6 citations · 12 across the 15 of their papers we have counts for
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math.AP2016★ 1 cited
Existence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term
Slim Tayachi, Hatem Zaag
We consider the semilinear heat equation, to which we add a nonlinear gradient term, with a critical power. We construct a solution which blows up in finite time. We also give a sh…
math.AP2016★ 6 cited
Local well-posedness and global existence for the biharmonic heat equation with exponential nonlinearity
Mohamed Majdoub, Sarah Otsmane, Slim Tayachi
In this paper we prove local well-posedness in Orlicz spaces for the biharmonic heat equation with $f(u)\sim \mbox{e}^{u^2}$ for larg…
math.AP2016
Existence and regularity of source-type self-similar solutions for stable thin-film equations
Mohamed Majdoub, Slim Tayachi
We investigate the existence and the boundary regularity of source-type self-similar solutions to the thin-film equation $ t>0,\; z\in \mathbb…