62 citations · 261 across the 45 of their papers we have counts for
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math.AP2014★ 10 cited
Blow-up results for a strongly perturbed semilinear heat equation: Theoretical analysis and numerical method
Van Tien Nguyen, Hatem Zaag
We consider a blow-up solution for a strongly perturbed semilinear heat equation with Sobolev subcritical power nonlinearity. Working in the framework of similarity variables, we f…
math.AP2014★ 9 cited
Construction of a stable blow-up solution for a class of strongly perturbed semilinear heat equations
Van Tien Nguyen, Hatem Zaag
We construct a solution for a class of strongly perturbed semilinear heat equations which blows up in finite time with a prescribed blow-up profile. The construction relies on the…