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A free boundary problem related to laser beam fusion cutting: ODE approximation

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Publication:1276918
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DOI10.1016/S0017-9310(96)00342-0zbMath0916.76089WikidataQ126408762 ScholiaQ126408762MaRDI QIDQ1276918

K. Appert

Publication date: 26 May 1999

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)


zbMATH Keywords

analytical solutionvariational formulationsurface temperatureheat contentseparation of time scalesthermal emission


Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Variational methods applied to problems in fluid mechanics (76M30) Lasers, masers, optical bistability, nonlinear optics (78A60) Free boundary problems for PDEs (35R35)


Related Items (5)

Unilateral conditions modelling the cut front during plasma cutting: FEM solution ⋮ Biological and industrial models motivating nonlocal conservation laws: a review of analytic and numerical results ⋮ Nonlocal systems of balance laws in several space dimensions with applications to laser technology ⋮ A hyperbolic model for the laser cutting process ⋮ Mathematical modelling and stability analysis for laser cutting







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