output
20132026
most citedRelativistic anisotropic hydrodynamics

105 citations

Showing 2023 · math.APShow all

6 papers · 2 filters

math.AP2023★ 1 cited

Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation

Ruobing Bai, Mohamed Majdoub, Tarek Saanouni

We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial…

math.AP2023

An inhomogeneous nonlinear parabolic equation with concave nonlinearity

Miguel Loayza, Mohamed Majdoub

We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation , , in the whole space $\mathbb{R…

math.AP2023

NLS equation with competing inhomogeneous nonlinearities: ground states, blow-up, and scattering

Tianxiang Gou, Mohamed Majdoub, Tarek Saanouni

We investigate a class of nonlinear equations of Schrödinger type with competing inhomogeneous nonlinearities in the non-radial inter-critical regime, \begin{align*} i \partial_t u…

math.AP2023★ 1 cited

Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity

Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa

In this article we investigate the asymptotic profile of solutions for the Cauchy problem of the nonlinear damped beam equation with two variable coefficients: \[ \partial_t^2 u +…

math.AP2023★ 30 cited

Exact Solutions for Nonlinear Partial Differential Equations: A Fusion of Classical Methods and Innovative Approaches

Noureddine Mhadhbi, Sameh Gana, Mazen Fawaz Alsaeedi

This article demonstrates how variation of parameters can be successfully implemented in combination with other classical techniques, such as the method of characteristics, to deri…

math.AP2023★ 2 cited

On elliptic problems with Choquard term and singular nonlinearity

Debajyoti Choudhuri, Dušan D. Repovš, Kamel Saoudi

Using variational methods, we establish the existence of infinitely many solutions to an elliptic problem driven by a Choquard term and a singular nonlinearity. We further show tha…