Huang's Seminar on 2024 Fall

This post is a archive of forthcoming seminars led by Prof. Huang's group in 2024 Fall. We will update the relevant informations and upload sources(including recording videos and documents) in this post.

Summary

The main informations of the topics will be listed here. Please check the last section for the schedule and uploaded sources.

• Global regularity of compressible flow under sufficiently large density
  Lecturer: Yongteng Gu(顾永腾)
  Reference: H. Yu, Global existence of strong solutions to the 3d isentropic compressible navier–stokes equations with density-dependent viscosities, Mathematical Methods in the Applied Sciences, 46 (2023), pp. 10123–10136.

• Framework of PDE in hydrodynamics
  Lecturer: Anchun Ni(倪安纯)

• Global weak solutions of compressible flow with degenerate viscosity
  Lecturer: Anchun Ni(倪安纯)
  Reference:

  1. Bresch, D., Desjardins, B.: Existence of global weak solutions for 2D viscous shallow water equations and convergence to the quasi-geostrophic model. Commun. Math. Phys. 238(1–3), 211–223 (2003)
  2. Mellet,A.,Vasseur, A.:On the barotropic compressible Navier–Stokes equations.Commun. Partial Differ. Equ. 32(1–3), 431–452 (2007)
  3. Vasseur A.; Yu C. Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations. Invent. Math. 206, 935-974 (2016)

• Global regularity of full Navier-Stokes system under small data
  Lecturer: Anchun Ni(倪安纯)
  Reference:

  1. X.D. Huang, J. Li, Z.P. Xin, Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations, Commun. Pure Appl. Math. 65(4), 549-585 (2012).
  2. X.D. Huang, J. Li, Global classical and weak solutions to the three-dimensional full compressible Navier–Stokes system with vacuum and large oscillations, Arch. Rational Mech. Anal. 227, 995-1059 (2018).

Schedule and sources