Hailiang Liu

发表

Numerical study of non-uniqueness for 2D compressible isentropic Euler equations

Alberto Bressan, Yi Jiang, Hailiang Liu, 2020, J. Comput. Phys..

A Hybrid Model Consisting of Supervised and Unsupervised Learning for Landslide Susceptibility Mapping

Hailiang Liu, Zhu Liang, Changming Wang, 2021, Remote. Sens..

Positivity-preserving third order DG schemes for Poisson--Nernst--Planck equations pdf

Hui Yu, Peimeng Yin, Hailiang Liu, 2021, J. Comput. Phys..

Unconditionally energy stable discontinuous Galerkin schemes for the Cahn-Hilliard equation

Peimeng Yin, Hailiang Liu, Hailiang Liu, 2019, J. Comput. Appl. Math..

Global dynamics of the Euler-alignment system with weakly singular kernel

Manas Bhatnagar, Hailiang Liu, Hailiang Liu, 2021, 2110.10314.

A global convergence theory for deep ReLU implicit networks via over-parameterization pdf

Hridesh Rajan, Hongyang Gao, Jia Liu, 2021, ArXiv.

Method of predicting nonlinear pilot-induced oscillations due to flight control degradation based on digital virtual flight

Lixin Wang, Ting Yue, Hailiang Liu, 2021 .

Critical thresholds in the Euler-Poisson-alignment system

Changhui Tan, Manas Bhatnagar, Hailiang Liu, 2021, Journal of Differential Equations.

On the invariant region for compressible Euler equations with a general equation of state

Ferdinand Thein, Hailiang Liu, Hailiang Liu, 2022, Communications on Pure & Applied Analysis.

PATTERN FORMATION, WAVE PROPAGATION AND STABILITY IN CONSERVATION LAWS WITH SLOW DIFFUSION AND FAST REACTION

Haitao Fan, Hailiang Liu, Hailiang Liu, 2004 .

Rotation prevents finite-time breakdown

Eitan Tadmor, Hailiang Liu, 2004 .

A conservative discontinuous Galerkin method for the Degasperis-Procesi equation

Nianyu Yi, Yunqing Huang, Hailiang Liu, 2014 .

On Invariant-Preserving Finite Difference Schemes for the Camassa-Holm Equation and the Two-Component Camassa-Holm System

Terrance Pendleton, Hailiang Liu, Hailiang Liu, 2016 .

Cost-optimal design of a simplified highly renewable Chinese electricity network

Gorm Bruun Andresen, Martin Greiner, Hailiang Liu, 2018, 1802.01623.

THE DIRECT DISCONTINUOUS GALERKIN (DDG) METHOD FOR DIFFUSION WITH INTERFACE CORRECTIONS

Jue Yan, Hailiang Liu, Hailiang Liu, 2010 .

Superconvergence of the direct discontinuous Galerkin method for convection‐diffusion equations

Waixiang Cao, Hailiang Liu, Zhimin Zhang, 2017 .

Critical Thresholds in Euler-Poisson Equations

Shlomo Engelberg, Eitan Tadmor, Hailiang Liu, 2001, math/0112014.

Concentration and cavitation in the vanishing pressure limit of solutions to the Euler equations for nonisentropic fluids

Hailiang Liu, Gui-Qiang G. Chen, Gui-Qiang Chen, 2004 .

Global orientation dynamics for liquid crystalline polymers

Hailiang Liu, Hailiang Liu, 2007 .

A direct discontinuous Galerkin method for the Degasperis-Procesi equation

Nianyu Yi, Yunqing Huang, Hailiang Liu, 2014 .

The Cauchy-Dirichlet problem for the FENE dumbbell model of polymeric fluids

Jaemin Shin, Hailiang Liu, Hailiang Liu, 2010, 1010.5807.

Error estimates for Gaussian beam methods applied to symmetric strictly hyperbolic systems

Hailiang Liu, Hailiang Liu, Maksym Pryporov, 2017 .

On traveling wave solutions of the θ-equation of dispersive type

Tae Gab Ha, Hailiang Liu, Hailiang Liu, 2015 .

Computing multivalued physical observables for the semiclassical limit of the Schrödinger equation

Stanley Osher, Yen-Hsi Richard Tsai, Shi Jin, 2005 .

Precise and non-invasive circulating tumor cell isolation based on optical force using homologous erythrocyte binding.

Wei Liu, Hailiang Liu, Hailiang Liu, 2019, Lab on a chip.

A diffusive subcharacteristic condition for hyperbolic systems with diffusive relaxation

Shi Jin, Hailiang Liu, Hailiang Liu, 2000 .

A high-resolution hydro power time-series model for energy systems analysis: Validated with Chinese hydro reservoirs

Tom Brown, G. B. Andresen, Martin Greiner, 2019, MethodsX.

STABILITY OF A TRAFFIC FLOW MODEL WITH NONCONVEX RELAXATION

Tong Li, Hailiang Liu, Hailiang Liu, 2005 .

Critical thresholds in a relaxation system with resonance of characteristic speeds

Tong Li, Hailiang Liu, 2009 .

Axial Symmetry and Classification of Stationary Solutions of Doi-Onsager Equation on the Sphere with Maier-Saupe Potential

Pingwen Zhang, Hui Zhang, Hailiang Liu, 2005, 1909.13288.

Thresholds for shock formation in traffic flow models with Arrhenius look-ahead dynamics

Yongki Lee, Hailiang Liu, 2013 .

The role of hydro power, storage and transmission in the decarbonization of the Chinese power system

Tom Brown, Gorm Bruun Andresen, Martin Greiner, 2018, Applied Energy.

GLOBAL WELL-POSEDNESS FOR THE MICROSCOPIC FENE MODEL WITH A SHARP BOUNDARY CONDITION

Jaemin Shin, Hailiang Liu, Hailiang Liu, 2009, 0905.1142.

Computing multi-valued physical observables for the high frequency limit of symmetric hyperbolic systems

Stanley Osher, Richard Tsai, Shi Jin, 2005 .

Spectral Dynamics of the Velocity Gradient Field¶in Restricted Flows

Eitan Tadmor, Hailiang Liu, E. Tadmor, 2002 .

An Invariant-region-preserving (IRP) Limiter to DG Methods for Compressible Euler Equations

Yi Jiang, Hailiang Liu, 2016 .

Diffusion limit of a hyperbolic system with relaxation

Shi Jin, Hailiang Liu, Hailiang Liu, 1998 .

Global regularity, and wave breaking phenomena in a class of nonlocal dispersive equations

Zhaoyang Yin, Hailiang Liu, Hailiang Liu, 2009, 0911.3404.

Wave Breaking in a Class of Nonlocal Dispersive Wave Equations

Hailiang Liu, Hailiang Liu, 2006 .

Asymptotic stability of shock profiles for nonconvex convection-diffusion equation☆

Hailiang Liu, 1997 .

Critical thresholds in a relaxation model for traffic flows

Tong Li, Hailiang Liu, Hailiang Liu, 2008 .

On accuracy of the mass-preserving DG method to multi-dimensional Schrödinger equations

Nianyu Yi, Yunqing Huang, Hailiang Liu, 2019 .

Error estimates of the Bloch band-based Gaussian beam superposition for the Schrodinger equation

Hailiang Liu, Hailiang Liu, Maksym Pryporov, 2014, 1401.6221.

Long‐time diffusive behavior of solutions to a hyperbolic relaxation system

Roberto Natalini, Hailiang Liu, Hailiang Liu, 2001 .

Critical thresholds in hyperbolic relaxation systems

Tong Li, Hailiang Liu, Hailiang Liu, 2009 .

Sobolev and Max Norm Error Estimates for Gaussian Beam Superpositions

Olof Runborg, Nicolay M. Tanushev, Hailiang Liu, 2015, 1510.09120.

An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

Yunqing Huang, Peimeng Yin, Hailiang Liu, 2014 .