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]. 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.
On a free boundary problem arising in snow avalanche dynamics / Calusi, Benedetta; Fusi, Lorenzo; Farina, Angiolo. - In: ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND MECHANIK. - ISSN 1521-4001. - STAMPA. - (2016), pp. 1-13. [10.1002/zamm.201400250]
On a free boundary problem arising in snow avalanche dynamics
Calusi, Benedetta;FUSI, LORENZO;FARINA, ANGIOLO
2016
Abstract
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]. 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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