53 citations · 138 across the 12 of their papers we have counts for
12 papers
An improvement of regularity result for pseudo Calabi flow
Jingrui Cheng, Junhao Tian
In this paper, we observe that if the initial data of pseudo Calabi flow has volume form close to a smooth one, then the flow is immediately smooth for . As an applicati…
Interior estimate for small perturbations to the complex Monge-Ampere equation
Jingrui Cheng, Yulun Xu
Let be a bounded, , strictly plurisubharmonic function defined on . Then has a neighborhood in with the following proper…
Regularization Of -subharmonic Functions And HÖlder Continuity
Jingrui Cheng, Yulun Xu
We use sup-convolution to find upper approximations of a bounded -subharmonic function on a compact Kähler manifold with nonnegative holomorphic bisectional curvature. As an app…
The estimates for parabolic complex Monge-Ampere and Hessian equations
Xiuxiong Chen, Jingrui Cheng
In this paper, we consider a version of parabolic complex Monge-Ampere equations, and use a PDE approach similar to Phong et al to establish and Hölder estimates. We a…
Gradient estimate for complex Monge-Ampere equation with continuous right hand side
Xiuxiong Chen, Jingrui Cheng
In this note, we consider complex Monge-Ampere equation posed on a compact Kähler manifold. We show how to get () and estimate for the gradient of the s…
On the constant scalar curvature Kähler metrics, general automorphism group
Xiuxiong Chen, Jingrui Cheng
In this paper, we derive estimates for scalar curvature type equations with more singular right hand side. As an application, we prove Donaldson's conjecture on the equivalence bet…
On the constant scalar curvature Kähler metrics, existence results
Xiuxiong Chen, Jingrui Cheng
In this paper, we generalize our apriori estimates on cscK(constant scalar curvature Kähler) metric equation to more general scalar curvature type equations (e.g., twisted cscK met…
On the constant scalar curvature Kähler metrics, apriori estimates
Xiuxiong Chen, Jingrui Cheng
In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in term…
A rigorous treatment of moist convection in a single column
Bin Cheng, Jingrui Cheng, Michael Cullen +2
We study a single column model of moist convection in the atmosphere. We state the conditions for it to represent a stable steady state. We then evolve the column by subjecting it…
Semi-geostrophic System with Variable Coriolis parameter
Jingrui Cheng, Michael Cullen, Mikhail Feldman
We prove short time existence and uniqueness of smooth solutions ( in with ) to the 2-D semi-geostrophic system and semi-geostrophic shallow water system with…
Long time existence of smooth solutions to semigeostrophic equations on a torus
Jingrui Cheng
In this work,we show the long time existence of smooth solu- tions to semigeostrophic equations on a torus when the initial dual density is bounded between two positive constants a…
Semigeostrophic equations in physical space with free upper boundary
Jingrui Cheng
We define various notions of Lagrangian solution in physical space for 3-d incompressible geostrophic system with free upper boudary under different conditions for initial data,the…