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Shock formation and breaking in granular avalanches - MaRDI portal

Shock formation and breaking in granular avalanches (Q972048)

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scientific article; zbMATH DE number 5711101
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Shock formation and breaking in granular avalanches
scientific article; zbMATH DE number 5711101

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    Shock formation and breaking in granular avalanches (English)
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    25 May 2010
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    The authors explore properties of shock wave solutions of the Gray-Thornton model for particle size segregation in granular avalanches. They give the criteria on smooth initial data under which a shock wave arises in the interior of avalanche. It is shown that shocks typically lose stability as they are sheared by the flow, giving way to a complex structure including a rarefaction wave interacted with a pair of shocks. The detailed description of this structure is given.
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    avalanches
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    Gray-Thornton model
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    conservation laws
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    granular materials
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    segregation
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    rarefaction wave
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