Stochastic Porous Media Equations and Self-Organized Criticality

被引：64

作者：

Barbu, Viorel ^{[1
]}

Da Prato, Giuseppe ^{[2
]}

Roeckner, Michael ^{[3
,4
]}

机构：

[1] Acad Romana, Inst Math Octav Mayer, Iasi 700506, Romania

[2] Scuola Normale Super Pisa, I-56126 Pisa, Italy

[3] Univ Bielefeld, Fac Math, D-33501 Bielefeld, Germany

[4] Purdue Univ, Dept Math & Stat, W Lafayette, IN 47907 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2009年 / 285卷 / 03期

关键词：

DIFFUSION; SYSTEMS; CONSERVATION;

D O I：

10.1007/s00220-008-0651-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The existence and uniqueness of nonnegative strong solutions for stochastic porous media equations with noncoercive monotone diffusivity function and Wiener forcing term is proven. The finite time extinction of solutions with high probability is also proven in 1-D. The results are relevant for self-organized criticality behavior of stochastic nonlinear diffusion equations with critical states.

引用

页码：901 / 923

页数：23

共 24 条

[1]

[Anonymous], P NATL ACAD SCI US

[2] SELF-ORGANIZED CRITICALITY [J].

BAK, P ;

TANG, C ;

WIESENFELD, K .

PHYSICAL REVIEW A, 1988, 38 (01) :364-374

[3] SELF-ORGANIZATION AND ANOMALOUS DIFFUSION [J].

BANTAY, P ;

JANOSI, IM .

PHYSICA A, 1992, 185 (1-4) :11-18

[4] The two phase stochastic Stefan problem [J].

Barbu, V ;

Da Prato, G .

PROBABILITY THEORY AND RELATED FIELDS, 2002, 124 (04) :544-560

[5]

Barbu V, 1976, Nonlinear Semigroups and Differential Equations in Banach Spaces, Editura Academiei Republicii Socialiste Romania

[6]

BARBU V, ANN PROB IN PRESS

[7]

Barbu V, 2008, INDIANA U MATH J, V57, P187

[8] The stochastic obstacle problem for the harmonic oscillator with damping [J].

Barbu, Viorel ;

Da Prato, Giuseppe .

JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 235 (02) :430-448

[9] LOCAL RIGIDITY AND SELF-ORGANIZED CRITICALITY FOR AVALANCHES [J].

CAFIERO, R ;

LORETO, V ;

PIETRONERO, L ;

VESPIGNANI, A ;

ZAPPERI, S .

EUROPHYSICS LETTERS, 1995, 29 (02) :111-116

[10] SELF-ORGANIZED CRITICALITY AND SINGULAR DIFFUSION [J].

CARLSON, JM ;

CHAYES, JT ;

GRANNAN, ER ;

SWINDLE, GH .

PHYSICAL REVIEW LETTERS, 1990, 65 (20) :2547-2550

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