19 citations · 63 across the 30 of their papers we have counts for
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math.AP2013
Large time behaviour for a nonlocal diffusion - convection equation related with the gas dynamics
Liviu I. Ignat, Ademir Pazoto
In this paper we consider a model that involves nonlocal diffusion and a classical convective term. Using a scaling argument and a new compactness argument we obtain the first term…
math.NA2013★ 19 cited
Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws
Liviu I. Ignat, Alejandro Pozo, Enrique Zuazua
In this paper we analyze the large time asymptotic behavior of the discrete solutions of numerical approximation schemes for scalar hyperbolic conservation laws. We consider three…
math.AP2013★ 1 cited
A compactness tool for the analysis of nonlocal evolution equations
Liviu I. Ignat, Tatiana I. Ignat, Denisa Stancu-Dumitru
In this paper we give a new compactness criterion in the Lebesgue spaces and use it to obtain the first term in the asymptotic behaviour of the solutions of a…