Our seminar takes place every Thursday at 9am in Room 114, Math Building.

In general, each presentation lasts 45 minutes, with a discussion session afterwards.

Time plan of talks:

Dec 4 -- Louis Garénaux (KIT)

Title: Stability of propagated fronts in scalar balance laws

Abstract: Scalar balance laws are advection-reaction equations, that appear either in biology or physic when one mesures the variation of a quantity over time. In this presentation, we will focus on specific solutions of these equations, namely propagated waves that connect two distinct constant states. A large variety of such waves can be constructed, and we will discuss the stability of some of them. It is a joint work with L. M. Rodrigues.

Dec 11 -- two talks

9:00--10:00 Robert Wegner (Ph. D. student @KIT)

Title: TBA

10:00--11:00 Louis Garénaux (KIT)

Ttitle: Large time dynamics in Klein-Gordon equations

Abstract: The Klein-Gordon equation is a wave equation with an additional mass damping term. In this presentation, I will review some literature about the dynamic of such equation when settled on an unbounded one-dimensional spatial domain. I will further present some new results regarding the global existence and long time behaviour of solutions that are initialy close to constant or periodic equilibria. Most notably, I will talk about a viscous approximation of this equation, as well as describe how uniformly local orbital stability can be obtained from polar decomposition. This is joint work with Björn de Rijk and Emile Bukieda.

Dec 18 -- Robert Wegner  (Ph. D. student @KIT)

Title: TBA

Dec 25 -- TBA

Past Evens:

Sep 18 -- Mengyu Cheng (程梦雨, Associate Prof. @DUT)

Title: Random attractors for SDEs

Sep 25 -- Jie Fan (樊洁, PostDoc @ AMSS, CAS)

Title: Global Well-Posedness and Singularity Analysis for Solutions of Compressible Fluids

Oct 9 -- Lili Wang (王莉莉, Ph. D. student @ DUT)

Title: Blow-up suppression for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

Oct 16 -- Two talks

9:00--10:00 Shikun Cui (崔世坤, Ph. D. student @ DUT)

Title: Stability and instability of Standing Periodic Waves in the Massive Thirring Model

10:00--11:00 Yang Cao (曹杨, Prof. @ DUT)

Title: Threshold dynamics of traveling waves for monostable pseudo-parabolic equation

Oct 23 -- Junhyeok Byeon (卞俊赫, Associate Prof. @DUT)

Title: A Stochastic Consensus Model for Global Optimization

Oct 30 -- Xiang Liu (刘相,  PostDoc @UNIPD)

Title: Mean Motion Resonant Normal Forms for Crossing Orbits and Close Encounters in the Three-Body Problem

Nov 6 -- Two talks

9:00--9:45 Samuel Adrian Antz  (Ph. D. student @DUT)

Title: Yang-Mills equations

10:00--10:45 Qingxiang Shi  (Associate Prof. @DUT)

Title: TBA

Nov 13 -- Yichen Hu (Assistant Prof. @DUT)

Title: On the quantitative stability of critical points of the Hardy-Littlewood-Sobolev inequality in $\mathbb{R}^{n}$ with $n\geq3$

Nov 20 -- Samuel Adrian Antz  (Ph. D. student @DUT)

Title: Seiberg-Witten equations

Nov 27 -- Xiaomeng Cheng (陈晓萌, Ph. D. student @DUT)

Title: Existence of suitable weak solutions and their regularity for the 3D Chemotaxis-Navier-Stokes equations