Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach
Existence and stability of steady-state solutions of the shallow-ice-sheet equation by an energy-minimization approach
复制标题
能量最小化法浅冰盖方程稳态解的存在性和稳定性
作者：
G. Jouvet;J. Rappaz;E. Bueler;H. Blatter
本文证明了在固定边界条件下，质量平衡随高度线性变化的平坦水平床上非滑动浅冰盖方程解的存在性。同样质量平衡的自由边际解决方案是不存在的。固定边界解在边界处示出了无界剪应力和非零质量通量。对具有Weertman型滑移的冰盖进行了数值模拟，得到了具有真实边界、零冰通量和零剪应力的稳态解。
Abstract The existence of solutions of the non-sliding shallow-ice-sheet equation on a flat horizontal bed with a mass balance linearly depending on altitude is proven for fixed margins. Free-margin solutions for the same mass balance do not exist. Fixed-margin solutions show unbounded shear stress and nonzero mass flux at the margin. Steady-state solutions with realistic margins, vanishing ice flux and vanishing shear stress are found numerically for ice sheets with Weertman-type sliding.