3 papers
math.AP2026
Sharp non-explicit blow-up profile for perturbed nonlinear heat equations with gradient terms
Maissâ Boughrara
We consider a class of blow-up solutions for perturbed nonlinear heat equations involving gradient terms. We first prove the single point blow-up property for this equation and det…
math.AP2025
Profile of a Touch-Down solution to a nonlocal MEMS model with critical parameters
Maissâ Boughrara
This work investigates a mathematical model arising in the study of MEMS devices, described by the following parabolic equation on : $$\partial_t v = Îv + \fracλ{(…
math.AP2025
Radial blow-up standing solutions for the semilinear wave equation
Maissâ Boughrara, Maissâ Boughrara, Hatem Zaag
We consider the semilinear wave equation with a power nonlinearity in the radial case. Given , we construct a blow-up solution such that the solution near con…