姓名

刘静静

职称

副教授

学科/专业学位类别

应用数学/软件工程

研究方向

非线性偏微分方程

1.  导师基本情况

 博士、副教授、硕士生导师，郑州轻工业学院青年骨干教师。2006年6月在洛阳师范学院取得理学硕士学位，2009年6月在兰州大学获取理学硕士学位，2012年6月在中山大学获得理学博士学位。

主要从事非线性偏微分方程研究，研究领域包括浅水波方程，p(x)-Laplace方程等。《Ann.  I. H. Poincaré –AN》、《IMAJ. Appl. Math.》、《NonlinearAnal. Real World Appl.》、《J.Math. Anal. Appl.》等学术期刊审稿人。

2. 代表性成果

[1]JingjingLiu,Patrizia Pucci, Haitao Wu, Qihu Zhang. Existence and blow-up rateof large solutions of p(x)-Laplacian equations with gradientterms. Journal of Mathematical Analysis and Applications, Volume457, Issue 1, 1 January 2018, Pages 944-977 SCI

[2]JingjingLiu and Zhaoyang Yin, On the Cauchy problem of a weaklydissipative μ-Hunter-Saxton  equation, ANNALES DE L INSTITUTHENRI POINCARE-ANALYSE NON LINEAIRE, vol: 31 (2 )  267-279   MAR-APR 2014  SCI

[3]Jingjing Liu, Global weak solutions to a weakly dissipativeμ-Hunter-Saxton equation, Ukrainian  Math. J., 65(8), 1217-1230,2014  SCI

[4]Jingjing Liu,Qi Huzhang and Chunshan Zhao , Existence of positivesolutions for p(x)-Laplacian  equations with a singular nonlinearterm, Electronic Journal of Differential Equations,Vol. 2014 (2014), No. 155, pp. 1-21.  SCI

[5]JingjingLiu, Yuqi Niu and Dequan Zhang, On the Cauchy problem for aweakly dissipative μ-Degasperis-Procesi equation, Adv.Difference Equ., 2013:350, 2013  SCI

[6]JingjingLiu and Dequan Zhang, Blow-up phenomena and global existence forthe periodic two-  component Dullin-Gottwald-Holm system, Bound.Value Probl., 2013:158, 2013  SCI

[7]JingjingLiu, The Cauchy problem of a periodic 2-component μ-Hunter–Saxtonsystem in Besov  spaces, J. Math. Anal. Appl., 399(2), 650-666,2013  SCI

[8]JingjingLiu and Zhaoyang Yin, On the blow-up phenomena for a modifiedperiodic two-component Camassa–Holm equation, IMA J. Appl.Math., 77(4), 563-577, 2012  SCI

[9]JingjingLiu and Zhaoyang Yin, On the cauchy problem of a periodic2-component μ-Hunter-Saxton  system,  Nonlinear Anal., 75(1),131-142, 2012 SCI

[10]JingjingLiu and Zhaoyang Yin, Global weak solutions for a periodictwo-component μ-Hunter-Saxton system,  Monatsh. Math., 168(3-4),503-521, 2012 SCI

[11]JingjingLiu and Zhaoyang Yin, On the cauchy problem of a two-componentb-family system,  Nonlinear Anal. Real World Appl., 12(6),3608-3620, 2011 SCI

[12]JingjingLiu, Positive solutions of the p(x)-Laplace equation withsingular nonlinearity, Nonlinear  Anal., 72(12) , 4428-4437, 2010 SCI

[13]JingjingLiu and Xiayang Shi, Existence of three solutions for a class ofquasilinear elliptic systems  involving the (p(x),q(x))-Laplacian, Nonlinear Anal., 71(1-2), 550-557, 2009  SCI

[14]XingingLiu and Jingjing Liu， Onthe low regularity solutions and wave breaking for an equation modeling shallow water waves of moderate amplitude,NonlinearAnalysis: Theory, Methods &  Applications, Volume 107,September 2014, Pages 1–11.  SCI

[15]LiYin, Xiaopin Liu, Jingjing Liu and Qihu Zhang, On the prescribedvariable exponent mean curvature impulsive system boundary valueproblems, Boundary Value Problems 2014, 2014:139 SCI

[16]JingjingLiu, Patrizia Pucci, Qihu Zhang，Wavebreaking analysis for the periodic rotation-two-componentCamassa–Holm system.  Nonlinear Analysis, Volume 187, October2019, Pages 214-228

[17]JingjingLiu , Blow-up phenomena for the rotation-two-componentCamassa-Holm system , Applicable Analysis ,  Online.  2019       https://doi.org/10.1080/00036811.2019.1612050

3. 在研的项目

[1]国家自然基金《关于两个分量的非线性色散波方程组的研究》。项目批准号：11701525，项目时间：2018.01.01-2020.12.31，主持，在研。

[2]国家自然基金面上项目《不可压缩Navier-Stokes方程适当弱解的研究》。项目批准号：11971446。参与，在研。

[3]国家自然基金《修正的两个分量的Camassa-Holm系统的若干问题研究》。项目批准号：11326161。主持，结项。

[4]河南省教育厅重点科学技术研究项目《关于两个分量的浅水波系统的研究》，项目批准号：14A110011，主持结项。

[5]国家自然基金（青年基金）项目《土壤水流动问题基于降维技术的有限体积元法研究》，项目批准号：11101453，参与结项。