Existence and regularity theorems for a free boundary problem governing a simple climate model
Xiangsheng Xu · Applicable Analysis · 1991
From a class of mean annual, zonally averaged energy–balance climate models of the Budyko‐Sellers type, we arrive at a free boundary problem with the free boundary being the interface between ice‐covered and ice-free areas. Existence and regularity properties are proved for weak solutions of the problem. In particular, the regularity of the free boundary is investigated