Asymptotic behavior and blow-up of solutions for the viscous diffusion equation. - Runzhang Xu (Appl. Math. Lett., 2007)

Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level. - Runzhang Xu (Math. Comput. Simul., 2009)

Some generalized results for global well-poseness for wave equations with damping and source terms. - Runzhang Xu; Jihong Shen (Math. Comput. Simul., 2009)

Ill-posedness of nonlinear parabolic equation with critical initial condition. - Runzhang Xu; Liu Yacheng (Math. Comput. Simul., 2012)

Sharp criterion of global existence for a class of nonlinear Schrödinger equations with critical exponent. - Runzhang Xu; Xuemei Wang; Yi Niu; Mingyou Zhang; Jie Liu (Math. Comput. Simul., 2015)

Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy. - Runzhang Xu; Xingchang Wang; Yanbing Yang (Appl. Math. Lett., 2018)

Finite time blowup for nonlinear Klein-Gordon equations with arbitrarily positive initial energy. - Yanbing Yang; Runzhang Xu (Appl. Math. Lett., 2018)

Energy Equality in Compressible Fluids with Physical Boundaries. - Ming Chen; Zhilei Liang; Dehua Wang; Runzhang Xu (SIAM J. Math. Anal., 2020)

Deep-learning density functional theory Hamiltonian for efficient ab initio electronic-structure calculation. - He Li; Zun Wang; Nianlong Zou; Meng Ye 014; Runzhang Xu; Xiaoxun Gong; Wenhui Duan; Yong Xu 016 (Nat. Comput. Sci., 2022)

Dataset1 for "General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian". - Xiaoxun Gong; He Li; Nianlong Zou; Runzhang Xu; Wenhui Duan; Yong Xu 016 (Zenodo, 2023)

Dataset2 for "General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian". - Xiaoxun Gong; He Li; Nianlong Zou; Runzhang Xu; Wenhui Duan; Yong Xu 016 (Zenodo, 2023)

Dataset3 for "General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian". - Xiaoxun Gong; He Li; Nianlong Zou; Runzhang Xu; Wenhui Duan; Yong Xu 016 (Zenodo, 2023)

Code for "General framework for E(3)-equivariant neural network representation of density functional theory Hamiltonian". - Xiaoxun Gong; He Li; Nianlong Zou; Runzhang Xu; Wenhui Duan; Yong Xu 016 (Zenodo, 2023)

Improved growth estimate of infinite time blowup solution for a semilinear hyperbolic equation with logarithmic nonlinearity. - Jiangbo Han; Runzhang Xu; Chao Yang 042 (Appl. Math. Lett., 2023)

Author Correction: Deep-learning density functional theory Hamiltonian for efficient ab initio electronic-structure calculation. - He Li; Zun Wang; Nianlong Zou; Meng Ye 014; Runzhang Xu; Xiaoxun Gong; Wenhui Duan; Yong Xu 016 (Nat. Comput. Sci., 2024)

Local solution becomes global solution as damping coefficient goes to infinity. - Jiangbo Han; Caijun Wang; Runzhang Xu; Chao Yang 042 (Appl. Math. Lett., 2025)

Improved growth estimate for one-dimensional sixth-order Boussinesq equation with logarithmic nonlinearity. - Zhuang Han; Runzhang Xu (Appl. Math. Lett., 2025)