Zobrazeno 1 - 10
of 142
pro vyhledávání: '"Tesfahun, Achenef"'
Autor:
Esfahani, Amin, Tesfahun, Achenef
This paper investigates the nonlinear Schr\"{o}dinger equation with a singular convolution potential. It demonstrates the local well-posedness of this equation in a modified Sobolev space linked to the energy. Additionally, we derive conditions under
Externí odkaz:
http://arxiv.org/abs/2404.03568
Autor:
Esfahani, Amin, Tesfahun, Achenef
Studied in this paper is the sixth-order Boussinesq equation. We extend the local well-posedness theory for this equation with quadratic and cubic nonlinearities to the high dimensional case. In spite of having the ``bad'' fourth term $\Delta u$ in t
Externí odkaz:
http://arxiv.org/abs/2302.00888
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2024 540(2)
Publikováno v:
J. Math. Anal. and Appl., 126001 (2022)
Persistence of spatial analyticity is studied for solution of the beam equation $ u_{tt} + \left(m+\Delta^2\right) u + |u|^{p-1}u = 0$ on $\mathbb R^n \times \mathbb R$. In particular, for a class of analytic initial data with a uniform radius of ana
Externí odkaz:
http://arxiv.org/abs/2203.08585
We show that the uniform radius of spatial analyticity $\sigma(t)$ of solutions at time $t$ to the fifth order KdV-BBM equation cannot decay faster than $1/ \sqrt{t}$ for large $t$, given initial data that is analytic with fixed radius $\sigma_0$. Th
Externí odkaz:
http://arxiv.org/abs/2203.08589
Autor:
Tesfahun, Achenef
This paper is concerned with a two dimensional Whitham-Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. We prove that the associated Cauchy problem is well-posed for initial data of low regularity, with existence t
Externí odkaz:
http://arxiv.org/abs/2201.03628
We derive a $L^1_x (\mathbb R^d)-L^{\infty}_x ( \mathbb R^d)$ decay estimate of order $\mathcal O \left( t^{-d/2}\right)$ for the linear propagators $$\exp \left( {\pm it \sqrt{ |D|\left(1+ \beta |D|^2\right) \tanh |D | } }\right), \qquad \beta \in \
Externí odkaz:
http://arxiv.org/abs/2106.02717
We show that the uniform radius of spatial analyticity $\sigma(t)$ of solution at time $t$ for the fifth order KdV-BBM equation cannot decay faster than $1/t$ for large $t>0$, given initial data that is analytic with fixed radius $\sigma_0$. This sig
Externí odkaz:
http://arxiv.org/abs/2105.08311
We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev-Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev-Petviashvili equations. The proof of these estimates combines
Externí odkaz:
http://arxiv.org/abs/2005.08789
Autor:
Selberg, Sigmund, Tesfahun, Achenef
The Maxwell-Dirac system describes the interaction of an electron with its self-induced electromagnetic field. In space dimension $d=3$ the system is charge-critical, that is, $L^2$-critical for the spinor with respect to scaling, and local well-pose
Externí odkaz:
http://arxiv.org/abs/2002.09717