A continuous approximation for a~1D analogue of the Gol'dshtik model for separated flows of incompressible fluid
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 3, pp. 291-296

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A modification of a 1D analogue of the Gol'dshtik mathematical model for separated flows of incompressible fluid is considered. The model is a nonlinear differential equation with a boundary condition. Nonlinearity in the equation is continuous and depends on a small parameter. When this parameter tends to zero, we have a discontinuous nonlinearity. The results of the solutions are in accord with the results obtained for the 1D analogue of the Gol'dshtik model for separated flows of incompressible fluid.
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     author = {D. K. Potapov},
     title = {A continuous approximation for {a~1D} analogue of the {Gol'dshtik} model for separated flows of incompressible fluid},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {291--296},
     publisher = {mathdoc},
     volume = {14},
     number = {3},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2011_14_3_a4/}
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D. K. Potapov. A continuous approximation for a~1D analogue of the Gol'dshtik model for separated flows of incompressible fluid. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 3, pp. 291-296. http://geodesic.mathdoc.fr/item/SJVM_2011_14_3_a4/