Surface perturbations of a shallow viscous fluid heated from below and the (2+1)-dimensional Burgers equation
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American Physical Society (APS)
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The (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 satifies the condition R 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. © 1992 The American Physical Society.
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Physical Review A, v. 45, n. 2, p. 838-841, 1992.
