Equations of Nonlinear Waves in Thin Film Flows with Mass Sources and Surface Activity at the Moving Boundary
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The paper deals with the derivation of governing propagation equations of nonlinear waves in thin liquid films applying to two basic cases, namely for the perfect fluid flow with a weak mass source at the bottom and for the thin film of viscid liquid flow with a mass source and surface activity at the free moving boundary. The second case is considered on the example of a condensate film flow under the low heat transfer intensity. The conditions under which the model equation has the left-hand side of a type of the Korteweg-deVries equation with slowly evolved parameters, and perturbed right-hand side have been established for the both cases. The conditions under which the solitary wave solutions are possible have been defined too.
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1893 ◽
Vol 53
(321-325)
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pp. 394-398
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1974 ◽
Vol 88
(1-4)
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pp. 223-224
2010 ◽
Vol 2
(5)
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pp. 455-468
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2018 ◽
Vol 16
(2)
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pp. 121-130
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2010 ◽
Vol 13
(11)
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pp. 973-980
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