TY - JOUR
T1 - The role of periodic solutions in the Falkner-Skan problem for λ > 0
AU - Botta, E.F.T.
AU - Hut, F.J.
AU - Veldman, A.E.P.
N1 - Relation: http://www.rug.nl/informatica/organisatie/overorganisatie/iwi
Rights: University of Groningen. Research Institute for Mathematics and Computing Science (IWI)
PY - 1986
Y1 - 1986
N2 - 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.
AB - 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.
M3 - Article
SN - 0022-0833
VL - 20
SP - 81
EP - 93
JO - Journal of Engineering Mathematics
JF - Journal of Engineering Mathematics
IS - 1
ER -