Fast reaction limit and large time behavior of solutions to a nonlinear model of sulphation phenomena

被引：91

作者：

Guarguaglini, F. R.

Natalini, R. ^{[1
]}

机构：

[1] CNR, Inst Applicaz Calcolo M Picone, Viale Policlin 137, I-00161 Rome, Italy

[2] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

来源：

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 32卷 / 02期

关键词：

asymptotic time behavior; fast reaction limits; nonlinear parabolic equations; reaction-diffusion systems; sulphation phenomena;

D O I：

10.1080/03605300500361438

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the qualitative behavior of solutions to the initial-boundary value problem on the half-line for a nonlinear system of parabolic equations, which arises to describe the evolution of the chemical reaction of sulphur dioxide with the surface of calcium carbonate stones. We show that, both in the fast reaction limit and for large times, the solutions of this problem are well described in terms of the solutions to a suitable one phase Stefan problem on the same domain.

引用

页码：163 / 189

页数：27

共 25 条

[11]

KAMIN S, 1973, ISR J MATH, V14, P105

[12] INITIATION OF SLIME MOLD AGGREGATION VIEWED AS AN INSTABILITY [J].

KELLER, EF ;

SEGEL, LA .

JOURNAL OF THEORETICAL BIOLOGY, 1970, 26 (03) :399-&

[13]

Kinderlehrer D., 1980, An Introduction to Variational Inequalities and Their Applications

[14]

KRUZHIKOV SN, 1970, MAT SBORNIK, V81, P255

[15]

Kruzkov SN, 1970, Mat. Sb. (N.S.), V10, P217, DOI [10.1070/SM1970v010n02ABEH002156, DOI 10.1070/SM1970V010N02ABEH002156]

[16]

Ladyzenskaja O. A., 1968, Linear and Quasi-linear Equation of Parabolic Type

[17]

Lal Gauri K, 1999, CARBONATE STONE CHEM

[18] A system of reaction diffusion equations arising in the theory of reinforced random walks [J].

Levine, HA ;

Sleeman, BD .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1997, 57 (03) :683-730

[19]

RASCLE M, 1995, J MATH BIOL, V33, P388

[20]

Shizuta Y., 1985, Hokkaido Math. J., V14, P249

← 1 2 3 →