibTeX: Download

2014

• Gröschel M., Keimer A., Leugering G., Wang Z.:
  Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity
  In: SIAM Journal on Control and Optimization 52 (2014), p. 2141--2163
  ISSN: 0363-0129
  DOI: 10.1137/120873832
  BibTeX: Download

2009

• Gugat M., Keimer A., Leugering G.:
  Optimal distributed control of the wave equation subject to state constraints
  In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 89 (2009), p. 420-444
  ISSN: 0044-2267
  DOI: 10.1002/zamm.200800196
  URL: http://www3.interscience.wiley.com/journal/5007542/home
  BibTeX: Download