The Cauchy problem for viscous shallow water equations
Wang, Weike ; Xu, Chao-Jiang
Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, p. 1-24 / Harvested from Project Euclid
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In this paper we study the Cauchy problem for viscous shallow water equations. We work in the Sobolev spaces of index $s>2$ to obtain local solutions for any initial data, and global solutions for small initial data.
Publié le : 2005-03-15
Classification:  Shallow water equation,  Littlewood-Paley decomposition,  global solution,  35Q,  76D 
@article{1114176224,
     author = {Wang, Weike and Xu, Chao-Jiang},
     title = {The Cauchy problem for viscous shallow water equations},
     journal = {Rev. Mat. Iberoamericana},
     volume = {21},
     number = {2},
     year = {2005},
     pages = { 1-24},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1114176224}
}

Wang, Weike; Xu, Chao-Jiang. The Cauchy problem for viscous shallow water equations. Rev. Mat. Iberoamericana, Tome 21 (2005) no. 2, pp.  1-24. http://gdmltest.u-ga.fr/item/1114176224/