Speaker：Quansen Jiu (Capital Normal University)

Time：2024-9-11, 10:00

Location：Conference Room C503 at Administration Building at Haiyun Campus

Abstract:

The global existence of weak solutions for the three-dimensional axisymmetric, without swirl, Euler-\alpha (also known as Lagrangian-averaged Euler-\alpha) equations of an ideal second-grade viscoelastic fluid model is established, whenever the initial unfiltered velocity v_0 satisfies \frac{\nabla \times v_0}{r} is a finite Randon measure with compact support. Furthermore, the global existence and uniqueness, is also established in this case provided \frac{\nabla \times v_0}{r} \in L^p_c(\mathbb{R}^3), with p>\frac{3}{2}.