Existence and Uniqueness for a Boussinesq System with a Disordered Forcing
Quintero, Jose R. ; Munoz, Juan
Methods Appl. Anal., Tome 11 (2004) no. 1, p. 015-032 / Harvested from Project Euclid
We study the existence, uniqueness, regularity and continuous dependence on initial data of solutions for the Cauchy problem associated with the coupled system of Boussinesq type equations forced by highly oscillatory smooth coefficients. The model considered describes two-way propagation of long water waves with small amplitude on the surface of a one-dimensional channel with rough bottom (disordered topography). The dependent variables in this model are the wave n elevation and the potential velocity u measured at the fixed depth Z0 = square root of 2/3.
Publié le : 2004-03-14
Classification: 
@article{1118850847,
     author = {Quintero, Jose R. and Munoz, Juan},
     title = {Existence and Uniqueness for a Boussinesq System with a
Disordered Forcing},
     journal = {Methods Appl. Anal.},
     volume = {11},
     number = {1},
     year = {2004},
     pages = { 015-032},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1118850847}
}
Quintero, Jose R.; Munoz, Juan. Existence and Uniqueness for a Boussinesq System with a
Disordered Forcing. Methods Appl. Anal., Tome 11 (2004) no. 1, pp.  015-032. http://gdmltest.u-ga.fr/item/1118850847/