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pro vyhledávání: '"Kevrekidis, Panayotis G"'
The existence of breather type solutions, i.e., periodic in time, exponentially localized in space solutions, is a very unusual feature for continuum, nonlinear wave type equations. Following an earlier work [Comm. Math. Phys. {\bf 302}, 815-841 (201
Externí odkaz:
http://arxiv.org/abs/2407.10766
Autor:
Bountis, Tassos, Cantisán, Julia, Cuevas-Maraver, Jesús, Macías-Díaz, J. E., Kevrekidis, Panayotis G.
In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional differential equations describing physical systems, whose time evolution fo
Externí odkaz:
http://arxiv.org/abs/2406.08912
Breast cancer is one of the most challenging global health problems among women. This study investigates the intricate breast tumor microenvironment (TME) dynamics utilizing data from Mammary-specific Polyomavirus Middle T Antigen Overexpression mous
Externí odkaz:
http://arxiv.org/abs/2404.06699
Autor:
Chandramouli, Sathyanarayanan, Mistakidis, Simeon I., Katsimiga, Garyfallia C., Kevrekidis, Panayotis G.
We demonstrate the controllable generation of distinct types of dispersive shock-waves emerging in a quantum droplet bearing environment with the aid of step-like initial conditions. Dispersive regularization of the ensuing hydrodynamic singularities
Externí odkaz:
http://arxiv.org/abs/2404.02998
Publikováno v:
Chaos: An Interdisciplinary Journal of Nonlinear Science 34, 053134 (2024)
Motivated by an exact mapping between equilibrium properties of a 1-dimensional chain of quantum Ising spins in a transverse field (the transverse field Ising (TFI) model) and a 2-dimensional classical array of particles in double-well potentials (th
Externí odkaz:
http://arxiv.org/abs/2401.15020
Non-Hermitian lattices with non-reciprocal couplings under open boundary conditions are known to possess linear modes exponentially localized on one edge of the chain. This phenomenon, dubbed non-Hermitian skin effect, induces all input waves in the
Externí odkaz:
http://arxiv.org/abs/2311.09139
In the present work we explore the interaction of a one-dimensional kink-like front of the sine-Gordon equation moving in 2-dimensional spatial domains. We develop an effective equation describing the kink motion, characterizing its center position d
Externí odkaz:
http://arxiv.org/abs/2310.17926
In this study, we present a method for generating a synthetic gauge field in origami metamaterials with continuously varying geometrical parameters. By modulating the mass term in the Dirac equation linearly, we create a synthetic gauge field in the
Externí odkaz:
http://arxiv.org/abs/2307.08887