21 citations · 75 across the 13 of their papers we have counts for
4 papers · 2 filters
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+…