Critical parameter equations for degenerate parabolic equations coupled via nonlinear boundary flux

被引：0

作者：

Xu, Si ^{[1
]}

Song, Zifen ^{[1
]}

机构：

[1] Jiangxi Vocat Coll Finance & Econ, Dept Math, Jiujiang 332000, Jiangxi, Peoples R China

来源：

BOUNDARY VALUE PROBLEMS | 2011年

关键词：

degenerate parabolic system; global existence; blow-up; POROUS-MEDIA EQUATION; BLOW-UP; HEAT-EQUATIONS; SIMILARITY SOLUTIONS; CRITICAL EXPONENTS; GLOBAL EXISTENCE; DIFFUSION SYSTEM; THEOREMS;

D O I：

10.1186/1687-2770-2011-15

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the critical parameter equations for a degenerate parabolic system coupled via nonlinear boundary flux. By constructing the self-similar supersolution and subsolution, we obtain the critical global existence parameter equation. The critical Fujita type is conjectured with the aid of some new results. Mathematics Subject Classification (2000). 35K55; 35K57.

引用

页数：13

共 20 条

[1] Liouville theorems and blow up behaviour in semilinear reaction diffusion systems [J].

Andreucci, D ;

Herrero, MA ;

Velazquez, JJL .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1997, 14 (01) :1-53

[2]

BENILAN P, 1991, REV UNION MAT ARGENT, V37, P10

[3]

CORTAZAR C, 1991, EUR J APPL MATH, V2, P159

[4] CRITICAL BLOWUP AND GLOBAL EXISTENCE NUMBERS FOR A WEAKLY COUPLED SYSTEM OF REACTION-DIFFUSION EQUATIONS [J].

ESCOBEDO, M ;

LEVINE, HA .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1995, 129 (01) :47-100

[5]

Fujita H., 1966, J. Fac. Sci. Univ. Tokyo Sec. 1A Math, V16, P105

[6]

Galaktionov V. A., 1980, Soviet Physics - Doklady, V25, P458

[7] BLOW-UP FOR QUASI-LINEAR HEAT-EQUATIONS WITH CRITICAL FUJITAS EXPONENTS [J].

GALAKTIONOV, VA .

PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1994, 124 :517-525

[8]

GALAKTIONOV VA, 1996, ISR J MATH, V94, P1250

[9] ON A CLASS OF SIMILARITY SOLUTIONS OF THE POROUS-MEDIA EQUATION .3. [J].

GILDING, BH .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 77 (02) :381-402

[10] CLASS OF SIMILARITY SOLUTIONS OF POROUS-MEDIA EQUATION [J].

GILDING, BH ;

PELETIER, LA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 55 (02) :351-364

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