130 citations · 550 across the 53 of their papers we have counts for
Showing 2011Show all
3 papers · 1 filter
math.AP2011★ 33 cited
Linear stability analysis for traveling waves of second order in time PDE's
Milena Stanislavova, Atanas Stefanov
We develop a general theory for linear stability of traveling waves of second order in time PDE's. More precisely, we introduce an explicitly computable index $\om^*\in (0, \infty]…
nlin.PS2011★ 45 cited
On the existence of solitary traveling waves for generalized Hertzian chains
A. Stefanov, P. G. Kevrekidis
We consider the question of existence of "bell-shaped" (i.e. non-increasing for x>0 and non-decreasing for x<0) traveling waves for the strain variable of the generalized Hertzian…
math.AP2011★ 2 cited
Local well-posedness for quadratic Schrödinger equations in : a normal form approach
Seungly Oh, Atanas Stefanov
For the Schrödinger equation $u_t+i u_{xx}=\nab^\be[u^2]$, $\be\in (0,1/2)$, we establish local well-posedness in $H^{\be-1+}$ (note that if $\be=0$, this matches, up to an endpoin…