耿世鋒，博士、教授、博士生導師。2011年6月在中國科學院武漢物理與數學研究所獲得理學博士學位，專業是套用數學。主要從事可壓縮Euler方程組以及相關的流體力學方程的研究工作，在SIAM、JDE和CPDE等國內外重要學術刊物上發表學術論文多篇。
基本介紹
學習工作經歷,研究方向,獲獎情況,科研項目,論文專著,
學習工作經歷
2019.1- 至今 湘潭大學數學與計算科學學院任教授；
2014.1-2018.12 湘潭大學數學與計算科學學院任副教授；
2011.7-2013.12 湘潭大學數學與計算科學學院任講師。
研究方向
非線性偏微分方程
獲獎情況
非線性偏微分方程中的若干問題的研究, 湖南省自然科學獎, 二等獎, 2016, 排名第二；
幾類具有阻尼項的擬線性雙曲方程解的漸近行為和收斂率，中國科學院院長獎優秀獎，2011。
科研項目
- 2021.1--2024.12，國家自然科學基金面上項目：可壓縮流體熵解的漸近行為及其相關問題的研究.
- 2018.1--2020.12，湖南省自然科學基金面上項目：非線性雙曲守恆律方程組解的大時間漸近行為的研究.
- 2014.1--2016.12，國家自然科學基金青年科學基金：具阻尼的非等熵P-方程組解的漸近行為和最優收斂率.
- 2013.1--2015.12，教育部高等學校博士點基金項目：一類具阻尼的雙曲方程解的漸近行為和最優收斂率.
論文專著
[1] Shifeng Geng, Yanping Lin, Ming Mei, Asymptotic behavior of solutions to Euler equations with time-dependent damping in critical case, SIAM J. Math. Anal., 52(2020), 1463-1488.
[2] Shifeng Geng, Feimin Huang, L^1-convergence rates to the Barenblatt solution for the damped compressible Euler equations. J. Differential Equations 266(2019), no. 12, 7890–7908.
[3] Shifeng Geng, Yanjuan Tang. Convergence rates to nonlinear diffusive waves for solutions to nonlinear hyperbolic system, Acta Math. Sci., 39(2019) , 46–56.
[4] Shifeng Geng, Zhen Wang, Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping, Acta Mathematicae Applicatae Sinica, English Series, 32 (2016), 55–66.
[5] Shifeng Geng, Lina Zhang, Lp-convergence rates to nonlinear diffusion waves for quasilinear equations with nonlinear damping, Z. Angew. Math. Phys, 2015,66 (1) : 31–50.
[6] Shifeng Geng, Lina Zhang, Boundary effects and large-time behaviour for quasilinear equations with nonlinear damping, Proc. Roy. Soc. Edinburgh Sect. A, 2015,145 A (5): 959–978.
[7] Shifeng Geng, Lina Zhang, Large-time behavior of solutions for the system of compressible adiabatic flow through porous media with nonlinear damping,Commun. Pure Appl. Anal., 2014,13 (6) : 2211–2228.
[8] Shifeng Geng, Zhen Wang, Lp convergence rates of solutions for n-dimensional quasilinear damped wave equation, J. Math. Anal. Appl., 2014,412 (1): 449–465.
[9] Shifeng Geng, Guowang Chen, Global existence of solutions of Cauchy problem for generalized BBM-Burgers equation, Acta Mathematica Scientia, 2013,33B: 1007-1023.
[10] Shifeng Geng, Zhen Wang, Best asymptotic profile for the system of compressible adiabatic flow through porous media on quadrant，Commun. Pure Appl. Anal.,2012, 11: 475-500.
[11] Shifeng Geng, Zhen Wang, Convergence rates to nonlinear diffusion waves for solutions to the system of compressible adiabatic flow through porous media,Communications in Partial Differential Equations,2011, 36: 850-872.
[12] Shifeng Geng,Convergence rates to Asymptotic Profile for solutions of Quasilinear Hyperbolic Equations with linear damping，Journal of Hyperbolic Differential Equations,2011,8: 115-129.
