一 基本信息
基本信息:
suncitygroup太阳新城 suncitygroup太阳新城 讲师
二 个人经历
2021.11-至今,suncitygroup太阳新城,讲师
2017.09-2021.09, 北京理工大学, 博士
2014.09-2017.07,山西大学, 硕士
2010.09-2014.07,山西师范大学, 学士
三 研究方向、教学课程
研究方向:非线性泛函分析,非线性偏微分方程,数学物理方程
主讲课程:数学分析,高等数学,线性代数
四 科研成果、教学成果
山西省基础研究计划青年基金, 202203021212286, 一类三分Degasperis-
Procesi浅水波系统的Cauchy问题, 2023年1月1日-2025年12月31日,
4万元, 结题, 主持.
发表论文:
[1] Dong X. F., Wave-breaking criteria and persistence properties for the nonlocal
Whitham-type equations[J]. Communications in Nonlinear Science and Numerical Simulation, 152 (2026) 109348.
[2] Dong X. F., Blow-up criteria for a new periodic quasilinear shallow-water waves equation[J]. Monatshefte für Mathematik 209(2026)585-612.
[3] Dong X. F., Wave-breaking criteria of solution for a Fornberg-Whitham type
equation revisited[J]. Nonlinear Analysis: Real World Applications, 85 (2025) 104348.
[4] Dong X. F., Wave-breaking criteria and persistence properties for a rotational b-family equation[J]. Discrete and Continuous Dynamical Systems - Series B, 30(2025) 2848-2864.
[5] Dong X. F., Wave-breaking phenomena for the generalized Camassa–Holm
equation with dual-power nonlinearities[J]. Nonlinear Analysis: Real World Applications, 75 (2024) 103965.
[6] Dong X. F., Su X. X. and Wang K., Wave-breaking phenomena for a new weakly dissipative quasilinear shallow-water waves equation[J]. Monatshefte für Mathematik, 205 (2024) 235–266.
[7] Dong X. F., On blow-up phenomena for a weakly dissipative periodic two-component b-family system revisited[J]. Mathematical Methods in the Applied Sciences, 47 (2024) 8511–8526.
[8] Dong X. F., Blow-up scenario for a generalized Camassa-Holm equation with both quadratic and cubic nonlinearity[J]. Applicable Analysis, 100 (2021) 1180-1197.
[9] Dong X. F., Revisit to wave breaking phenomena for the periodic Dullin-Gottwald
-Holm equation[J]. Journal of Mathematical Physics 61(2020) 071509.
[10] Dong X. F., Blow-up issues for the weakly dissipative periodic b-family of equations revisited[J]. Journal of Mathematical Physics 61(2020) 121503.