T. Ghoul

activity

20162026

most citedOn the stability of type II blowup for the 1-corotational energy supercritical harmonic heat flow

16 citations · 43 across the 22 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.AP2018

Construction and Stability of type I blowup solutions for non-variational semilinear parabolic systems

Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag

We consider in this note the semilinear heat system $\partial_{t} u = Δ u + f (v), \partial_{t} v = μ Δ v + g (u), μ > 0,$ where the nonlinearity has no gradient structure taki…

math.AP2018

On singularity formation for the two dimensional unsteady Prandtl system around the axis

Charles Collot, Tej-Eddine Ghoul, Slim Ibrahim +1

We consider the two dimensional unsteady Prandtl system. For a special class of outer Euler flows and solutions of the Prandtl system, the trace of the tangential derivative of the…

math.AP2018

Construction of type I blowup solutions for a higher order semilinear parabolic equation

Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag

We consider the higher-order semilinear parabolic equation $\partial_{t} u = - (- Δ)^{m} u + u ∣ u ∣^{p - 1},$ in the whole space $R^{N}$ , where $p > 1$ and $m \geq 1$ is an odd…

math.AP2018★ 7 cited

Singularity formation for Burgers equation with transverse viscosity

Charles Collot, Tej-Eddine Ghoul, Nader Masmoudi

We consider Burgers equation with transverse viscosity $\partial_{t} u + u \partial_{x} u - \partial_{y y} u = 0, (x, y) \in R^{2}, u : [0, T) \times R^{2} \to R .$ …