A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation (Q1058929)

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scientific article; zbMATH DE number 3902296
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A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation
scientific article; zbMATH DE number 3902296

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    A technique for time-dependent boundary value problems in the kinetic theory of gases. II. Application to sound propagation (English)
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    1984
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    A technique for time-dependent boundary value problems in the kinetic theory of gases employed earlier in part I [the authors, ibid., 127-143 (1984; Zbl 0545.76078)] is used, to determine a canonical solution of the matrix Riemann-Hilbert problem for sound propagation in a half space of a gas driven by an oscillating infinite plate. The closed form solution is computed numerically for three particular values of the sound frequency. The results compare favourably with a previously known numerical solution.
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    time-dependent boundary value problems
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    canonical solution
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    matrix Riemann-Hilbert problem
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    sound propagation in a half space
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    oscillating infinite plate
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