Speaker：Xianpeng Hu (The Hong Kong Polytechnic University)

Time：2026-10-23 15: 00

Location：Conference Room C610 at Administration Building at Haiyun Campus

Abstract:

We will discuss the co-rotational Beris-Edwards system, which models incompressible liquid crystal flows with Laudau-De Gennes bulk potential. We establish the quantitative blow-up rates for critically bounded solutions of the co-rotational Beris-Edwards system. We applied the cancellation property to deal with the loss of regularity for Q tensors. Moreover, with the help of linearization of Q tensors and the partial regularity for perturbed co-rotational Beris-Edwards system, we establish a refined quantitative Carleman estimate based on the vorticity-Hessian formulation to overcome the bulk potential.