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Mathematics

D-Index
46
Citations
7405
World Ranking
1380
National Ranking
78

Overview

Axel Klar is affiliated with the Technical University of Kaiserslautern in Germany. Their research focuses primarily on engineering, with specific contributions across several subfields including computational mechanics, control and systems engineering, ocean engineering, modeling and simulation, and statistical and nonlinear physics.

The scientist's recent publications cover a range of applied mathematical and computational topics. Notable papers include:

  • Modeling glioma invasion with anisotropy- and hypoxia-triggered motility enhancement: From subcellular dynamics to macroscopic PDEs with multiple taxis (2020, Mathematical Models and Methods in Applied Sciences)
  • A stochastic model for the fiber lay-down process in the nonwoven production (2022, Publication Server of Kaiserslautern University of Technology)
  • A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries (2022, Journal of Computational Physics)
  • Kinetic-controlled hydrodynamics for multilane traffic models (2021, Physica A Statistical Mechanics and its Applications)
  • Model order reduction of hyperbolic systems focusing on district heating networks (2021, Journal of the Franklin Institute)

Axel Klar has coauthored publications with frequent collaborators including Raul Borsche, Sudarshan Tiwari, Wolfgang Böck, and Anna Daniel Fome. Their work is disseminated through various publication venues, with a concentration on the following platforms:

  • arXiv (Cornell University)
  • Mathematical Models and Methods in Applied Sciences
  • Physica A Statistical Mechanics and its Applications
  • Journal of Computational Physics
  • Publication Server of Kaiserslautern University of Technology

The scientist has also contributed to academic book literature, including a publication with Springer International Publishing titled Modeling, Simulation and Optimization in the Health- and Energy-Sector (2022).

The main research topics covered in Axel Klar's work include:

  • Traffic control and management
  • Evacuation and crowd dynamics
  • Lattice Boltzmann simulation studies
  • Gas dynamics and kinetic theory
  • Transportation planning and optimization
  • COVID-19 epidemiological studies
  • Mathematical biology tumor growth

Best Publications

  • Asymptotic analysis of the lattice Boltzmann equation

    Michael Junk;Axel Klar;Li-Shi Luo

  • Derivation of Continuum Traffic Flow Models from Microscopic Follow-the-Leader Models

    A. Aw;Axel Klar;Michel Rascle;Thorsten Materne

  • Gas flow in pipeline networks

    Mapundi K. Banda;Michael Herty;Axel Klar

  • Simplified P N approximations to the equations of radiative heat transfer and applications

    Edward W. Larsen;Guido Thömmes;Axel Klar;Mohammed Seaïd

  • An Asymptotic-Induced Scheme for Nonstationary Transport Equations in the Diffusive Limit

    Axel Klar

  • Coupling conditions for gas networks governed by the isothermal Euler equations

    Mapundi K. Banda;Michael Herty;Axel Klar

  • Modeling, Simulation, and Optimization of Traffic Flow Networks

    M. Herty;A. Klar

  • A hierarchy of models for multilane vehicular traffic I: modeling

    Axel Klar;Raimund Wegener

  • Optimal control for traffic flow networks

    M. Gugat;M. Herty;A. Klar;G. Leugering

  • Mathematical Models for Vehicular Traffic

    Axel Klar;R. D. Kühne;R. Wegener

  • Enskog-like kinetic models for vehicular traffic

    Axel Klar;R. Wegener

  • Network models for supply chains

    Simone Göttlich;Michael Herty;Axel Klar

  • CONGESTION ON MULTILANE HIGHWAYS

    Axel Klar;James M. Greenberg;Michel Rascle

  • Kinetic derivation of macroscopic anticipation models for vehicular traffic

    Axel Klar;Raimund Wegener

  • Modelling and optimization of supply chains on complex networks

    Simone Göttlich;Michael Herty;Axel Klar

  • SELF-PROPELLED INTERACTING PARTICLE SYSTEMS WITH ROOSTING FORCE

    José A. Carrillo;Axel Klar;Stephan Martin;Sudarshan Tiwari

  • An adaptive domain decomposition procedure for Boltzmann and Euler equations

    S. Tiwari;A. Klar

  • Time-dependent simplified PN approximation to the equations of radiative transfer

    Martin Frank;Axel Klar;Edward W. Larsen;Shugo Yasuda

  • Half-moment closure for radiative transfer equations

    B. Dubroca;A. Klar

  • Optimal control for continuous supply network models

    Claus Kirchner;Michael Herty;Simone Göttlich;Axel Klar

  • Modelling and Optimisation of Flows on Networks

    Luigi Ambrosio;Alberto Bressan;Dirk Helbing;Axel Klar

Frequent Co-Authors

Michael Herty
Michael Herty RWTH Aachen University
Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Giovanni Russo
Giovanni Russo University of Catania
José A. Carrillo
José A. Carrillo University of Oxford
Edward W. Larsen
Edward W. Larsen University of Michigan–Ann Arbor
Lorenzo Pareschi
Lorenzo Pareschi Heriot-Watt University
Luis L. Bonilla
Luis L. Bonilla Carlos III University of Madrid
Günter Leugering
Günter Leugering University of Erlangen-Nuremberg
Benedetto Piccoli
Benedetto Piccoli Rutgers, The State University of New Jersey
Dirk Helbing
Dirk Helbing ETH Zurich

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