A novel hybrid model for short-term wind power forecasting

An improved grey model optimized by multi-objective ant lion optimization algorithm for annual electricity consumption forecasting

Application of a novel time-delayed polynomial grey model to predict the natural gas consumption in China

Application of a novel nonlinear multivariate grey Bernoulli model to predict the tourist income of China

Potential of kernel-based nonlinear extension of Arps decline model and gradient boosting with categorical features support for predicting daily global solar radiation in humid regions

A novel kernel regularized nonhomogeneous grey model and its applications

We study the $L^2$-critical damped NLS with a Stark potential. We prove that the threshold for global existence and finite time blowup of this equation is given by $\|Q\|_2$, where $Q$ is the unique positive radial solution of $\Delta Q + |Q|^{4/d} Q = Q$ in $H^1(\mathbb{R}^d)$. Moreover, in any small neighborhood of $Q$, there exists an initial data $u_0$ above the ground state such that the solution flow admits the log-log blowup speed. This verifies the structural stability for the ``$\log$-$\log$ law'' associated to the NLS mechanism under the perturbation by a damping term and a Stark potential. The proof of our main theorem is based on the Avron-Herbst formula and the analogous result for the unperturbed damped NLS.

Damped nonlinear Schr\"odinger equation with Stark effect

In this work, we study a Lighthill-Whitham-Richard (LWR) type traffic flow model with a non-local flux. We identify a threshold condition for shock formation for traffic flow models with Arrhenius look-ahead-behind (i.e., nudging) dynamics with concave-convex flux.

Yi-sheng Hu

Papers

A novel kernel regularized nonhomogeneous grey model and its applications

Damped nonlinear Schr\"odinger equation with Stark effect

Shock formation in traffic flow models with nonlocal look ahead and behind flux