29 citations · 47 across the 12 of their papers we have counts for
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math.AP2012
On a nonlocal hyperbolic conservation law arising from a gradient constraint problem
Paulo Amorim
In some models involving nonlinear conservation laws, physical mechanisms exist which prevent the formation of shocks. This gives rise to conservation laws with a constraint on the…
math.AP2012
A nonlinear model describing a short wave long wave interaction in a viscoelastic medium
Paulo Amorim, João-Paulo Dias
In this paper we introduce a system coupling a nonlinear Schrödinger equation with a system of viscoelasticity, modeling the interaction between short and long waves, acting for in…
math.AP2012
The linear stability of shock waves for the nonlinear Schrödinger-Inviscid Burgers system
Paulo Amorim, Joao-Paulo Dias, Mario Figueira +1
We investigate the coupling between the nonlinear Schrödinger equation and the inviscid Burgers equation, a system which models interactions between short and long waves, for insta…