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An old problem resurfaces nonlocally: Gamow’s liquid drops inspire today’s research and applications. (English) Zbl 1376.49059

Summary: G. Gamow’s [“Mass defect curve and nuclear constitution”, Proc. R. Soc. Lond. A 126, No. 803, 632–644 (1930)] simple liquid drop model of an atomic nucleus recently captured the attention of mathematicians and has inspired numerous advances and open questions in geometric and variational analysis.

MSC:

49Q20 Variational problems in a geometric measure-theoretic setting
35Q60 PDEs in connection with optics and electromagnetic theory
49J40 Variational inequalities
49S05 Variational principles of physics
82D40 Statistical mechanics of magnetic materials
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