Lecture On Partial Differential Equations
time: 2021-03-05

Title1: Traveling Waves for Time-Delayed Diffusion   Equations 

Speaker1: Prof. Rui Huang ( South China Normal University )

Time: Wed, Mar.3 2021, AM: 09:30-10:10


Abstract:

       This talk is about the traveling waves for time-delayed   reaction-diffusion equations with degenerate diffusion or nonlocal dispersion   term. For the degenerate case, we will show the existence of smooth and sharp   type traveling waves, global existence and regularity of the Cauchy problem,   and the global stability of traveling waves. While, for the nonlocal   dispersion case, we will show the stability of the monotone/non-monotone and critical/non-critical   traveling waves.

 

Title2: Some results on the Landau-Lifshitz equation and   related models

Speaker2: Prof. Xueke Pu ( Guangzhou University  )

Time: Wed, Mar.3 2021, AM: 10:10-10:50


Abstract:

      In this talk, we will introduce some results on the   Landau-Lifshitz equation and related models. In particular, we will show global existence of weak solutions and local well-posedness for the   fractional Landau-Lifshitz equation.


Title3: Some results on the Landau-Lifshitz equation and   related models

Speaker3: Prof. Hongyun Peng ( Guangdong University of Technology  )

Time: Wed, Mar.3 2021, AM: 10:50-11:30


Abstract:

       We shall present a system of conservation laws derived   from the chemotaxis models describing the initiation of tumor angiogenesis.   This system has been well-studied with smooth initial data. However, many   interesting questions are still open for the discontinuous initial data. In   this talk, we shall present some recent results on the well-posedness of the   solutions to the chemotaxis system with the discontinuous initial data.


Location: 4318, Building No.4, Wushan Campus

Invitor: Prof. Huanrao Wen