Self-Tuning: the Example of Zero - Journal de Physique II

Phys.

J.

II

France

(1996)

6

945-951

Critical Self-Tuning: Convection Kumar

(~)

Laboratoire

Physique (**), kcole

de

Lyon,

(Received

PACS.47.27.Te

Convection

Abstract.

We

shown

present

a

6

Sup4rieure

Normale

945

Number

Lyon,

de

46

Al16e

d'ltalie,

du

Pr.

C.

Soula,

1995, accepted

June

Toulouse,

31400

France

February1996)

20

stability transfer

and

heat

new

type

instability takes place only the example of convection

on

Prandtl

Zero

PAGE

(~)

Thual

avenue

revised

Hydrodynamic

PACS.47.20.k

is

(***),

September 1994,

2

stationary

of

1996,

France

INPT/ENSEEIHT/IMFT

(~)

Example

the

(~), S. Fauve (~ Y, Z>t)

=

with

amplitude

timescale.

viscous r

observed

mode

roll

hydrodynamic

+

(~)

5(210(t) cos(2k~x) sin(qy)

equations

ii)

and

project

on

+

these

modes

to

JOURNAL

948

get the following dynamical Tfi

lr

"

~~

r(

II

N°6

system:

I)U l~

"

PHYSIQUE

DE

°~~ la