Tej-Eddine Ghoul

Refined Regularity of the Blow-Up Set Linked to Refined Asymptotic Behavior for the Semilinear Heat Equation

Abstract We consider u ⁢ ( x , t )

Blowup solutions for a nonlinear heat equation involving a critical power nonlinear gradient term

{u(x,t)}

Stability of infinite time blow up for the Patlak Keller Segel system

, a solution of ∂ t ⁡ u = Δ ⁢ u + | u | p - 1 ⁢ u

Construction and stability of blowup solutions for a non-variational semilinear parabolic system

{\partial_{t}u=\Delta u+|u|^{p-1}u}

On Uniqueness for the Harmonic Map Heat Flow in Supercritical Dimensions

which blows up at some time T > 0

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

{T>0}

An extension of Dickstein’s “small lambda” theorem for finite time blowup

, where u : ℝ N × [ 0 , T ) → ℝ

Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps

{u:\mathbb{R}^{N}\times[0,T)\to\mathbb{R}}

On the stability of type II blowup for the 1-corotational harmonic heat flow in supercritical dimensions

, p > 1

Singularity formation for Burgers equation with transverse viscosity

{p>1}