19 citations · 63 across the 30 of their papers we have counts for
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math.NA2016
A splitting method for the augmented Burgers equation
Liviu I. Ignat, Alejandro Pozo
In this paper we consider a splitting method for the augmented Burgers equation and prove that it is of first order. We also analyze the large-time behavior of the approximated sol…
math.OC2016
Null Controllability of the Kuramoto-Sivashinsky Equation on star-shaped trees
Cristian M. Cazacu, Liviu I. Ignat, Ademir F. Pazoto
In this paper we treat controllability properties for the linear Kuramoto-Sivashinsky equation on a network with two types of boundary conditions. More precisely, the equation is c…
math.AP2016
Long time behavior for a nonlocal convection diffusion equation
Liviu Ignat, Tatiana Ignat
In this paper we consider a nonlocal viscous Burgers equation and study the well-posedness and asymptotic behaviour of its solutions. We prove that under the smallness assumption o…