Axel Klar
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
Research Subjects
Axel Klar has a total of 13 co-authors. Here are the top co-authors by number of shared publications:
Fachbereich Mathematik Technische Universität Kaiserslautern
3 shared publications- Michael Herty3 shared publications
- Mapundi Kondwani Banda
Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa
2 shared publications - Mohammed Seaid
University of Durham
2 shared publications - Simone Göttlich
University of Mannheim, Department of Mathematics, 68131 Mannheim, Germany
2 shared publications Technische Universität Kaiserslautern Fachbereich Mathematik
2 shared publications
Latest Publications
- Open Access
Exponential rate of convergence to equilibrium for a model describing fiber lay-down processes
This paper is devoted to the adaptation of the method developed in [4,3] to a Fokker-Planck equation for fiber lay-down which has been studied in [1,5]. Exponential convergence towards a unique stationary state is proved in a norm which is equivalent to a weighted $L^2$ norm. The method is based on a micro / macro decomposition which is well adapted to the diffusion limit regime.Open AccessExponential rate of convergence to equilibrium for a model describing fiber lay-down processes
This paper is devoted to the adaptation of the method developed in [4,3] to a Fokker-Planck equation for fiber lay-down which has been studied in [1,5]. Exponential convergence towards a unique stationary state is proved in a norm which is equivalent to a weighted $L^2$ norm. The method is based on a micro / macro decomposition which is well adapted to the diffusion limit regime. - 16 September 2008
- Published by Springer Nature in Journal of Scientific Computing
- Vol. 38 (3) , 349-367
A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics
- 16 September 2008
- Published by Springer Nature in Journal of Scientific Computing
- Vol. 38 (3) , 349-367
A Semi-Lagrangian Method for a Fokker-Planck Equation Describing Fiber Dynamics
- Open Access
- 1 January 2008
- Published by American Institute of Mathematical Sciences (AIMS) in Kinetic and Related Models
- Vol. 1 (4) , 557-572
Derivation of a kinetic model from a stochastic particle system
We study a stochastic lattice particle system with exclusion principle. A kinetic equation and its diffusion limit are formally derived from the Monte Carlo dynamics. This derivation is investigated analytically and numerically and compared with the classical hydrodynamic limit of the stochastic exclusion process. Numerical results are presented for different values of jump probabilities.
- 1 January 2008
- Published by American Institute of Mathematical Sciences (AIMS) in Kinetic and Related Models
- Vol. 1 (4) , 557-572
Open AccessDerivation of a kinetic model from a stochastic particle system
We study a stochastic lattice particle system with exclusion principle. A kinetic equation and its diffusion limit are formally derived from the Monte Carlo dynamics. This derivation is investigated analytically and numerically and compared with the classical hydrodynamic limit of the stochastic exclusion process. Numerical results are presented for different values of jump probabilities.
- Open Access
- 1 January 2006
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 1 (4) , 675-688
Optimal control for continuous supply network models
- 1 January 2006
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 1 (4) , 675-688
Open AccessOptimal control for continuous supply network models
- Open Access
- 1 January 2006
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 1 (1) , 41-56
Gas flow in pipeline networks
We introduce a model for gas flow in pipeline networks based on the isothermal Euler equations. We model the intersection of multiple pipes by posing an additional assumption on the pressure at the interface. We give a method to obtain solutions to the gas network problem and present numerical results for sample networks.
- 1 January 2006
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 1 (1) , 41-56
Open AccessGas flow in pipeline networks
We introduce a model for gas flow in pipeline networks based on the isothermal Euler equations. We model the intersection of multiple pipes by posing an additional assumption on the pressure at the interface. We give a method to obtain solutions to the gas network problem and present numerical results for sample networks.
- Open Access
- 1 January 2006
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 1 (2) , 295-314
Coupling conditions for gas networks governed by the isothermal Euler equations
We investigate coupling conditions for gas transport in networks where the governing equations are the isothermal Euler equations. We discuss intersections of pipes by considering solutions to Riemann problems. We introduce additional assumptions to obtain a solution near the intersection and we present numerical results for sample networks.
- 1 January 2006
- Published by American Institute of Mathematical Sciences (AIMS) in Networks and Heterogeneous Media
- Vol. 1 (2) , 295-314
Open AccessCoupling conditions for gas networks governed by the isothermal Euler equations
We investigate coupling conditions for gas transport in networks where the governing equations are the isothermal Euler equations. We discuss intersections of pipes by considering solutions to Riemann problems. We introduce additional assumptions to obtain a solution near the intersection and we present numerical results for sample networks.