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

页码：209 / 236

页数：28

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