This paper presents a new hyperbolic model aimed at the description of an industrial continuous wave fusion laser cutting process. Analytically, it consists of a non standard 2X2 system of balance laws. Stationary solutions are studied analytically and have physically reasonable properties. They are also proved to be linearly strongly stable with respect to small perturbations. Numerical results illustrate the analytical properties
Colombo, M., Guerra, G., Herty, M., Marcellini, F. (2013). A hyperbolic model for the laser cutting process. APPLIED MATHEMATICAL MODELLING, 37(14/15), 7810-7821 [10.1016/j.apm.2013.02.031].
A hyperbolic model for the laser cutting process
GUERRA, GRAZIANO;MARCELLINI, FRANCESCA
2013
Abstract
This paper presents a new hyperbolic model aimed at the description of an industrial continuous wave fusion laser cutting process. Analytically, it consists of a non standard 2X2 system of balance laws. Stationary solutions are studied analytically and have physically reasonable properties. They are also proved to be linearly strongly stable with respect to small perturbations. Numerical results illustrate the analytical properties
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