Singular limits in fluid dynamics (Q1915402)

The author considers the equations of motion of a compressible fluid under the correlation \(p= \lambda^2 p(\rho)\), where \(p\) is pressure and \(\rho\) is density. The parameter \(\lambda\) goes to infinity, and the theorem on convergence of solution of compressible fluid equations to incompressible ones is proved. This corresponds to tending the Mach number to zero.