A NON-STANDARD FREE BOUNDARY PROBLEM ARISING FROM STRATIGRAPHY

被引：10
|
作者：
Antontsev, S. N. [1 ]
Gagneux, G. [2 ]
Luce, R. [2 ]
Vallet, G. [2 ]
机构：
[1] Univ Beira Interior, Dept Math, P-6201001 Covilha, Portugal
[2] IPRA, LMA UMR CNRS 5142, F-64013 Pau, France
来源：
ANALYSIS AND APPLICATIONS | 2006年 / 4卷 / 03期
关键词：
Stratigraphic models; weather limited; degenerated parabolic-hyperbolic conservation laws;
D O I：
10.1142/S0219530506000759
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are interested in the mathematical analysis of a geological stratigraphic model, taking into account a limited weathering condition. Firstly, we present the physical model and the mathematical formulation, which lead to an original locally hyperbolic conservation law. Then, after some heuristic simplifications, the definition of a solution and some mathematical tools in order to resolve the problem are given. Within the framework of sedimentation processes, we illustrate in the 1 - D case the changing type of the equation: hyperbolic with finite speed propagation and parabolic with diffusive comportment or stationary. At the end, we present some open problems related to free boundary phenomena.
引用
收藏
页码：209 / 236
页数：28
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