The role of periodic solutions in the Falkner-Skan problem for λ > 0

摘要

The Falkner-Skan equation f '" + ff" + λ(1 - f'^2) = 0 is discussed for λ > 0. Two types of solutions have been pursued: those satisfying f(0) = f'(0) = 0, f'(∞) = 1 and those being periodic. In both cases, numerical evidence is given for a rich structure of multiple solutions. Branching occurs for λ = 1, 2, 3,.... All solutions can be characterized by means of a special subset of periodic solutions.