Dong, Shijie
- Global solution to the wave and Klein-Gordon system under null condition in dimension two
2020/05/10 by Shijie Dong, Dong, Shijie · 3 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Waves and Solitons
- Asymptotic behavior of 2D Wave-Klein-Gordon coupled system under null condition
2022/02/16 by Shijie Dong, Yue Ma, Dong, Shijie +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Nonlinear Photonic Systems #Numerical methods for differential equations
- Global evolution of the U(1) Higgs Boson: nonlinear stability and uniform energy bounds
2019/02/07 by Dong, Shijie, LeFloch, Philippe G., Wyatt, Zoe · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
- The top-order energy of quasilinear wave equations in two space dimensions is uniformly bounded
2021/03/14 by Dong, Shijie, LeFloch, Philippe G., Lei, Zhen · 1 citation
#35L05 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Stability of some two dimensional wave maps: a wave--Klein-Gordon model
2021/03/09 by Shijie Dong, Dong, Shijie, Zoe Wyatt +1 · 1 citation
Mathematics · #35L05 #35L52 #35L71 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics
- Global solution to the cubic Dirac equation in two space dimensions
2021/11/07 by Shijie Dong, Dong, Shijie, Kuijie Li +1 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions
- Generically sharp decay for quasilinear wave equations with null condition
2022/12/23 by Dong, Shijie, Ma, Siyuan, Ma, Yue +1 · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics
- Cubic Dirac equations with a class of large data
2023/12/13 by Dong, Shijie, Li, Kuijie, Zhao, Jingya · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
- The finite volume method on a Schwarzschild background
2019/01/30 by Shijie Dong, Philippe G. LeFloch, Dong, Shijie +1 · 1 citation
Mathematics · Physics and Astronomy · #35L60 #65M05 #76L05 #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Navier-Stokes equation solutions #Numerical Analysis (math.NA)