What is the corresponding formula in the shallow water equations to the " (total mass/charge) t " in the Relativistic Euler-Poisson Equations .

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Laurent Gosse

It is rather natural to consider a "charge" for Euler-Poisson, but i don't see what such a "charge" may have to do with Shallow water ... Besides, total mass is preserved in Shallow water as a consequence of the continuity equation,

d\rho/dt + div(J)=0.

Mahmoud Abdelrahman

Thank you, I think the situation will differ in the presence of bottom topography.(source term). This is exactly concerning my question .