We consider a system formed by an infinite viscous liquid layer with a constant horizontal temperature gradient, and a basic nonlinear bulk velocity profile. In the limit of long-wavelength and large nondimensional surface tension, we show that hydrotherma
REFERENCES
[1]M.K.SmithandS.H.Davis,J.FluidMech.132(1983)119;132(1983)145.
[2]S.H.Davis,Ann.Rev.FluidMech.19(1987)403.
[3]T.Taniuti,Suppl.Prog.Theor.Phys.55(1974)1.
[4]Y.KuramotoandT.Tzusuki,Prog.Theor.Phys.55(1976)356.
[5]G.I.Sivashinsky,ActaAstronautica6(1979)569.
[6]Forareview,see:B.Nicolaenko,PhysicaD20(1986)109.
[7]A.Pumir,P.MannevilleandY.Pomeau,J.FluidMech.135(1983)27.
[8]G.I.SivashinskyandDM.Michelson,Prog.Theor.Phys.63(1980)2112.
[9]A.B.Ezerskyetal.,Phys.Rev.E47(1993)1126.
[10]J.M.VinceandM.Dubois,Europhys.Lett.20(1992)505.
[11]J.Burgueteetal,Europhys.Lett.23(1993)401.
[12]A.SenandS.H.Davis,J.FluidMech.121(1982)163.
[13]R.ConteandM.Musette,J.Phys.A:Math.andGen.22(1989)169.
[14]P.Manneville,inMacroscopicModellingofTurbulentFlows,ed.byU.Frisch,J.B.
Keller,G.PapanicolaouandO.Pironneau,LectureNotesinPhysics,vol.230,(Springer,Berlin,1985).
[15]S.Zalesky,PhysicaD34(1989)427andreferencestherein;F.Hayot,C.Jayaprakash
andC.Josserand,Phys.Rev.E47(1993)911.
[16]C.Roz`e,Ph.D.Thesis.Universit´edeRouen,France,(1989).
[17]M.E.Weill,M.RhaziandG.Gouesbet,J.Physique(Paris)46(1985)1501.