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math.AP2017★ 1 cited
Stable type II blowup for the 7 dimensional 1-corotational energy supercritical harmonic map heat flow
Tej-eddine Ghoul
We consider the energy-supercritical harmonic map heat flow from into , under an additional assumption of 1-corotational symmetry. We are interested by…
math.AP2017
Blowup solutions for a reaction-diffusion system with exponential nonlinearities
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 + e^{pv}, \quad & \partial_t v = μΔv + e^{qu},…
math.AP2017
Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps
Tej-Eddine Ghoul, Slim Ibrahim, Van Tien Nguyen
We consider the energy supercritical wave maps from into the -sphere with . Under an additional assumption of 1-corotational symmetry, th…