SURFACE PERTURBATIONS OF A SHALLOW VISCOUS-FLUID HEATED FROM BELOW AND THE (2+1)-DIMENSIONAL BURGERS-EQUATION

Kraenkel, Roberto André [UNESP]Pereira, J. G.Manna, M. A.2014-05-202014-05-201992-01-15Physical Review A. College Pk: American Physical Soc, v. 45, n. 2, p. 838-841, 1992.1050-2947http://hdl.handle.net/11449/35397The (2 + 1)-dimensional Burgers equation is obtained as the equation of motion governing the surface perturbations of a shallow viscous fluid heated from below, provided the Rayleigh number of the system satisfies the condition R not-equal 30. A solution to this equation is explicitly exhibited and it is argued that it describes the nonlinear evolution of a nearly one-dimensional kink.838-841engSURFACE PERTURBATIONS OF A SHALLOW VISCOUS-FLUID HEATED FROM BELOW AND THE (2+1)-DIMENSIONAL BURGERS-EQUATIONArtigo10.1103/PhysRevA.45.838WOS:A1992HB01900037Acesso abertoWOSA1992HB01900037.pdf1599966126072450