兰州大学数学与统计学院     教授   王跃循

研究方向

研究方向为偏微分方程。研究兴趣主要集中在：可压缩流体方程的有限能量解的非存在性，解的爆破现象，以及适定性；色散方程的解的寿命估计，解的整体存在性和散射，以及解的爆破机制。

个人简历

 2016年7月毕业于清华大学并获得理学博士学位，2016年8月至2019年8月在挪威科技大学从事博士后研究工作，2019年9月入职兰州大学任副教授，2019年12月至2020年12月在巴黎萨克雷大学做访问博士后，2020年12月任教授，博士生导师。曾应邀到挪威，瑞典，加拿大，德国，美国，俄罗斯，法国做学术访问或参加学术会议或作学术报告。

教学及指导学生情况

发表论文及专著

12. Enhanced existence time of solutions to evolution equations of Whitham type. Discrete and Continuous Dynamical Systems. (2022) (with M. Ehrnström)

11. On the modified fractional Korteweg-de Vries and related equations. Nonlinearity. (2022) (with C. Klein and J.-C. Saut)

10. The wave breaking for Whitham-type equations revisited. SIAM J. Math. Anal. (2022). (with J.-C. Saut)

9. Global dynamics of small solutions to the modified fractional korteweg-de vries and fractional cubic nonlinear schrodinger equations.  Comm. Partial Differential Equations. 46 (2021), no. 10, 1851–1891. (with J.-C. Saut)

8. Global dynamics of the generalized fifth-order KdV equation with quintic nonlinearity.  J. Evol. Equ. 21 (2021). no. 2, 1449–1475.

7. Long time behavior of the fractional Korteweg-de Vries equation with cubic nonlinearity.  Discrete Contin. Dyn. Syst. 41 (2021). no. 3, 1133–1155. (with J.-C. Saut)

6. Well-posedness to the Cauchy problem of a fully dispersive Boussinesq system.  J. Dynam. Differential Equations. 33 (2021). no. 2, 805–816.

5. Enhanced existence time of solutions to the fractional Korteweg–de Vries equation.  SIAM J. Math. Anal. 51 (2019), no. 4, 3298–3323. (with M. Ehrnström)

4. Solitary wave solutions to a class of Whitham-Boussinesq systems.  Z. Angew. Math. Phys. 70 (2019). (with D. Nilsson)

3. Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations. Arch. Ration. Mech. Anal. 232 (2019), no. 2, 557–590. (with H. Li and Z. Xin)

2. Formation of singularities of spherically symmetric solutions to the 3D compressible Euler equations and Euler-Poisson equations.  NoDEA Nonlinear Differential Equations Appl. 25 (2018). (with H. Li)

1. Remarks on blow-up of smooth solutions to the compressible fluid with constant and degenerate viscosities.  J. Differential Equations 259 (2015), no. 7, 2981–3003. (with Q. Jiu and Z. Xin)

项目成果

荣誉、获奖

社会工作

其它信息

作者:王跃循