2021/2023 UNC Greensboro PDE Conference.
Electron. J. Diff. Eqns., Conference 26 (2022), pp. 171-178.

Title: Bilinear estimates posed in finite domains in 2D and 3D

Authors: Zhuoru Chen (Univ. of Cincinnati, OH, USA)
         Taige Wang (Univ. of Cincinnati, OH, USA)
         Xiangfei Xie (Univ. of Cincinnati, OH, USA)
 
Abstract: 
In this article, we establish bilinear estimates for the 
nonlinear term appearing in fluid mechanics models posed in bounded
domains of 2D and 3D. Also, we give an example to apply the estimates in 
a 2D bounded domain. 

Published May 13, 2025.
Math Subject Classifications: 35D05, 35K55, 34K13, 35Q93.
Key Words: Bilinear estimate; wellposedness; existence