Dr. Alexander Keimer
Dr. Alexander Keimer
Lehrveranstaltungen
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Publikationen
2025
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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), Art.Nr.: 129307
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2025.129307
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2024
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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), Art.Nr.: 128358
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2024.128358
BibTeX: Download - , , , :
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 (Hrsg.): Hyperbolic Problems: Theory, Numerics, Applications. Volume II, Cham: 2024
DOI: 10.1007/978-3-031-55264-9_30
BibTeX: Download - , , , , , :
Deep learning of first-order nonlinear hyperbolic conservation law solvers
In: Journal of Computational Physics 511 (2024), Art.Nr.: 113114
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2024.113114
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2023
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A proof of Kirchhoff’s first law for hyperbolic conservation laws on networks
In: Networks and Heterogeneous Media 18 (2023), S. 1799-1819
ISSN: 1556-181X
DOI: 10.3934/NHM.2023078
BibTeX: Download - , , , , :
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 - , :
Nonlocal balance laws – an overview over recent results
DOI: 10.1016/bs.hna.2022.11.001
BibTeX: Download - , :
On the singular limit problem for a discontinuous nonlocal conservation law
In: Nonlinear Analysis - Theory Methods & Applications 237 (2023), Art.Nr.: 113381
ISSN: 0362-546X
DOI: 10.1016/j.na.2023.113381
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2021
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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
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2019
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On approximation of local conservation laws by nonlocal conservation laws
In: Journal of Mathematical Analysis and Applications 475 (2019), S. 1927-1955
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.03.063
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2018
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Existence, uniqueness and regularity of multi-dimensional nonlocal balance laws with damping
In: Journal of Mathematical Analysis and Applications 466 (2018), S. 18-55
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2018.05.013
BibTeX: Download - , , :
NONLOCAL SCALAR CONSERVATION LAWS ON BOUNDED DOMAINS AND APPLICATIONS IN TRAFFIC FLOW
In: SIAM Journal on Mathematical Analysis 50 (2018), S. 6271-6306
ISSN: 0036-1410
DOI: 10.1137/18M119817X
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2017
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Existence, uniqueness and regularity results on nonlocal balance laws
In: Journal of Differential Equations 263 (2017), S. 4023-4069
ISSN: 0022-0396
DOI: 10.1016/j.jde.2017.05.015
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2015
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ANALYSIS OF A SYSTEM OF NONLOCAL CONSERVATION LAWS FOR MULTI-COMMODITY FLOW ON NETWORKS
In: Networks and Heterogeneous Media 10 (2015), S. 749-785
ISSN: 1556-1801
DOI: 10.3934/nhm.2015.10.749
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2014
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Regularity Theory and Adjoint-Based Optimality Conditions for a Nonlinear Transport Equation with Nonlocal Velocity
In: SIAM Journal on Control and Optimization 52 (2014), S. 2141--2163
ISSN: 0363-0129
DOI: 10.1137/120873832
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2009
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Optimal distributed control of the wave equation subject to state constraints
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 89 (2009), S. 420-444
ISSN: 0044-2267
DOI: 10.1002/zamm.200800196
URL: http://www3.interscience.wiley.com/journal/5007542/home
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