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On a free boundary problem arising in snow avalanche dynamics
Author(s) -
Calusi Benedetta,
Fusi Lorenzo,
Farina Angiolo
Publication year - 2016
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201400250
Subject(s) - free boundary problem , uniqueness , snow , boundary (topology) , boundary problem , boundary value problem , argument (complex analysis) , dynamics (music) , mathematics , mathematical analysis , physics , meteorology , biochemistry , chemistry , acoustics
In this paper we prove a local result of existence and uniqueness for a free boundary problem for snow avalanche arising from a new model proposed in [5][E. Bovet, 2012]. The mathematical problem consists of a parabolic free boundary problem with non‐standard free boundary conditions (erosion dynamics). The proof is essentially based on a fixed point argument.