Archive of Huang's seminars

This page is a archive of the following seminars led by Prof. Huang's group. 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.

• Schauder theory of elliptic equations.
  Lecturer: Yongteng Gu(顾永腾)
  Reference: 陈亚浙，二阶椭圆方程与椭圆方程组，科学出版社 (2010).

• Functional analysis.
  Lecturer: Weili Meng(孟维利)
  Reference: H. Brezis, Functional analysis, Sobolev spaces and partial differential equations, Springer (2010).

• Shock waves and systems of conservation law.
  Lecturer: Anchun Ni(倪安纯)
  Reference: T.P. Liu, Shock waves, American Mathematical Society (2021).
  Remark: We mainly focus on the first four chapter(about convex scalar conservation laws and Burgers equation), the later topics about hyperbolic system will depend on the progress.

• Global regularity of 2D Kazhihov-Vaigiant model
  Lecturer: Anchun Ni(倪安纯)
  Reference:

  1. X. D. Huang, J. Li, Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data, J. Math. Pures. Appl. 106(1), 123-154 (2016).
  2. V.A. Vaigant, A.V. Kazhikhov, On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid, Sib. Math. J., 36(6), 1283-1316 (1995).

• Serrin type blowup criterion of isentropic flow
  Lecturer: Anchun Ni(倪安纯)
  Reference:

  1. X. D. Huang, J. Li, Serrin-type criterion for the three-dimensional viscous compressible flows, SIAM J. Math. Anal., 43(4), 1872-1886 (2011).

Schedule and sources