16 citations · 43 across the 22 of their papers we have counts for
7 papers · 1 filter
Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term
Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag
We consider the following exponential reaction-diffusion equation involving a nonlinear gradient term: $$\partial_t U = ΔU + α|\nabla U|^2 + e^U,\quad (x, t)\in\mathbb{R}^N\times[0…
On the stability of type II blowup for the 1-corotational energy supercritical harmonic heat flow
Tej-Eddine Ghoul, Slim Ibrahim, Van Tien Nguyen
We consider the energy supercritical harmonic heat flow from into the -sphere with . Under an additional assumption of 1-corotational sym…
Construction and stability of blowup solutions for a non-variational semilinear parabolic system
Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag
We consider the following parabolic system whose nonlinearity has no gradient structure: $$\left\{\begin{array}{ll} \partial_t u = Δu + |v|^{p-1}v, \quad & \partial_t v = μΔv + |u|…
Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation
Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag
We consider , a solution of which blows up at some time , where , and $(N-2)p < N+…
On the stability of the Bresse system with frictional damping
Tej-Eddine Ghoul, Moez Khenissi, Belkacem Said-Houari
In this paper, we consider the Bresse system with frictional damping terms and prove some optimal decay results for the -norm of the solution and its higher order derivatives.…
Stability of infinite time blow up for the Patlak Keller Segel system
Tej-Eddine Ghoul, Nader Masmoudi
We consider the parabolic-elliptic Patlak-Keller-Segel (PKS) model of chemotactic aggregation in two space dimensions which describes the aggregation of bacteria under chemo-taxis.…
On uniqueness for the Harmonic Map Heat Flow in supercritical dimensions
Pierre Germain, Tej-Eddine Ghoul, Hideyuki Miura
We examine the question of uniqueness for the equivariant reduction of the harmonic map heat flow in the energy supercritical dimension. It is shown that, generically, singular dat…