We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer \(\Omega _{\delta }=(0,\delta )\times {\mathbb {R}}^2, \ \ \delta >0\). In the framework of dissipative measure-valued solutions, we show the convergence to the strong solution of the 2D incompressible Euler system when the Mach number tends to zero and \(\delta \rightarrow 0\).

中文翻译：

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可压缩的Euler系统的低马赫数和薄域限制

我们考虑可压缩的Euler系统，该系统描述了限制在直层中的理想流体的运动\（\ Omega _ {\ delta} =（0，\ delta）\ times {\ mathbb {R}} ^ 2，\ \ \ delta > 0 \）。在耗散量值解的框架中，我们显示了当马赫数趋于零和\（\ delta \ rightarrow 0 \）时，二维不可压缩Euler系统的强解的收敛性。