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Seminars

Analysis Seminar

Time-asymptotic expansion and fluid approximation of the 1D Boltzmann equation with hard potentials

2026/03/03 (Tue.) 10:00~13:00
  • Date : 2026/03/03 (Tue.) 10:00~13:00
  • Location : online
  • Speaker : Hui Tzu Chang (National Cheng Kung University)
  • Organizer : Tai-Ping Liu (AS)
  • Abstract : We investigate the quantitative pointwise behavior of solutions to the one-dimensional (1D) Boltzmann equation for hard potentials and Maxwellian molecules. Our study pursues two main objectives. First, we characterize the time-asymptotic hierarchical structure of solutions. Second, we establish the asymptotic equivalence between solutions of the 1D Boltzmann equation and the 1D compressible Navier-Stokes equations. Unlike prior works in the multi-dimensional case, where comparison of linear solutions suffices, our approach extracts the leading nonlinear fluid waves from the 1D Boltzmann equation and directly compares them with solutions of the nonlinear Navier-Stokes system.

Click here to register: https://forms.gle/EhVyNa94MDEhQkqF9 (Deadline: 4pm, March 2)
本所保留開放連線之權限，報名並非確定可加入視訊討論。Registration does not guarantee participation.
請注意截止時間，逾時不受理報名。Please note the deadline; no applications will be accepted after the deadline.

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