Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Milena Stanislavova"'
Publikováno v:
Journal of Statistical Physics. 190
Autor:
Atanas Stefanov, Milena Stanislavova
Publikováno v:
Journal of Evolution Equations. 21:671-697
The classical Schrodinger equation with a harmonic trap potential $$V(x)=|x|^2$$ , describing the quantum harmonic oscillator, has been studied quite extensively in the last 20 years. Its ground states are bell-shaped and unique, among localized posi
We analyze the Benney model for interaction of short and long waves in resonant water wave interactions. Our particular interest is in the periodic traveling waves, which we construct and study in detail. The main results are that, for all natural va
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ad42991e764b661517bcad41a4e00bb8
Autor:
Satbir Malhi, Milena Stanislavova
Publikováno v:
Mathematische Nachrichten. 293:363-375
We consider the fractional Klein-Gordon equation in one spatial dimension, subjected to a damping coefficient, which is non-trivial and periodic, or more generally strictly positive on a periodic set. We show that the energy of the solution decays at
Autor:
A. Demirkaya, Milena Stanislavova
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 24:197-209
In this paper, we study numerically the existence and stability of some special solutions of the nonlinear beam equation: \begin{document}$u_{tt}+u_{xxxx}+u-|u|^{p-1} u = 0$\end{document} when \begin{document}$p = 3$\end{document} and \begin{document
The Barashenkov-Bogdan-Zhanlav solitons u ± for the forced NLS/Lugiato-Lefever model on the line are considered. While the instability of u + was established in the original paper, [3], the analogous question for u − was only considered heuristica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd52f74d38a356d542152ff32eaf7e2f
http://arxiv.org/abs/2004.10866
http://arxiv.org/abs/2004.10866
Autor:
Wen Feng, Milena Stanislavova
Publikováno v:
Trends in Mathematics ISBN: 9783030471736
We consider standing wave solutions of the nonlocal NLS and the nonlocal Klein–Gordon Equations. Using a variety of different techniques such as energy estimates, direct spectral calculations and index count theorems, together with the spectral pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72a780f09966df1807321211ab863135
https://doi.org/10.1007/978-3-030-47174-3_9
https://doi.org/10.1007/978-3-030-47174-3_9
We study the periodic cubic derivative nonlinear Schrodinger equation (DNLS) and the (focussing) quintic nonlinear Schrodinger equation (NLS). These are both $$L^2$$ critical dispersive models, which exhibit threshold-type behavior, when posed on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::169f9069dde008ddbe9b60309894bf8e
Autor:
Milena Stanislavova, Satbir Malhi
Publikováno v:
Mathematische Annalen. 372:1459-1479
We study time decay of the energy for the one dimensional damped Klein-Gordon equation. We give an explicit necessary and sufficient condition on the continuous damping function $$\gamma \ge 0$$ for which the energy $$\begin{aligned} E(t)=\int _{-\in
Publikováno v:
Communications on Pure & Applied Analysis. 17:1371-1385
We consider standing wave solutions of various dispersive models with non-standard form of the dispersion terms. Using index count calculations, together with the information from a variational construction, we develop sharp conditions for spectral s