Geodesic
On the vanishing viscosity in the Cauchy problem for the equations of a nonhomogeneous incompressible fluid
Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 123-129

Voir la notice de l'article provenant de la source Cambridge University Press

Let us consider the Cauchy problemin QT= R3 × [0, T], where f(x, t), ρ0(x) and v0(x) are given, while the density ρ(x, t), the velocity vector v(x, t)= (υ1(x, t), υ2(x, t), υ3(x, t)) and the pressure p(x, t) are unknowns. The viscosity coefficient μ is assumed to be nonnegative. In these equations, the pressure p is automatically determined (up to a function of t) by ρ and v, namely, by solving the equationThus we mention (ρ, v) when we talk about the solution of (1.1:μ). 
Itoh, Shigeharu. On the vanishing viscosity in the Cauchy problem for the equations of a nonhomogeneous incompressible fluid. Glasgow mathematical journal, Tome 36 (1994) no. 1, pp. 123-129. doi: 10.1017/S0017089500030639
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