Linear aspects of the Faraday instability

被引：0

作者：

Müller, HW ^{[1
]}

机构：

[1] Univ Saarlandes, D-66041 Saarbrucken, Germany

来源：

PERSPECTIVE LOOK AT NONLINEAR MEDIA | 1998年 / 503卷

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中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An introduction to the theoretical description of parametrically driven surface waves (Faraday waves) is presented. The focus is on the latest developments in the solution of the linear stability problem. Numerical techniques as well as analytical approaches are discussed and compared. The damping within the convective bulk is compared to dissipation in the viscous boundary layers. Depending on their relative weight, the surface waves resonate either subharmonically or harmonically with respect to the external drive.

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页码：45 / 60

页数：16

相关论文

共 27 条

[11] PATTERNS AND QUASI-PATTERNS IN THE FARADAY EXPERIMENT [J].

EDWARDS, WS ;

FAUVE, S .

JOURNAL OF FLUID MECHANICS, 1994, 278 :123-148

[12] PARAMETRIC-INSTABILITY OF A LIQUID-VAPOR INTERFACE CLOSE TO THE CRITICAL-POINT [J].

FAUVE, S ;

KUMAR, K ;

LAROCHE, C ;

BEYSENS, D ;

GARRABOS, Y .

PHYSICAL REVIEW LETTERS, 1992, 68 (21) :3160-3163

[13] NONLINEAR-WAVES - DYNAMICS AND TRANSPORT [J].

GOLLUB, JP .

PHYSICA D, 1991, 51 (1-3) :501-511

[14] Rotating spirals in a Faraday experiment [J].

Kiyashko, SV ;

Korzinov, LN ;

Rabinovich, MI ;

Tsimring, LS .

PHYSICAL REVIEW E, 1996, 54 (05) :5037-5040

[15] COMPETING PATTERNS IN THE FARADAY EXPERIMENT [J].

KUMAR, K ;

BAJAJ, KMS .

PHYSICAL REVIEW E, 1995, 52 (05) :R4606-R4609

[16] Linear theory of Faraday instability in viscous liquids [J].

Kumar, K .

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 1996, 452 (1948) :1113-1126

[17] PARAMETRIC-INSTABILITY OF THE INTERFACE BETWEEN 2 FLUIDS [J].

KUMAR, K ;

TUCKERMAN, LS .

JOURNAL OF FLUID MECHANICS, 1994, 279 :49-68

[18]

Landau L.D., 1987, Hydrodynamics

[19] SQUARE PATTERNS AND SECONDARY INSTABILITIES IN DRIVEN CAPILLARY WAVES [J].

MILNER, ST .

JOURNAL OF FLUID MECHANICS, 1991, 225 :81-100

[20] PERIODIC TRIANGULAR PATTERNS IN THE FARADAY EXPERIMENT [J].

MULLER, HW .

PHYSICAL REVIEW LETTERS, 1993, 71 (20) :3287-3290