Measure-Valued Low Mach Number Limits of Ideal Fluids

As a framework for handling low Mach number limits we consider notion of measure-valued solution the incompressible Euler system which explicitly formulates usually suppressed dependence on pressure variable. We clarify in sense such is generated as limit and state sufficient conditions this convergence. For special case pressure-free solutions are able to give only itself. necessary condition obtain Jensen-type inequality. The same actually holds true weak or vanishing viscosity limits. illustrate that Jensen inequality not trivially fulfilled. Since classical always by solutions, shows our concept contains more information lead partial selection criterion solutions.