Abstract :
We study a continuous model which describes the mass transport in droplet
dispersions. The model is formulated as a conservation law with several spacevariables,
n Gn. m Hjn. q q s0, t r js1 xj
for t)0, r)0, xj)0, and mjs1 xjs1, where G,Hj js1, . . . , m.are nonlocal
functions of the unknown n t, r, x1, . . . , xm.; moreover, they have exponential
singularities at rs0. We prove global existence and uniqueness and establish
some numerical properties of the solution
