Papers that have been submitted and awaiting publication.
Ghoul T., S.Ibrahim, V.T.Nguyen. "Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps" (https ://arxiv.org/abs/1704.05685). [To appear in Journal of Differential Equations]
Collot C., Ghoul T., Masmoudi N. "Singularity formation for Burgers equation with transversal viscosity". (https ://arxiv.org/abs/1803.07826). Submitted
Ghoul T.,S.Ibrahim, S. Shen. "Long time behaviour of a two fluids model". Submitted.
Ghoul T., V. T. Nguyen, H. Zaag. "Construction of Type I blow-up solutions for a higher order semi-linear parabolic equation". (https://arxiv.org/abs/1805.06616) Submitted
Ghoul, Tej-Eddine, and Nader Masmoudi. "Stability of infinite time blow up for the Patlak Keller Segel system." (arxiv: https://arxiv.org/pdf/1610.00456.pdf) [To Appear in Communication of Pure and Applied Mathematics.]
Ghoul T., S.Ibrahim, V.T.Nguyen. "On the stability of type II blowup for the 1-corotational energy supercritical harmonic heat flow". (https://arxiv.org/abs/1611.08877) [To Appear in Analysis and PDE]
Ghoul, Tej-eddine. "Stable type II blowup for the 7 dimensional 1-corotational energy supercritical harmonic map heat flow." Submitted
Ghoul, Tej-eddine, Van Tien Nguyen, and Hatem Zaag. "Construction and stability of blowup solutions for a non-variational semilinear parabolic system". (https://arxiv.org/abs/1610.09883) Submitted [To Appear in Annales de L’institut Henri Poincare Non-lineaire.]
Ghoul, Tej-Eddine, Van Tien Nguyen, and Hatem Zaag. "Blowup solutions for a reaction-diffusion system with exponential nonlinearities." J. Differential Equations 264 (2018), no. 12, 7523–7579. 35K51 (35B40 35B44 35K57 35K91)
Ghoul, Tej-Eddine, Van Tien Nguyen, and Hatem Zaag. "Construction and stability of blow-up solutions for a semilinear heat equation involving a nonlinear gradient term." J. Differential Equations263 (2017), no. 8, 4517–4564. 35K59 (35B40 35B44 35K15 35K57)
Germain, Pierre, Tej‐Eddine Ghoul, and Hideyuki Miura. "On uniqueness for the harmonic map heat flow in supercritical dimensions." Communications on Pure and Applied Mathematics 70, no. 12 (2017): 2247-2299.
Ghoul, Tej-Eddine, Moez Khenissi, and Belkacem Said-Houari. "On the stability of the Bresse system with frictional damping." Journal of Mathematical Analysis and Applications 455, no. 2 (2017): 1870-1898.
Ghoul, Tej-Eddine, Van Tien Nguyen, and Hatem Zaag. "Refined regularity of the blow-up set linked to refined asymptotic behavior for the semilinear heat equation." Advanced Nonlinear Studies 17, no. 1 (2017): 31-54.
Ghoul, Tej-eddine. "Global existence for the nonlinear heat equation in the Fujita subcritical case with initial value having zero mean value." Journal of Mathematical Analysis and Applications 389, no. 1 (2012): 562-568.
Ghoul, Tej-eddine. "An extension of Dickstein’s “small lambda” theorem for finite time blowup." Nonlinear Analysis: Theory, Methods & Applications 74, no. 17 (2011): 6105-6115.