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A linear approximation for the regular reflection of a weak shock at a wedge - MaRDI portal

A linear approximation for the regular reflection of a weak shock at a wedge (Q2506415)

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A linear approximation for the regular reflection of a weak shock at a wedge
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    A linear approximation for the regular reflection of a weak shock at a wedge (English)
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    28 September 2006
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    The author considers the regular reflection of a shock by a wedge with large angle. The shock moves towards the wedge by a constant speed and reaches it by time \(t=0\). The gas ahead of the shock is at rest. By means of the special partial hodograph transformation, linearization, elliptic regularization techniques, a priori estimates, and the compactness argument the author shows that the solution to the linearized problem is smooth inside the domain and Lipschitz up to the degenerative boundary.
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    shock reflection
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    degenerative elliptic equation
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    shock wave
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    potential equation
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    regular reflection
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    partial hodograph transformation
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    linearization
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    elliptic regularization
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    compactness argument
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