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Hyperbolic PDEs occur for example in fluid mechanics (aeronautics, two-phase flows, modelling of dam breakage and avalanches). They are often obtained by neglecting the diffusion phenomena (because these are small at the considered scale) in the conservation equations of mechanics (for example, conservation of momentum or energy).

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Hyperbolic Problems

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  • 发表日期：

    2025年

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  • Thierry Gallouët,
  • Raphaèle Herbin

摘要

Hyperbolic PDEs occur for example in fluid mechanics (aeronautics, two-phase flows, modelling of dam breakage and avalanches). They are often obtained by neglecting the diffusion phenomena (because these are small at the considered scale) in the conservation equations of mechanics (for example, conservation of momentum or energy).