Journal

• Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2024). Asymptotic stability of rarefaction wave with non-slip boundary condition for radiative Euler flows. Journal of Differential Equations. 409. 817 - 850.
• Chen, Gui-Qiang. , Kuang, Jie. , Xiang, Wei. & Zhang, Yongqian. (2024). Hypersonic Similarity for Steady Compressible Full Euler Flows Over Two-Dimensional Lipschitz Wedges. Advances in Mathematics. 451. 109782 .
• Kuang, Jie. , Xiang, Wei. & Zhang, Yongqian. (2023). Convergence rate of hypersonic similarity for steady potential flows over two-dimensional Lipschitz wedge. Calculus of Variations and Partial Differential Equations. 62.
• Bae, Myoungjean. & Xiang, Wei. (2023). Detached Shock Past a Blunt Body. Acta Applicandae Mathematicae. 188. 7 .
• Fang, Beixiang. , Xiang, Wei. & Xiao, Feng. (2023). Local well-posedness of unsteady potential flows near a space corner of right angle. Journal of Differential Equations. 347. 104 - 169.
• Fang, Beixiang. , Xiang, Wei. & Xiao, Feng. (2023). Persistence of the steady planar normal shock structure in 3-D unsteady potential flows. Journal of the London Mathematical Society. 107. 1692 - 1753.
• Cao, Gaowei. , Kan, Hui. , Xiang, Wei. & Yang, Xiaozhou. (2023). Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion. Acta Mathematicae Applicatae Sinica. 39. 17 - 27.
• Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2022). Asymptotic Stability of Shock Wave for the Outflow Problem Governed by the One-Dimensional Radiative Euler Equations. Communications in Mathematical Analysis and Applications. 1. 112 - 151.
• Lai, Ning-An. , Xiang, Wei. & Zhou, Yi. (2022). Global Instability of Multi-Dimensional Plane Shocks for Isothermal Flow. Acta Mathematica Scientia. 42. 887 - 902.
• Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2022). Global stability of rarefaction wave for the outflow problem governed by the radiative Euler equations. Indiana University Mathematics Journal. 71. 463 - 508.
• Pei, Yu. & Xiang, Wei. (2022). Global Subsonic Jet with Strong Transonic Shock over a Convex Cornered Wedge for the Two-Dimensional Steady Full Euler Equations. SIAM Journal on Mathematical Analysis. 54. 4407 - 4451.
• Chen, Gui-Qiang. , Chen, Jun. & Xiang, Wei. (2021). Stability of Attached Transonic Shocks in Steady Potential Flow past Three-Dimensional Wedges. Communications in Mathematical Physics. 387. 111 - 138.
• Huang, Feimin. , Kuang, Jie. , Wang, Dehua. & Xiang, Wei. (2021). Stability of transonic contact discontinuity for two-dimensional steady compressible Euler flows in a finitely long nozzle. Annals of PDE. 7. 1 - 96.
• Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2020). Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations. Discrete and Continuous Dynamical Systems Journal. 41. 1971 - 1999.
• Chen, Gui-Qiang. , Feldman, Mikhail. & Xiang, Wei. (2020). Convexity of Self-Similar Transonic Shocks and Free Boundaries for the Euler Equations for Potential Flow. Archive for Rational Mechanics and Analysis. 238. 47 - 124.
• Kuang, Jie. , Xiang, Wei. & Zhang, Yongqian. (2020). Hypersonic Similarity for the Two Dimensional Steady Potential Flow with Large Data. Annales de l'Institut Henri Poincare / Analyse non lineaire. 37. 1379 - 1423.
• Chen, Gui-Qiang. , Feldman, Mikhail. , Hu, Jingchen. & Xiang, Wei. (2020). Loss of Regularity of Solutions of the Lighthill Problem for Shock Diffraction for Potential Flow. SIAM Journal on Mathematical Analysis. 52. 1096 - 1114.
• Li, Mingjie. , Wang, Tian-Yi. & Xiang, Wei. (2020). Low Mach number limit of multidimensional steady flows on the airfoil problem. Calculus of Variations and Partial Differential Equations. 59. 1 - 21.
• Li, Mingjie. , Wang, Tian-Yi. & Xiang, Wei. (2020). Low Mach Number Limit of Steady Euler Flows in Multi-Dimensional Nozzles. Communications In Mathematical Sciences. 18. 1191 - 1220.
• Fang, Beixiang. , Xiang, Wei. & Xiao, Feng. (2020). Persistence of the steday normal shock structure for the unsteady potential flow. SIAM Journal on Mathematical Analysis. 52. 6033 - 6104.
• Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2020). Steady incompressible axially symmetric Réthy flows. Nonlinearity. 33(9). 4627 - 4669.
• Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2019). Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations. Annales de l'Institut Henri Poincare / Analyse non lineaire. 36. 1 - 25.
• Fan, Lili. , Ruan, Lizhi. & Xiang, Wei. (2019). Asymptotic stability of rarefaction wave for the inflow problem governed by the one-dimensional radiative Euler equations. SIAM Journal on Mathematical Analysis. 51. 595 - 625.
• Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2019). Compressible subsonic jet flows issuing from a nozzle of arbitrary cross-section. Journal of Differential Equations. 266. 5318 - 5359.
• Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2019). Incompressible Jet Flows in a de Laval Nozzle with Smooth Detachment. Archive for Rational Mechanics and Analysis. 232. 1031 - 1072.
• Huang, Feimin. , Kuang, Jie. , Wang, Dehua. & Xiang, Wei. (2019). Stability of supersonic contact discontinuity for two-dimensional steady compressible Euler flows in a finite nozzle. Journal of Differential Equations. 266. 4337 - 4376.
• Chen, Gui-Qiang. , Huang, Feimin. , Wang, Tian-Yi. & Xiang, Wei. (2019). Steady Euler flows with large vorticity and characteristic discontinuities in arbitrary infinitely long nozzles. Advances in Mathematics. 346. 946 - 1008.
• Wang, Yongfu. & Xiang, Wei. (2019). Two-phase fluids in collision of incompressible inviscid fluids effluxing from two nozzles. Journal of Differential Equations. 267. 6783 - 6830.
• Deng, Xuemei. , Wang, Tian-Yi. & Xiang, Wei. (2018). Three-Dimensional Full Euler Flows with Nontrivial Swirl in Axisymmetric Nozzles. SIAM Journal on Mathematical Analysis. 50. 2740 - 2772.
• Qu, Aifang. & Xiang, Wei. (2018). Three-Dimensional Steady Supersonic Euler Flow Past a Concave Cornered Wedge with Lower Pressure at the Downstream. Archive for Rational Mechanics and Analysis. 228. 431 - 476.
• Xiang, Wei. , Zhang, Yongqian. & Zhao, Qin. (2018). Two-dimensional steady supersonic exothermically reacting Euler flows with strong contact discontinuity over a Lipschitz wall. Interfaces and Free Boundaries. 20. 437 - 481.
• Cao, Gaowei. , Xiang, Wei. & Yang, Xiaozhou. (2017). Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data. Journal of Differential Equations. 263. 1055 - 1078.
• Cheng, Jianfeng. , Du, Lili. & Xiang, Wei. (2017). Incompressible Réthy Flows in Two Dimensions. SIAM Journal on Mathematical Analysis. 49. 3427 - 3475.
• Chen, Gui-Qiang. , Huang, Feimin. , Wang, Tian-Yi. & Xiang, Wei. (2016). Incompressible limit of solutions of multidimensional steady compressible Euler equations. Zeitschrift fur Angewandte Mathematik und Physik. 67.
• Fang, Beixiang. & Xiang, Wei. (2016). The uniqueness of transonic shocks in supersonic flow past a 2-D wedge. Journal of Mathematical Analysis and Applications. 437. 194 - 213.
• Chen, Gui-Qiang. , Deng, Xuemei. & Xiang, Wei. (2014). Shock diffraction by convex cornered wedges for the Nonlinear Wave Equation. Archive for Rational Mechanics and Analysis. 211. 61 - 112.
• Chen, Gui-Qiang. , Xiang, Wei. & Zhang, Yongqian. (2013). Weakly nonlinear geometric optics for hyperbolic systems of conservation laws. Comm. Partial Differential Equations. 38. 1936 - 1970.
• Chen, Gui-Qiang. , Deng, Xuemei. & Xiang, Wei. (2012). Global steady subsonic flows through infinitely long nozzles for the full Euler equations. SIAM J. Math. Anal. 44. 2888 - 2919.
• Deng, Xuemei. & Xiang, Wei. (2011). Global solutions of shock reflection by wedges for the nonlinear wave equation. Chin. Ann. Math. Ser. B. 32. 643 - 668.