數(shù)學(xué)與統(tǒng)計(jì)學(xué)院研究生導(dǎo)師信息

一、電子照片

二、基本情況

姓名：李景

性別：女

學(xué)歷學(xué)位：博士研究生

職稱：教授

職務(wù)：副院長

學(xué)術(shù)兼職：湖南省數(shù)學(xué)會理事、湖南省系統(tǒng)仿真學(xué)會理事

研究方向：偏微分方程

電子郵箱：lijingnew@126.com

三、專業(yè)教學(xué)及教學(xué)成果

主要承擔(dān)《線性代數(shù)》、《概率論與數(shù)理統(tǒng)計(jì)》、《Sobolev空間》、《數(shù)理方程》等課程教學(xué)；

主要教學(xué)成果：

1．主持湖南省學(xué)位與研究生教學(xué)改革研究項(xiàng)目：“雙主體”背景下數(shù)學(xué)與統(tǒng)計(jì)學(xué)研究生培養(yǎng)模式改革的研究，2021.8-2023.7，省級。

2．主持本科教研教改項(xiàng)目：國外教學(xué)理念在大學(xué)數(shù)學(xué)課程教學(xué)中的應(yīng)用研究，2019.6-2021.5，校級。

3.主持校級研究生教育教學(xué)改革研究項(xiàng)目：“雙一流”背景下提高數(shù)學(xué)學(xué)科研究生培養(yǎng)質(zhì)量的改革實(shí)踐與理論研究，2019.9-2020.12，校級。

4.指導(dǎo)大學(xué)生參加Mathematical Contest in Modelling美國數(shù)學(xué)建模競賽獲H獎，2021年。

5.指導(dǎo)大學(xué)生創(chuàng)新訓(xùn)練項(xiàng)目：新冠病毒傳播分析及其對長沙市旅游業(yè)影響的數(shù)學(xué)模型研究，國家級，2020.6-2022.6。

6. 李景，王芳，大學(xué)數(shù)學(xué)課程教學(xué)的多元化教學(xué)模式改革，科教導(dǎo)刊，2020，vol.18, P195、P216.

7.李景，趙康，淺談如何提高數(shù)學(xué)學(xué)科研究生科研貢獻(xiàn)率，科教導(dǎo)刊，2020, vol.34, P212.

8.李景，如何提高數(shù)學(xué)學(xué)科研究生培養(yǎng)質(zhì)量，文淵，2020，P324.

9.李景，大學(xué)數(shù)學(xué)教學(xué)模式的改革與創(chuàng)新，科技信息，2012，P100.

四、研究方向及研究團(tuán)隊(duì)

主要從事應(yīng)用數(shù)學(xué)學(xué)科領(lǐng)域科研工作；

五、科研成果

1.主持國家自然科學(xué)基金數(shù)學(xué)天元項(xiàng)目，非線性發(fā)展方程的穩(wěn)定性理論研究，12126408,20萬元。

2.主持軍工項(xiàng)目，****分?jǐn)?shù)階微積分方程理論，100萬元，2022-2024。

3.主持湖南省教育廳重點(diǎn)項(xiàng)目，20A022，求解時(shí)間-空間分?jǐn)?shù)階Landau-Lifshitz-Bloch方程，2020/06-2023/06, 10萬元，在研，主持。

4.主持湖南省自然科學(xué)基金面上項(xiàng)目，2021JJ30697，分?jǐn)?shù)階Landau-Lifshitz-Bloch方程的定性分析及數(shù)值解2021.9-2023.12.，在研，主持。

5.主持湖南省自然科學(xué)基金青年項(xiàng)目，2018JJ3519，求解空間、時(shí)間分布階對流擴(kuò)散方程，2018/01-2020/08, 5萬元，已結(jié)題，主持。

6.主持湖南省教育廳優(yōu)秀青年項(xiàng)目，17B003，移動邊界上空間、時(shí)間分?jǐn)?shù)階對流擴(kuò)散方程的有限體積法，2017/09-2020/06, 7萬元，已結(jié)題，主持。

7.主持國家自然科學(xué)基金青年項(xiàng)目，11301040，多項(xiàng)時(shí)間-空間分?jǐn)?shù)階對流擴(kuò)散方程，2014/01-2016/12, 22萬元，已結(jié)題，主持。

8.主持國家自然科學(xué)基金專項(xiàng)基金數(shù)學(xué)天元項(xiàng)目，11226166，分?jǐn)?shù)階擴(kuò)散方程未知參數(shù)的求解，2013/01-2013/12, 3萬元，已結(jié)題，主持。

[1]Li J.，Li K., The defoucusing energy-supercritical nonlinear Schrodinger equation in high dimensions, SIAM J. Math. Anal., 2022, vol. 54, 3253--3274.

[2] Li J., Yang Y., Jiang Y., Feng L., Guo B., High-order numerical method for solving a space distributed-order time-fractional diffusion equation, Acta Mathematica Scientia, 2021,vol. 41B: 801-826.

[3] Li J., Guo B., Zeng L., Pei Y.，Global weak solution and smooth solution of the periodic initial value problem for the generalized Landau-Lifshitz-Bloch equation in high dimensions，Discrete & Continuous Dynamical Systems - B, 2020, vol. 25, 1345-1360.

[4] Li J., Sladek J., Sladek V., Wen P., Hybrid meshless displacement discontinuity method (MDDM) in fracture mechanics: Static and dynamic, European Journal of Mechanics/A Solids, 2020,vol. 83, 104023.

[5] Chen C., Shen S., Dou F., Li J., The LMAPS for solving fourth-order PDEs with polynomial basis functions, Mathematics and Computers in Simulation, 2020, vol.177, 500-515.

[6] Chang W., Chen C., Liu X., Li J., Localized meshless methods based on polynomial basis functions for solving axisymmetric equations, Mathematics and Computers in Simulation, 2020, vol.177, 500-515.

[7] Li X., Liu Z., Li J.,Existence and controllability for nonlinear fractional control systems with damping in Hilbert spaces, Acta Mathematica Scientia, Series B, 2019, vol. 39B, 229-242.

[8] Liu F., Feng L., Anh V., Li J.，Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains，Computers and Mathematics with Applications, 2019, vol. 78, 1637-1650.

[9] Li X., Li Y., Liu Z., Li J.，Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions, Fractional Calculus and Applied Analysis, 2018, vol. 21, 1439-1470.

[10] Li J., Liu F., Feng L., Turner I., A novel finite volume method for the Riesz space distributed order advection-diffusion equation, Applied Mathematical Modelling, vol.46, 2017: 536-553.

[11]  Li J, Liu J. Z., Korakianitis T., Wen P.H., Finite block method in fracture analysis with functionally graded materials, Engineering Analysis with Boundary Elements, vol.82,  2017: 57-67.

[12]  Li J, Liu F., Feng L., Turner I., A novel finite volume method for the Riesz space  distributed order diffusion equation, Computers and Mathematics with Applications, vol.74, 2017: 772-783.

[13]  Li J., Guo B. L., Divergent Solution to the Nonlinear Schr¨odinger Equation with the  Combined Power-Type Nonlinearities, Journal of Applied Analysis and Computation, vol.7, 2017: 249-263.

[14]  Li J, Huang T., Yue J.H., Shi C., Wen P.H., Anti-plane fundamental solutions of Functionally graded materials and applications to fracture mechanics, Journal of Strain Analysis for Engineering Design, vol.52, 2017: 1-12.

[15]  Li J., Shi C., Wen P.H., Numerical analysis for cracked functionally graded materials by Finite block method, Key Engineering Materials, vol.754, 2017.

[16]  Feng L., Zhuang P., Liu F., Turner I., Li J, High-order numerical methods for the Riesz space fractional advection?dispersion equations, Computers and Mathematics with Applications, 2016, http://dx.doi.org/10.1016/j.camwa.2016.01.015

[17] Feng L., Zhuang P., Liu F., Turner I., Anh V., Li J., A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients,  Computers and Mathematics with Applications, vol. 73, 2017, 1155-1171.

[18] Li J., Guo B. L., Parameter identification in fractional differential equations, Acta Matematica Scientia, vol. 33, 2013: 855-864.

[19] Li J., Guo B. L., The quasi-reversibility method to solve heat equations with mixed Boundary values, Acta Mathematica Sinica, English Series, vol. 29, 1617-1628.

[20] Xu Y. J., Li J., Liu Z. H., Controllability for a parabolic equation with a nonlinear term involving the state and the gradient. Journal of Applied Mathematics and Computing, vol.   29, 2009: 197-206.

[21] Li J., Xu Y. J., An inverse coefficient problem with nonlinear parabolic equation, Journal  of Applied Mathematics and Computing, vol. 34, 2010: 195-206.

[22] Li J, Deng Y. J., Fast Compression Algorithms for Capsule Endoscope Images, 2nd International Congress on Image and Signal Processing, 2009: 212-215.

[23] Liu Z. H., Li J., Li Z. W., Regularization method with two parameters for nonlinear  ill-posed problems, Science in China Series A: Mathematics, vol. 51, 2008: 70-78.

[24] Xu Y. J., Liu Z. H., Li J., Identification of nonlinearity in k-approximate periodic Parabolic equations, Nonlinear Analysis, vol. 71, 2009: 691-696.

[25] Li J., Wang F., Simplified Tikhonov regularization for two kinds of parabolic equations,   Journal of Korean Mathematical Society, vol. 48, 2011: 311-327.

[26] Li J., Liu Z. H., Convergence rate analysis for parameter identification with semi-linear parabolic equation, Journal of inverse and ill-posed problems, vol. 17, 2009: 373-383.