H. Zaag

activity

20082026

most citedOn the stability of the notion of non-characteristic point and blow-up profile for semilinear wave equations

62 citations · 261 across the 45 of their papers we have counts for

collaborators

Showing 2015 · math.APShow all

3 papers · 2 filters

math.AP2015

Finite degrees of freedom for the refined blow-up profile of the semilinear heat equation

Van Tien Nguyen, Hatem Zaag

We refine the asymptotic behavior of solutions to the semilinear heat equation with Sobolev subcritical power nonlinearity which blow up in some finite time at a blow-up point wher…

math.AP2015

Existence of a Stable Blow-up profile for the nonlinear heat equation with a critical power nonlinear gradient term

Slim Tayachi, Hatem Zaag

We consider the nonlinear heat equation with a nonlinear gradient term: $\partial_{t} u = Δ u + μ ∣\nabla u ∣^{q} + ∣ u ∣^{p - 1} u, μ > 0, q = 2 p / (p + 1), p > 3, t \in (0, T), x \in R^{N} .$ We const…

math.AP2015

Construction of a stable periodic solution to a semilinear heat equation with a prescribed profile

Fethi Mahmoudi, Nejla Nouaili, Hatem Zaag

We construct a periodic solution to the semilinear heat equation with power nonlinearity, in one space dimension, which blows up in finite time $T$ only at one blow-up point. We al…