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math.AP2013★ 1 cited
The Role of Initial Curvature in Solutions to the Generalized Inviscid Proudman-Johnson Equation
Alejandro Sarria, Ralph Saxton
In [20], we derived representation formulae for spatially periodic solutions to the generalized, inviscid Proudman-Johnson equation and studied their regularity for several classes…
math.AP2013★ 20 cited
Blow-up of Solutions to the Generalized Inviscid Proudman-Johnson Equation
Alejandro Sarria, Ralph Saxton
For arbitrary values of a parameter , finite-time blow-up of solutions to the generalized, inviscid Proudman-Johnson equation is studied via a direct approach which involve…