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This article is cited in 32 scientific papers (total in 32 papers)
Continuous Approximations of Goldshtik's Model
D. K. Potapov Saint-Petersburg State University
Abstract:
We consider continuous approximations to the Goldshtik problem for separated flows in an incompressible fluid. An approximated problem is obtained from the initial problem by small perturbations of the spectral parameter (vorticity) and by approximating the discontinuous nonlinearity continuously in the phase variable. Under certain conditions, using a variational method, we prove the convergence of solutions of the approximating problems to the solution of the original problem.
Keywords:
continuous approximation, nonlinear elliptic differential equation, boundary-value problem, Laplace operator, discontinuous nonlinearity, separated flow.
Received: 05.02.2009
Citation:
D. K. Potapov, “Continuous Approximations of Goldshtik's Model”, Mat. Zametki, 87:2 (2010), 262–266; Math. Notes, 87:2 (2010), 244–247
Linking options:
https://www.mathnet.ru/eng/mzm8371https://doi.org/10.4213/mzm8371 https://www.mathnet.ru/eng/mzm/v87/i2/p262
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