作为项目负责人获得国家自然科学青年基金和数学天元基金资助，在国内外学术刊物上发表论文10多篇。
Peng, Weimin; Zha, Dongbing Long time existence for two-dimension elastic waves. J. Differential Equations 318 (2022), 384–413. Zha, Dongbing; Peng, Weimin Remarks on nonlinear elastic waves with null conditions. ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 121, 21 pp. Zha, Dongbing; Peng, Weimin; Qin, Yuming Global existence and asymptotic behavior for some multidimensional quasilinear hyperbolic systems. J. Differential Equations 269 (2020), no. 11, 9297–9309. Peng, Weimin; Zhou, Yi Global well-posedness of incompressible Navier-Stokes equations with two slow variables. Chinese Ann. Math. Ser. B 38 (2017), no. 3, 787–794. Peng, Weimin; Zhang, Weiguo Global existence for nonlinear elastic waves in high space dimensions. Nonlinear Anal. 148 (2017), 203–211. Peng, Weimin; Hu, Dian Stability of transonic shock for supersonic flow past a wedge. Math. Methods Appl. Sci. 39 (2016), no. 7, 1891–1907. Peng, Weimin; Zhou, Yi Global well-posedness of axisymmetric Navier-Stokes equations with one slow variable. Discrete Contin. Dyn. Syst. 36 (2016), no. 7, 3845–3856. Peng, Weimin; Zha, Dongbing A note on quasilinear wave equations in two space dimensions II: Almost global existence of classical solutions. J. Math. Anal. Appl. 439 (2016), no. 1, 419–435. Peng, Weimin A generalized Liouville theorem for entire functions. Amer. Math. Monthly 122 (2015), no. 10, 1001–1002. Peng, Weimin; Zhou, Yi Global large solutions to incompressible Navier-Stokes equations with gravity. Math. Methods Appl. Sci. 38 (2015), no. 4, 590–597.
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