Coarse-grained forms for equations describing the microscopic motion of particles in a fluid

Shankar P. Das, Akira Yoshimori

Equations of motion for the microscopic number density $\hat{\rho }(\mathbf{x},t)$ and the momentum density $\hat{\mathbf{g}}(\mathbf{x},t)$ of a fluid have been obtained in the past from the corre…