The Generalized Blasius equation revisited

The main subject of this paper is the model (|f^''|^n^-^1f^'')^'+1n+1ff^''=0,f(0)=f^'(0)=0,f^'(~)=1, arising in the study of a 2D laminar boundary-layer with power-law viscosity, f=f(@h) is the non-dimensional stream function and n>0. Besides proving the existence and uniqueness results, we investigate the precise behavior of f for small and large @h. In particular, for n>1 we show that f(@h) is linear for @h>[email protected]"0>0. This means that in original (x,y) coordinates, the domain y>=a"0x^1^n^+^1,a"0=const., the velocities u=const.,v=0 and the boundary-layer is the domain y

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