130 citations · 550 across the 53 of their papers we have counts for
6 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…
Asymptotic stability of solitary waves in generalized Gross--Neveu model
Andrew Comech, Tuoc Van Phan, Atanas Stefanov
For the nonlinear Dirac equation in (1+1)D with scalar self-interaction (Gross--Neveu model), with quintic and higher order nonlinearities (and within certain range of the paramete…
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…
On the spectral stability of kinks in some PT-symmetric variants of the classical Klein-Gordon Field Theories
A. Demirkaya, M. Stanislavova, A. Stefanov +2
In the present work we consider the introduction of PT-symmetric terms in the context of classical Klein-Gordon field theories. We explore the implication of such terms on the spec…