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Global subsonic compressible flows through a two-dimensional periodic duct

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Abstract

We deal with two-dimensional compressible potential subsonic flows in an infinitely long duct with periodic walls. It is shown that there exists a critical value of mass flux: If the incoming mass flux is less than the critical value, then the flow is also periodic. Existence, uniqueness and regularity of the periodic solution are obtained by techniques of elliptic equations.

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  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai, 200240, China

    Li Liu

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  1. Li Liu
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Correspondence to Li Liu.

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Liu, L. Global subsonic compressible flows through a two-dimensional periodic duct. Rend. Circ. Mat. Palermo 58, 407–417 (2009). https://doi.org/10.1007/s12215-009-0031-1

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  • DOI: https://doi.org/10.1007/s12215-009-0031-1

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