31 citations · 83 across the 12 of their papers we have counts for
13 papers
A Decomposition-Based Data-Driven Branch-and-Bound Approach for Black-Box Global Optimization
Damilola Fasiku, Wentao Tang
Many scientific and engineering applications require the global optimization of expensive black-box functions. In high-dimensional settings, however, achieving computational scalab…
Finite time singularities in the Landau equation with very hard potentials
Jacob Bedrossian, Jiajie Chen, Maria Pia Gualdani +3
We consider the inhomogeneous Landau equation with and construct smooth, strictly positive initial data that develop a finite time singularity. The -norm o…
Conditional Liouville theorems for the Navier-Stokes equations
Matei P. Coiculescu, Jincheng Yang
We present a novel approach to the Liouville problem for the stationary Navier-Stokes equations. As an application of our method, we prove conditional Liouville theorems with assum…
Energy dissipation near the outflow boundary in the vanishing viscosity limit
Jincheng Yang, Vincent R. Martinez, Anna L. Mazzucato +1
We consider the incompressible Navier-Stokes and Euler equations in a bounded domain with non-characteristic boundary condition, and study the energy dissipation near the outflow b…
Quantitative convergence guarantees for the mean-field dispersion process
Fei Cao, Jincheng Yang
We study the discrete Fokker-Planck equation associated with the mean-field dynamics of a particle system called the dispersion process. For different regimes of the average number…
Vorticity interior trace estimates and higher derivative estimates via blow-up method
Jincheng Yang
We derive several nonlinear a priori trace estimates for the 3D incompressible Navier-Stokes equation, which extend the current picture of higher derivative estimates in the mixed…
Layer separation of the 3D incompressible Navier-Stokes equation in a bounded domain
Alexis F. Vasseur, Jincheng Yang
We provide an unconditional upper bound for the boundary layer separation of Leray-Hopf solutions in a smooth bounded domain. By layer separation, we mean the discrepancy bet…
A Short and General Duality Proof for Wasserstein Distributionally Robust Optimization
Luhao Zhang, Jincheng Yang, Rui Gao
We present a general duality result for Wasserstein distributionally robust optimization that holds for any Kantorovich transport cost, measurable loss function, and nominal probab…
Boundary Vorticity Estimates for Navier-Stokes and Application to the Inviscid Limit
Alexis F. Vasseur, Jincheng Yang
Consider the steady solution to the incompressible Euler equation in the periodic tunnel in dimension . Consider now the family…
Second derivatives estimate of suitable solutions to the 3D Navier-Stokes equations
Alexis Vasseur, Jincheng Yang
We study the second spatial derivatives of suitable weak solutions to the incompressible Navier-Stokes equations in dimension three. We show that it is locally fo…
Construction of Maximal Functions associated with Skewed Cylinders Generated by Incompressible Flows and Applications
Jincheng Yang
We construct a maximal function associated with a family of skewed cylinders. These cylinders, which are defined as tubular neighborhoods of trajectories of a mollified flow, appea…
Barotropic instability of shear flows
Zhiwu Lin, Jincheng Yang, Hao Zhu
We consider barotropic instability of shear flows for incompressible fluids with Coriolis effects. For a class of shear flows, we develop a new method to find the sharp stability c…
Linear Inviscid Damping for Couette Flow in Stratified Fluid
Jincheng Yang, Zhiwu Lin
We study the inviscid damping of Couette flow with an exponentially stratified density. The optimal decay rates of the velocity field and the density are obtained for general pertu…