20 citations · 21 across the 5 of their papers we have counts for
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Some remarks on structured Keyfitz-Kranzer systems
Ralph Saxton, Katarzyna Saxton
Several applications for systems of conservation laws of the form , , , with , $r…
A sign-changing Liouville Equation
Alejandro Sarria, Ralph Saxton
We examine periodic solutions to an initial boundary value problem for a Liouville equation with sign-changing weight. A representation formula is derived both for singular and non…
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…
Global Existence of Infinite Energy Solutions for a Perfect Incompressible Fluid
Ralph Saxton, Feride Tiglay
This paper provides results on local and global existence for a class of solutions to the Euler equations for an incompressible, inviscid fluid. By considering a class of solutions…