21 citations · 75 across the 13 of their papers we have counts for
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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★ 21 cited
Construction of a stable blowup solution with a prescribed behavior for a non-scaling invariant semilinear heat equation
G. K. Duong, V. T. Nguyen, H. Zaag
We consider the semilinear heat equation \begin{eqnarray*} \partial_t u = Δu + |u|^{p-1} u \ln ^α( u^2 +2), \end{eqnarray*} in the whole space , where and $ α…
math.AP2017
Construction of type II blowup solutions for the 1-corotational energy supercritical wave maps
Tej-Eddine Ghoul, Slim Ibrahim, Van Tien Nguyen
We consider the energy supercritical wave maps from into the -sphere with . Under an additional assumption of 1-corotational symmetry, th…