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 2 of their papers we have counts for

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math.AP2023

Asymptotic behavior and life-span estimates for the damped inhomogeneous nonlinear Schrödinger equation

Lassaad Aloui, Sirine Jbari, Slim Tayachi

We are interested in the behavior of solutions to the damped inhomogeneous nonlinear Schrödinger equation $i \partial_{t} u + Δ u + μ ∣ x ∣^{- b} ∣ u ∣^{α} u + ia u = 0$ , $μ \in C$ , $b > 0$ , $a \in…

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…