Hydrodynamics for one-dimensional identical elastic hard rods (Q1080291)
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scientific article; zbMATH DE number 3965640
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hydrodynamics for one-dimensional identical elastic hard rods |
scientific article; zbMATH DE number 3965640 |
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Hydrodynamics for one-dimensional identical elastic hard rods (English)
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1984
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Some recent results are reported, by which the general idea of the hydrodynamic limit is made into a rigorous proof for the case of an infinite system of one-dimensional elastic hard rods. A law of large numbers for particle trajectories on a macroscopic scale is proved, and, as a consequence, the ''Euler equation'' for the system is deduced. In addition an existence and uniqueness theorem for the equation is given.
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hydrodynamic limit
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infinite system of one-dimensional elastic hard rods
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particle trajectories
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Euler equation
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0.8911146
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0.8716697
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0.8607478
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0.86068255
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0.85679734
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0.8537277
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0.8530716
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