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math.AP2017
Blowup solutions for a reaction-diffusion system with exponential nonlinearities
Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag
We consider the following parabolic system whose nonlinearity has no gradient structure: $$\left\{\begin{array}{ll} \partial_t u = Δu + e^{pv}, \quad & \partial_t v = μΔv + e^{qu},…
math.AP2017★ 25 cited
Construction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case
Nejla Nouaili, Hatem Zaag
We construct a solution for the Complex Ginzburg-Landau equation in some critical case, which blows up in finite time only at one blow-up point. We also give a sharp descriptio…