Slim Tayachi

most citedExistence and stability of a blow-up solution with a new prescribed behavior for a heat equation with a critical nonlinear gradient term

1 citations · 1 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2019

Large time behavior of solutions to the nonlinear heat equation with absorption with highly singular antisymmetric initial values

Hattab Mouajria, Slim Tayachi, Fred B. Weissler

In this paper we study global well-posedness and long time asymptotic behavior of solutions to the nonlinear heat equation with absorption, $u_{t} - Δ u + ∣ u ∣^{α} u = 0$ , where $u=u(t,x)…

math.AP2019

Global existence and decay estimates for the heat equation with exponential nonlinearity

Mohamed Majdoub, Slim Tayachi

In this paper we consider the initial value {problem $\partial_{t} u - Δ u = f (u),$ $u (0) = u_{0} \in e x p L^{p} (R^{N}),$ } where $p > 1$ and $f : R \to R$ having an expon…

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…