Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Ademir Pastor"'
Autor:
Ademir Pastor
Publikováno v:
Electronic Journal of Differential Equations, Vol 2010, Iss 07,, Pp 1-19 (2010)
This article addresses orbital stability of periodic travelling-wave solutions for coupled nonlinear Schrodinger equations. We prove the existence of smooth curves of periodic travelling-wave solutions depending on the dnoidal-type functions. Orbital
Externí odkaz:
https://doaj.org/article/a318f30a69d24029bb1bdceccb86e226
Autor:
Alexander Muñoz, Ademir Pastor
Publikováno v:
Mathematische Annalen. 386:207-246
In the first part of this work we study the local well-posedness of dispersive equations in the weighted spaces $H^s(\mathbb{R})\cap L^2(|x|^{2b}dx)$. We then apply our results for several dispersive models such as the Hirota-Satsuma system, the OST
Publikováno v:
Monatshefte für Mathematik. 198:1-29
We consider the inhomogeneous biharmonic nonlinear Schr\"odinger (IBNLS) equation in $\mathbb{R}^N$, $$i \partial_t u +\Delta^2 u -|x|^{-b} |u|^{2\sigma}u = 0,$$ where $\sigma>0$ and $b>0$. We first study the local well-posedness in $\dot H^{s_c}\cap
Publikováno v:
Nonlinearity. 34:5213-5233
We consider a model that describes electromigration in nanoconductors known as surface electromigration (SEM) equation. Our purpose here is to establish local well-posedness for the associated initial value problem in Sobolev spaces from two differen
Autor:
Andressa Gomes, Ademir Pastor
Publikováno v:
Journal of Evolution Equations. 21:2167-2193
In this work we consider the initial-value problem associated with a coupled system of generalized Korteweg-de Vries equations. We present a relationship between the best constant for a Gagliardo-Nirenberg type inequality and a criterion for the exis
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38:281-300
The main purpose here is the study of dispersive blow-up for solutions of the Zakharov-Kuznetsov equation. Dispersive blow-up refers to point singularities due to the focusing of short or long waves. We will construct initial data such that solutions
Autor:
Norman Noguera, Ademir Pastor
Publikováno v:
Calculus of Variations and Partial Differential Equations. 61
Autor:
Norman Noguera, Ademir Pastor
Publikováno v:
Dynamics of Partial Differential Equations. 17:1-17
Autor:
Ademir Pastor, Norman Noguera
Publikováno v:
Partial Differential Equations and Applications. 2
In this paper we study the scattering of non-radial solutions in the energy space to coupled system of nonlinear Schrodinger equations with quadratic-type growth interactions in dimension five without the mass-resonance condition. Our approach is bas
Autor:
Carlos M. Guzmán, Ademir Pastor
We consider the inhomogeneous biharmonic nonlinear Schr\"odinger equation $$ i u_t +\Delta^2 u+\lambda|x|^{-b}|u|^\alpha u = 0, $$ where $\lambda=\pm 1$ and $\alpha$, $b>0$. In the subctritical case, we improve the global well-posedness result obtain
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b1b497dd071e8ddd34fa877d14d8f169
http://arxiv.org/abs/2105.01509
http://arxiv.org/abs/2105.01509