Nonlinear conservation law, Balance law, Nonlinear PDEs

硕士研究生

070104-应用数学

非线性双曲型守恒律分方程

2009-09--2014-07   中国科学院武汉物理与数学研究所   博士学位
2005-09--2009-07   郑州大学 数学系   学士学位

理学博士，中国科学院武汉物理与数学研究所，2014.06

本科， 郑州大学  数学系，2009.06

理学博士学位，中国科学院武汉物理与数学研究所，2014.06

理学学士学位，郑州大学     数学系，2009.06

   

2020-05~现在, 中国科学院精密测量科学与技术创新研究院, 副研究员
2017-10~2020-04,中国科学院武汉物理与数学研究所, 副研究员
2014-07~2017-09,中国科学院武汉物理与数学研究所, 助理研究员

   

[1] Zhao, Yuanan, Cao, Gaowei, Yang, Xiaozhou. Global Solutions and Interactions of Non-selfsimilar Elementary Waves for n-D Non-homogeneous Burgers Equation. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2023, 第 2 作者  通讯作者  39(4): 830-853, http://dx.doi.org/10.1007/s10255-023-1097-9.
[2] Qiu, Guiqin, Cao, Gaowei, Yang, Xiaozhou. Structures of Interaction of Non-selfsimilar Elementary Waves for 2D Scalar Conservation Law with Two Initial Discontinuities. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2023, 第 2 作者39(3): 465-490, http://dx.doi.org/10.1007/s10255-023-1058-3.
[3] 邱贵芹, 曹高伟, 杨小舟, 赵远安. Envelope methods and more general new global structures of solutions for multi-dimensional conservation law. Commun. Appl. Math. Comp.[J]. 2023, 第 2 作者3(5): 1180-1234, 
[4] Cao, Gaowei, Kan, Hui, Xiang, Wei, Yang, Xiaozhou. Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2023, 第 1 作者39(1): 17-27, 
[5] Cao, Gaowei, Gui-Qiang G. Chen. Minimal entropy conditions for scalar conservation laws with general convex fluxes. Quarterly of Applied Mathematics[J]. 2023, 第 1 作者3(81): 567-598, https://www.ams.org/journals/qam/2023-81-03/S0033-569X-2023-01669-7/.
[6] Comm. Math. Anal. Appl.(Special Issue in Honor of Professor Gui-Qiang Chen's 60th Birthday). 2023, 第 1 作者
[7] Acta Math. Appl. Sin., Engl. Ser.. 2023, 第 2 作者
[8] Acta Math. Appl. Sin., Engl. Ser.(Special Issue of Partial Differential Equations). 2023, 第 1 作者
[9] Comm. Appl. Math. Comp.(Focus Issue for 90th Birthday of Professor Tong Zhang). 2023, 第 2 作者
[10] Hu Kai, Cao Gaowei, Yang Xiaozhou. Non-selfsimilar global solutions and their structure for the multi-dimensional combustion models. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2017, 第 2 作者  通讯作者  33(3): 659-678, http://ir.wipm.ac.cn/handle/112942/16358, http://www.irgrid.ac.cn/handle/1471x/6857558, http://ir.wipm.ac.cn/handle/112942/16359.
[11] Cao, Gaowei, Xiang, Wei, Yang, Xiaozhou. Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data. JOURNAL OF DIFFERENTIAL EQUATIONS[J]. 2017, 第 1 作者263(2): 1055-1078, http://dx.doi.org/10.1016/j.jde.2017.03.007.
[12] Yang, Chunlong, Cao, Gaowei, Yang, Xiaozhou. UNIFORM FORMULA FOR THE RIEMANN SOLUTIONS OF A SCALAR COMBUSTION MODEL. ACTA MATHEMATICA SCIENTIA[J]. 2016, 第 2 作者  通讯作者  36(5): 1405-1418, http://lib.cqvip.com/Qikan/Article/Detail?id=Wd8388877688664569504849544853484950.
[13] Cao, Gaowei, Hu, Kai, Yang, Xiaozhou. Envelope and classification of global structures of solutions for a class of two-dimensional conservation laws. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2016, 第 1 作者32(3): 579-590, http://ir.wipm.ac.cn/handle/112942/9510.
[14] Gao, Gaowei, Hu, Kai, Yang, Xiaozhou. FORMULA OF GLOBAL SMOOTH SOLUTION FOR NON-HOMOGENEOUS M-D CONSERVATION LAW WITH UNBOUNDED INITIAL VALUE. ACTA MATHEMATICA SCIENTIA[J]. 2015, 35(2): 508-526, http://lib.cqvip.com/Qikan/Article/Detail?id=664205698.
[15] Hu, Kai, Cao, Gaowei, Yang, Xiaozhou. Riemann Problems for Three-dimensional Combustion Models. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES[J]. 2014, 第 2 作者30(2): 321-346, http://ir.wipm.ac.cn/handle/112942/1489.

   

（ 1 ） 高维非齐次守恒律方程解的新的复杂结构及其演化的研究, 主持, 研究所（学校）, 2021-01--2022-12

已指导学生

崔颖  硕士研究生  070101-基础数学