Wave scattering at the sea-ice/ice-shelf transition with other applications

摘要: We present a mathematical model that describes how ice‐coupled (flexural‐gravity) waves traveling beneath uniform, floating sea‐ice sheet, defined over $(-\infty,0)$, propagate into second ice sheet $(l,\infty)$ of different thickness by way an arbitrarily transition region finite width $(0,l)$. Each is represented as Euler–Bernoulli thin plate with prescribed and material properties, either or both which vary across the transition. The most familiar application this geometry to abutting ice‐shelf—a common occurrence found in waters around Antarctica parts Arctic skirting sikussak—the band extremely thick coastal fast can form when local sheltered from destructive storms. Another breakwaters, also discussed. By using Green’s theorem two coupled integral equations are derived: one $(0,l)$ Wiener–Hopf type, $(l,\infty)$. ...