Transport equation: extension of classical results for div $b\in$ BMO

Abstract

We investigate the transport equation: $u_t+b\cdot \nabla u=0$. Our result improves the criteria on uniqueness of weak solutions, replacing the classical condition: $÷b\in L_{\infty }$ by $÷b\in BMO$.

References in corpus (1)

• Zygmund spaces, inviscid limits and uniqueness of Euler flows