Academy of Mathematics and Systems Science, CAS Colloquia & Seminars
Speaker:
陶 涛, 山东大学数学系
Inviter:
Title:
Non-uniqueness for the transport equation with Sobolev vector fields
Time & Venue:
2018.2.6 14:30-16:30 N913
Abstract:
In this talk, we discuss the non-uniqueness of weak solution for the linear transport equation and the transport-diffusion equation with divergence-free vector fields in Sobolev space. More precisely, we constructed a large class of linear transport equation and transport -diffusion equation with divergence-free vector fields in Sobolev space by convex integration technique and showed that the weak solution of these equations in some class is non-unique.