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Scientific research
Lai NingAn
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professor Supervisor of Doctorate Candidates Supervisor of Master's Candidates
Scientific research
Research project
非线性双 曲型偏微分方程的数学分析-生命跨度估计, 2025/10/14-2027/12/31, 国家自然科学基金 国际(地区)合作与交流项目(NSFC-JSPS)
二维外区域上非线性波动方程解的长时间行为, 2022/09/16-2026/12/31, 在研, 国家自然科学基金面上项目
Achievements of works
Patent
Paper achievements
Lifespan estimates for 2-dimensional semilinear wave equations in asymptotically Euclidean exterior domains.J. Funct. Anal..2021,281(12):Paper No. 109253, 32 pp.
Global instability of multi-dimensional plane shocks for isothermal flow.Acta Math. Sci. Ser. B (Engl. Ed.).2022,42(3):887–902
Finite time blow-up for a semilinear generalized Tricomi system with mixed nonlinearity.Nonlinear Anal. Real World Appl..2022,67:Paper No. 103613, 12 pp
Positivity of temperature for some non-isothermal fluid models.J. Differential Equations.2022,339:555–578
Blow-up and lifespan estimate for generalized Tricomi equations related to Glassey conjecture.Math. Z..2022,301(4):3369–3393
Lifespan estimates for semilinear wave equations with space dependent damping and potential.Calc. Var. Partial Differential Equations.2023,62(2):Paper No. 44, 32 pp
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