Speaker：Yi Zhu（East China University of Science and Technology）

Time：2022-06-14, 10:00

Location：Tencent Meeting ID：592-310-704（No Password）

Abstract:

In this talk, we first prove the global existence of small smooth solutions to the 3D incompressible Oldroyd-B model without damping on the stress tensor. In the view of treating “nonlinear term” as a “linear term”, we then apply this result to 3D incompressible viscoelastic system with Hookean elasticity and prove the global existence of small solutions without the physical assumption (div–curl structure) like previous works. In the second part, we can deal with the 3D compressible viscoelastic system in the similar view. Furthermore, we can extend the results to critical spaces.