Research keywords (4):
Hyperbolic conservation law
, Blow-up
, Quasilinear wave equations
, Partial differential equations
Research theme for competitive and other funds (4):
2024 - 2028 Closeness and model fusion between gaseous plasma and virtual reinforcement-learning algorithm and their fruitful synthesized system
2023 - 2027 退化型準線形波動方程式における正則性理論の深化と未解決問題への応用
2019 - 2023 退化型準線形波動方程式の正則性理論の構築とその応用
2016 - 2019 Classification of the behavior of solutions to degenerate quasi-linear wave equations
Papers (24):
Yanbo Hu, Yuusuke Sugiyama. Well-Posedness of Degenerate Initial-Boundary Value Problems to a Hyperbolic-Parabolic Coupled System Arising from Nematic Liquid Crystals. Archive for Rational Mechanics and Analysis. 2025
Yanbo Hu, Yuusuke Sugiyama. Well-posedness of the initial-boundary value problem for 1D degenerate quasilinear wave equations. Advances in Differential Equations. 2025. 30. 3/4
Yuusuke Sugiyama. Global existence and Blow-up for the 1D damped compressible Euler equations with time and space dependent perturbation. Nonlinear Analysis. 2025. 250. 113658-113658
Yanbo Hu, Yuusuke Sugiyama. The classical solvability for a one-dimensional nonlinear thermoelasticity system with the far field degeneracy. Advanced Nonlinear Studies. 2024. 24. 4. 857-879
Yuusuke Sugiyama. Local solvability for a quasilinear wave equation with the far field degeneracy: 1D case. Communications in Mathematical Sciences. 2023. 21. 1. 219-237
Asymptotic behavior of solutions to the drift-diffusion equation of elliptic type (Reconsideration of the method of estimates on partial differential equations from a point of view of the theory on abstract evolution equations). 2016. 1984. 143-151