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20162022
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

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math.AP2021

Refined blow-up asymptotics for a perturbed nonlinear heat equation with a gradient and a non-local term

Bouthaina Abdelhedi, Hatem Zaag

We consider in this paper a perturbation of the standard semilinear heat equation by a term involving the space derivative and a non-local term. In some earlier works [1, 2], we co…

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…