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Introduction. In this communication we derive the conditions for the existence of complex-lamellar and Beltrami flows behind a three-dimensional stationary curved shock wave. It is assumed that the flow ahead of the shock is uniform and known and that dissipative mechanisms such as viscosity and thermal conduction are absent. Let Ui , p and p denote respectively the components of velocity, density and pressure of the gas. The unit vector X, normal to the shock is assumed continuously differentiable and directed downstream. Furthermore, we write

A note on Beltrami and complex-lamellar flows behind a three-dimensional curved gasdynamic shock wave