1 citations · 1 across the 1 of their papers we have counts for
3 papers
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…
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…
math.AP2012
Asymptotics for nonlocal evolution problems by scaling arguments
Tatiana I. Ignat
In this paper we consider a nonlocal evolution problem and obtain by a scaling method the first term in the asymptotic behavior of the solutions. The method employed treats in diff…