Bounded and unbounded patterns of the Benney equation
In: Physics of Fluids A: Fluid Dynamics, Jg. 4 (1992-06-01), S. 1102-1104
Online
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Zugriff:
The boundedness of 2‐D liquid film flows on an inclined plane in the context of the regularized Benney, uτ+λu2ux+[(μu6−νu3)ux]x +σ{u3[uxx/(1+e2ux2)3/2]x}x=0, and the Benney (e=0) equation are studied. Here u, x, τ are the rescaled film thickness, the longitudinal coordinate, and time, respectively; λ, μ, and ν are non‐negative constants determined at equilibrium; and e is the parameter related to the film aspect ratio. For a vertical plane (ν=0) a critical curve λ=λc(μ) has been found bifurcating from the point (λ,μ)=(0,1) which divides the λ‐μ space into two domains. When λ≳λc(μ) the initial data evolves into modulating traveling waves similar to the solutions of the Kuramoto–Sivashinsky equation. However, when λ
Titel: |
Bounded and unbounded patterns of the Benney equation
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Autor/in / Beteiligte Person: | Hyman, James M. ; Rosenau, Philip ; Oron, Alexander |
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Zeitschrift: | Physics of Fluids A: Fluid Dynamics, Jg. 4 (1992-06-01), S. 1102-1104 |
Veröffentlichung: | AIP Publishing, 1992 |
Medientyp: | unknown |
ISSN: | 0899-8213 (print) |
DOI: | 10.1063/1.858228 |
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