Mach limits in analytic spaces on exterior domains

<p style='text-indent:20px;'>We address the Mach limit problem for Euler equations in an exterior domain with analytic boundary. We first prove existence of tangential vector fields constant analyticity radii and introduce norm which we distinguish derivatives taken from different directions. Then uniform boundedness solutions space on a time interval independent number, holds norm. The results extend more generally to Gevrey initial data convergence norm.</p>