ON THE EQUATION f'''+ff''+$\lambda(l-f'^2)=0$ WITH $\lambda\leq-\frac{1}{2}$ ARISING IN BOUNDARY LAYER THEORY

  • YANG GUANG CHONG (Department of Computation Science, Box 9007, Chengdu University of Information Technology)
  • 발행 : 2006.01.01

초록

For any fixed $\lambda\leq-\frac{1}{2}$, there exists $f(\eta){\in}C^1[0,+\infty)$ which satisfies the following nonlinear boundary value problem f'+ff'+$\lambda(l-f'^2)=0$ a.e.in $(0,+\infty)$, f(0)=0, f'(0) = 0, $f'(+\infty)=1$, which arises in boundary layer theory in fluid mechanics.

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