A geometric approach to fingering instabilities for reaction fronts in fully coupled geochemical systems

被引：5

作者：

Crompton, S

Grindrod, P

机构：

[1] QuantiSci Limited, Chiltern House, Oxfordshire RG9 1AT

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 1996年 / 57卷 / 01期

关键词：

D O I：

10.1093/imamat/57.1.29

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A geometrical approach described by Grindrod (1995, Proc. R. Sec. Lend. A 449, 123-38) is applied to analyse spontaneous symmetry breaking of planar reaction fronts in fully coupled reaction-diffusion-advection problems arising in geochemistry. This method yields stability results qualitatively similar to those of Ortoleva et al. (1987, Am. J. Sci. 287, 1008-40) and Chen & Ortoleva (1990, Earth Sci. Rev. 29, 183-98; 1992, Modelling and Analysis of Diffusive and Advective Processes in Geosciences, SIAM), yet distinct in the treatment of large-wavenumber perturbations. The analysis is verified numerically.

引用

页码：29 / 40

页数：12

共 9 条

[1]

CHADAM JM, 1993, FREE BOUNDARY PROBLE, P282

[2]

CHADAM JM, 1993, PITMAN RES NOTES MAT, V280

[3]

CHEN W, 1990, EARTH-SCI REV, V29, P183

[4]

Chen W., 1992, MODELING ANAL DIFFUS, P52

[5] THE GEOMETRY AND MOTION OF SHARP FRONTS WITHIN GEOCHEMICAL TRANSPORT PROBLEMS [J].

GRINDROD, P .

PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1995, 449 (1935) :123-138

[6]

GRINDROD P, 1992, P 12 C O PDES DUND

[7]

GRINDROD P, 1994, P MRS C KYOT 1994

[8]

GRINDROD P, 1991, PATTERNS WAVES REACT

[9] GEOCHEMICAL SELF-ORGANIZATION .2. THE REACTIVE-INFILTRATION INSTABILITY [J].

ORTOLEVA, P ;

CHADAM, J ;

MERINO, E ;

SEN, A .

AMERICAN JOURNAL OF SCIENCE, 1987, 287 (10) :1008-1040

← 1 →