Abstract:
The Gol'dshtik model for separated flows of incompressible fluid is considered. A solution of the given two-dimensional problem in mathematical physics for a finite domain is found with the finite element method. Estimations of the differential operator are obtained. A result on the number of solutions of the Gol'dshtik problem is obtained using the variational method.
Key words:Gol'dshtik problem, nonlinear differential equation, discontinuous nonlinearity, finite element method, variational method, estimations of differential operator, number of solutions.
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