New results of Falkner-Skan equation arising in boundary layer theory

作者：Yang G C^*

来源：Applied Mathematics and Computation, 2008, 202(1): 406-412.

DOI：10.1016/j.amc.2008.02.003

• Falkner-Skan equation
• upper and lower bounds
• positive solutions
• singular integral equation
• nonexistence

This paper presents a new nonexistence result and upper and lower bounds of the shear stress f ''(0) to the well-known Falkner-Skan equation arising from the boundary layer problems
f'''(eta) + f(eta)f ''(eta) + lambda[1 - (f')(2)(eta)] = 0, eta is an element of (0, infinity)
subject to the boundary condition
f(0) = f'(0) = 0, f'(infinity) = 1,
and the side condition
0 < f'(eta) < 1 for eta is an element of (0, infinity).

• 出版日期2008-8
• 单位成都信息工程大学