G. K. Duong

activity

20172023

most citedConstruction of a blow-up solution for the Complex Ginzburg-Landau equation in some critical case

25 citations · 63 across the 9 of their papers we have counts for

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Showing 2023Show all

2 papers · 1 filter

math-ph2023

Cwikel-Lieb-Rozenblum type inequalities for Hardy-Schrödinger operator

Giao Ky Duong, Rupert L. Frank, Thi Minh Thao Le +2

We prove a Cwikel-Lieb-Rozenblum type inequality for the number of negative eigenvalues of the Hardy-Schrödinger operator $- Δ - (d - 2)^{2} / (4∣ x ∣^{2}) - W (x)$ on $L^{2} (R^{d})$ . The b…

math.AP2023

Flat blow-up solutions for the complex Ginzburg Landau equation

Giao Ky Duong, Nejla Nouaili, Hatem Zaag

In this paper, we consider the complex Ginzburg-Landau equation $\partial_{t} u = (1 + i β) Δ u + (1 + i δ) ∣ u ∣^{p - 1} u - α u, where β, δ, α \in R .$ The study…