Multiple solutions of a boundary layer problem (Q868073)

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scientific article; zbMATH DE number 5128151
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Multiple solutions of a boundary layer problem
scientific article; zbMATH DE number 5128151

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    Multiple solutions of a boundary layer problem (English)
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    19 February 2007
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    The author considers the boundary value problem \[ (|f''(\eta)|^{N-1} f''(\eta))'+ f(\eta) f''(\eta)= 0 \] subject to boundary conditions \(f(0)= -C\), \(f'(0)=\xi\) and \(f'(+\infty)= 1\). He shows that there exists a constant \(r> 0\) such that if \(0<|\xi|< r\), then the boundary value problem has at least two solutions.
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    laminar flow
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    bifurcation
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    shooting
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