Simplifying to Euler's equation in the limit that the viscous stress is negligible, FTP, identify the equations that comprise the momentum balance for a fluid element and are named for named for a French engineer and British mathematician.
All known solutions of these satisfy the Clausius-Duhem entropy inequality and are only valid when there exists thermodynamic equilibrium over sufficient time and length scales. Derived in their most common scalar form by substituting the Newtonian stress tensor into the Cauchy momentum equation, examples of exact analytic solutions to them, which are generally only attainable under unrealistic assumptions, include the equations for Couette and Hagen-Poiselle flow. Simplifying to Euler's equation in the limit that the viscous stress is negligible, FTP, identify the equations that comprise the momentum balance for a fluid element and are named for named for a French engineer and British mathematician.
All known solutions of these satisfy the Clausius-Duhem entropy inequality and are only valid when there exists thermodynamic equilibrium over sufficient time and length scales.
Navier-Stokes equation(s)