Abstract
We consider the blow-up problem for the generalized Proudman-Johnson equation parameterized by a∈R. By using the adaptive meshes, we numerically compute blow-up solutions of the generalized Proudman-Johnson equation, and discuss the relation between the parameter a and blow-up profile, blow-up time, and blow-up rate. We then examine the blow-up rate of the solution by using the asymptotic analysis, and show that the only possible blow-up rate is 1 if a>1 and a is not an integer.
