Zobrazeno 1 - 10
of 262
pro vyhledávání: '"Zaag Hatem"'
Autor:
Boughrara, Maissâ, Zaag, Hatem
We consider the semilinear wave equation with a power nonlinearity in the radial case. Given $r_0>0$, we construct a blow-up solution such that the solution near $(r_0,T(r_0))$ converges exponentially to a soliton. Moreover, we show that $r_0$ is a n
Externí odkaz:
http://arxiv.org/abs/2410.00636
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 388-412 (2019)
We consider the higher-order semilinear parabolic equation
Externí odkaz:
https://doaj.org/article/6bfbc8a8921b4d878d2e2c59a802f356
In this paper, we construct a singular standing ring solution of the nonlinear heat in the radial case. We give rigorous proof for the existence of a ring blow-up solution in finite time. This result was predicted formally by Baruch, Fibich and Gavis
Externí odkaz:
http://arxiv.org/abs/2406.04422
Autor:
Hamza, Mohamed Ali, Zaag, Hatem
We consider the semilinear wave equation in higher dimensions with superconformal power nonlinearity. The purpose of this paper is to give a new upper bound on the blow-up rate in some space-time integral, showing a $|\log(T-t)|^q$ improvement in com
Externí odkaz:
http://arxiv.org/abs/2405.18611
Publikováno v:
Advanced Nonlinear Studies, Vol 17, Iss 1, Pp 31-54 (2017)
We consider u(x,t)${u(x,t)}$, a solution of ∂tu=Δu+|u|p-1u${\partial_{t}u=\Delta u+|u|^{p-1}u}$ which blows up at some time T>0${T>0}$, where u:ℝN×[0,T)→ℝ${u:\mathbb{R}^{N}\times[0,T)\to\mathbb{R}}$, p>1${p>1}$ and (N-2)p0${\
Externí odkaz:
https://doaj.org/article/229bd422f0964880b133251be37d5a96
We develop a hybrid scheme based on a finite difference scheme and a rescaling technique to approximate the solution of nonlinear wave equation. In order to numerically reproduce the blow-up phenomena, we propose a rule of scaling transformation, whi
Externí odkaz:
http://arxiv.org/abs/2309.05358
Autor:
Roy, Tristan, Zaag, Hatem
We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given by the solution of the associated ODE which has the same blow-up time.
Externí odkaz:
http://arxiv.org/abs/2308.12220
In this paper, we consider the complex Ginzburg-Landau equation $$ \partial_t u = (1 + i \beta) \Delta u + (1 + i \delta) |u|^{p-1}u - \alpha u, \quad \text{where } \beta, \delta, \alpha \in \mathbb{R}. $$ The study focuses on investigating the finit
Externí odkaz:
http://arxiv.org/abs/2308.02297
Autor:
Rebai, Ahmed, Boukhris, Louay, Toujani, Radhi, Gueddiche, Ahmed, Banna, Fayad Ali, Souissi, Fares, Lasram, Ahmed, Rayana, Elyes Ben, Zaag, Hatem
We propose to explore the potential of physics-informed neural networks (PINNs) in solving a class of partial differential equations (PDEs) used to model the propagation of chronic inflammatory bowel diseases, such as Crohn's disease and ulcerative c
Externí odkaz:
http://arxiv.org/abs/2302.07405
Autor:
Huang, Yi C., Zaag, Hatem
In a recent work, Duong, Ghoul and Zaag determined the gradient profile for blowup solutions of standard semilinear heat equation with power nonlinearities in the (supposed to be) generic case. Their method refines the constructive techniques introdu
Externí odkaz:
http://arxiv.org/abs/2210.14773