In this paper we study the Cauchy problem for viscous shallow water equations. We work in the Sobolev spaces of index to obtain local solutions for any initial data, and global solutions for small initial data.
Cite this article
Weike Wang, Chao-Jiang Xu, The Cauchy problem for viscous shallow water equations. Rev. Mat. Iberoam. 21 (2005), no. 1, pp. 1–24DOI 10.4171/RMI/412