RENORMALIZATION-GROUP THEORY FOR 2 PROBLEMS IN LINEAR CONTINUUM-MECHANICS

被引：17

作者：

GOLDENFELD, N ^{[1
]}

OONO, Y ^{[1
]}

机构：

[1] UNIV ILLINOIS,BECKMAN INST,URBANA,IL 61801

来源：

PHYSICA A | 1991年 / 177卷 / 1-3期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0378-4371(91)90156-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the problems of: (1) the stress field in an infinite wedge when a moment is applied at the tip, and (2) the flow of an inviscid incompressible fluid past an infinite wedge. Both problems are linear, but nevertheless exhibit anomalous dimensions for wedge angles, alpha, larger than a critical value alpha-c. In (1) it is the stress field and in (2) it is the velocity potential which can have anomalous power law behaviour in distance from the tip. We use these problems as simple examples to illustrate how partial differential equations can be solved using the renormalisation group.

引用

页码：213 / 219

页数：7

共 12 条

[1] Barenblatt G, 1979, SIMILARITY SELF SIMI
[2] BARENBLATT GI, COMMUNICATION
[3] CAROTHERS SD, 1912, P ROY SOC EDINB, V23, P292
[4] QUANTUM ELECTRODYNAMICS AT SMALL DISTANCES
GELLMANN, M
LOW, FE
[J]. PHYSICAL REVIEW, 1954, 95 (05): : 1300 - 1312
[5] ANOMALOUS DIMENSIONS AND THE RENORMALIZATION-GROUP IN A NONLINEAR DIFFUSION PROCESS
GOLDENFELD, N
MARTIN, O
OONO, Y
LIU, F
[J]. PHYSICAL REVIEW LETTERS, 1990, 64 (12) : 1361 - 1364
[6] Goldenfeld N., 1989, Journal of Scientific Computing, V4, P355, DOI 10.1007/BF01060993
[7] GOLDENFELD N, IN PRESS P NATO ARW
[8] GOLDENFELD N, IN PRESS P I MATH IT
[9] Inglis C.E., 1922, T I NAV ARCHIT, V64, P253
[10] UNIFIED HYDRODYNAMIC THEORY FOR CRYSTALS, LIQUID-CRYSTALS, AND NORMAL FLUIDS
MARTIN, PC
PARODI, O
PERSHAN, PS
[J]. PHYSICAL REVIEW A-GENERAL PHYSICS, 1972, 6 (06): : 2401 - +

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