On existence and multiplicity of similarity solutions to a nonlinear differential equation arising in magnetohydrodynamic Falkner-Skan flow for decelerated flows (Q2795428)
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scientific article; zbMATH DE number 6558918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence and multiplicity of similarity solutions to a nonlinear differential equation arising in magnetohydrodynamic Falkner-Skan flow for decelerated flows |
scientific article; zbMATH DE number 6558918 |
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On existence and multiplicity of similarity solutions to a nonlinear differential equation arising in magnetohydrodynamic Falkner-Skan flow for decelerated flows (English)
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21 March 2016
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Falkner-Skan flow
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nonlinear boundary value problem
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existence theorem
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multiple solutions
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0.87468266
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0.87443554
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0.87189454
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0.8655012
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0.86280745
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0.85822743
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0.8569763
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Consider the boundary value problem NEWLINE\[NEWLINE\begin{gathered} g'''+ gg''+\beta(1- g^{\prime 2})- M^2(g'-1)=0,\\ g(0)= 0,\;g'(0)= 0,\;g'(\eta)\to 1\text{ as }\xi\to\infty.\end{gathered}\tag{\(*\)}NEWLINE\]NEWLINE The authors prove that \((*)\) ha a solution for \(\beta<-M^2\). But this solution is not necessarily unique.
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