Jingchen Hu

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20132026

most citedLoss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

2 citations · 6 across the 10 of their papers we have counts for

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math.AP2026

Power Convexity of Solutions to the Complex Monge-Ampère Equation $det (u_{i j}) = 1$ in Complex Dimension Two

Hongyu Chen, Jingchen Hu, Li Sheng

In this paper, we establish the power convexity of solutions to the complex Monge-Ampère equation $det (u_{i j}) = 1$ in a convex set in the complex 2 dimensional Euclidean…

math.AP2026

Convexity of the Potential Function of the Einstein-Kähler Metric on a Convex Domain

Jingchen Hu, Li Sheng

Suppose that u is the potential function of a complete Kähler-Einstein metric on a bounded strictly convex domain in $C^{n}$ . We prove that u itself is strictly convex.

math.AP2022

The Preservation of Convexity by Geodesics in the Space of Kähler Potentials on Complex Affine Manifolds

Jingchen Hu

On a compact complex affine manifold with a constant coefficient Kähler metric $ω_{0}$ , we introduce a concept: $(S, ω_{0})$ -convexity and show that $(S, ω_{0})$ -convexity is preserved by…

math.AP2021

Loss of Regularity of Solutions to Shock Reflection Problems by a Non-symmetric Convex Wedge with Potential Flow Equations

Jingchen Hu

In this paper, we study the problem of shock reflection by a wedge, with the potential flow equation, which is a simplification of the Euler System. In the work of M. Feldman and G…

math.AP2018★ 2 cited

An Obstacle for Higher Regularity of Geodesics in the Space of Kähler Potentials

Jingchen Hu

In this paper we address the following question regarding the regularity of geodesics in the space of Kähler potentials. Given a geodesic which is highly regular, and has smooth bo…

math.AP2018★ 1 cited

Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials

Xiuxiong Chen, Mikhail Feldman, Jingchen Hu

We show that, given $k > 4$ , $0 < J < min {\frac{1}{4}, \frac{k - 4}{4}}$ , any point in space of non-degenerate smooth Kähler potentials has a small neighborhood with respect to $C^{k}$ norm…

math.AP2017★ 2 cited

Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

Gui-Qiang Chen, Mikhail Feldman, Jingchen Hu +1

We are concerned with the suitability of the main models of compressible fluid dynamics for the Lighthill problem for shock diffraction by a convex corned wedge, by studying the re…

Power Convexity of Solutions to the Complex Monge-Ampère Equation det(uij​​)=1 in Complex Dimension Two

Convexity of the Potential Function of the Einstein-Kähler Metric on a Convex Domain

The Preservation of Convexity by Geodesics in the Space of Kähler Potentials on Complex Affine Manifolds

Loss of Regularity of Solutions to Shock Reflection Problems by a Non-symmetric Convex Wedge with Potential Flow Equations

An Obstacle for Higher Regularity of Geodesics in the Space of Kähler Potentials

Geodesic Convexity of Small Neighborhood in the Space of Kähler Potentials

Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow

Power Convexity of Solutions to the Complex Monge-Ampère Equation $det (u_{i j}) = 1$ in Complex Dimension Two