20 citations · 25 across the 11 of their papers we have counts for
4 papers · 2 filters
Global estimates and blow-up criteria for the generalized Hunter-Saxton system
Alejandro Sarria
The generalized, two-component Hunter-Saxton system comprises several well-known models of fluid dynamics and serves as a tool for the study of one-dimensional fluid convection and…
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…
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…
Regularity of Stagnation Point-form Solutions of the Two-dimensional Euler Equations
Alejandro Sarria
A class of semi-bounded solutions of the two-dimensional incompressible Euler equations satisfying either periodic or Dirichlet boundary conditions is examined. For smooth initial…