Flux diffusion and the porous medium equation

被引：12

作者：

Gilchrist, J ^{[1
]}

机构：

[1] Univ Grenoble 1, CNRS, Ctr Rech Tres Basses Temp, Lab Associe, F-38042 Grenoble, France

来源：

PHYSICA C | 1997年 / 291卷 / 1-2期

关键词：

flux creep; flux flow; AC susceptibility; magnetoresistance;

D O I：

10.1016/S0921-4534(97)01685-7

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

Flux-flow problems in slabs and cylinders, and flux-creep problems in slabs, simplified, reduce to the porous medium equation with possible sign changes. The equation's known self-similar solutions apply exactly or asymptotically if the boundary conditions are right. Flux-creep in cylinders corresponds to a modified porous medium equation that has different explicit solutions and different focusing solutions. (C) 1997 Elsevier Science B.V.

引用

页码：132 / 142

页数：11

共 22 条

[1]

ANGENENT SB, 1996, COMMUN PART DIFF EQ, V20, P1217

[2]

Aronson D. G., 1986, LECT NOTES MATH, P1224

[3]

Aronson D. G., 1993, European J. Appl. Math., V4, P65

[4]

Barenblatt G.I., 1979, Similarity, self-similarity and intermediate asymptotics

[5]

BARENBLATT G. I., 1952, Akad. Nauk SSSR. Prikl. Mat. Meh., V16, P67

[6]

Barenblatt G.I., 1979, SIMILARITY SELF SIMI

[7] Slow magnetic flux diffusion in type-II superconductors [J].

Bass, F ;

Shapiro, BY ;

Shvartser, M .

SOLID STATE COMMUNICATIONS, 1997, 103 (07) :399-401

[8] MAGNETIZATION OF HIGH-FIELD SUPERCONDUCTORS [J].

BEAN, CP .

REVIEWS OF MODERN PHYSICS, 1964, 36 (1P1) :31-+

[9] SPACE-TIME IMAGE OF THE MAGNETIC-FLUX PENETRATING INTO TYPE-II SUPERCONDUCTORS IN AN APPLIED OSCILLATING MAGNETIC-FIELD [J].

BRYKSIN, VV ;

DOROGOVTSEV, SN .

PHYSICA C, 1993, 215 (1-2) :173-180

[10]

BRYKSIN VV, 1993, SOV PHYS JETP, V77, P791

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