Abstract: We study the weak solvability and properties of weak solutions of scalar elliptic equations of the convection-diffusion type. The equations under consideration are motivated by problems arising in the theory of the axi-symmetric Navier-Stokes equations. First, we briefly review some of the results known for the divergence free drifts. After that, we consider the case when the drift, in addition to the solenoidal term, also contains a singular non-divergence free part. The issues of existence and uniqueness of weak solutions, as well as their regularity, will be discussed.
Zoom Information:
Link: https://zoom.com.cn/j/65531074199?pwd=SXVqRktYck4rbDJNakNHL0VGUGdyQT09
Conference ID：655 3107 4199
Passwords：981609
