3 papers
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.AP2020
Single point blow-up and final profile 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 work (Abdelhedi-Zaa…
math.AP2019
Construction of a blow-up solution 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. We prove the existence of a blow-up…