62 citations · 261 across the 45 of their papers we have counts for
4 papers · 1 filter
Gradient profile for the reconnection of vortex lines with the boundary in type-II superconductors
Yi C. Huang, Hatem Zaag
In a recent work, Duong, Ghoul and Zaag determined the gradient profile for blowup solutions of standard semilinear heat equation with power nonlinearities in the (supposed to be)…
Modulation theory for the flat blowup solutions of nonlinear heat equation
Giao Ky Duong, Nejla Nouaili, Hatem Zaag
In this paper, we revisit the proof of the existence of a solution to the semilinear heat equation in one space dimension with a at blowup profile, already proved by Bricmont and K…
On degenerate blow-up profiles for the subcritical semilinear heat equation
Frank Merle, Hatem Zaag
We consider the semilinear heat equation with a superlinear power nonlinearity in the Sobolev subcritical range. We construct a solution which blows up in finite time only at the o…
Instabilities Appearing in Cosmological Effective Field theories: When and How?
Jean-Pierre Eckmann, Farbod Hassani, Hatem Zaag
Nonlinear partial differential equations appear in many domains of physics, and we study here a typical equation which one finds in effective field theories (EFT) originated from c…