On a free boundary problem arising in snow avalanche dynamics | Zendy

Calusi Benedetta | Zendy; Fusi Lorenzo | Zendy; Farina Angiolo | Zendy

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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.

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