36 citations · 62 across the 13 of their papers we have counts for
4 papers · 1 filter
Traveling Waves and their Tails in Locally Resonant Granular Systems
H. Xu, P. G. Kevrekidis, A. Stefanov
In the present study, we revisit the theme of wave propagation in locally resonant granular crystal systems, also referred to as Mass-in-Mass systems. We use 3 distinct approaches…
A global regularity result for the 2D Boussinesq equations with critical dissipation
Atanas Stefanov, Jiahong Wu
This paper examines the global regularity problem on the two-dimensional incompressible Boussinesq equations with fractional dissipation, given by in the velocity equation a…
Spectral stability analysis for standing waves of a perturbed Klein-Gordon equation
Aslihan Demirkaya, Panayotis G. Kevrekidis, Milena Stanislavova +1
In the present work, we introduce a new -symmetric variant of the Klein-Gordon field theoretic problem. We identify the standing wave solutions of the proposed class…
Local well-posedness for the periodic mKdV in
Atanas Stefanov
We study the mKdV equation with periodic boundary conditions. We establish low regularity well -posedness in . The proof involves a non-linear, solution depend…