Existence theorems for certain kinetic equations and large data (Q1108878)
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scientific article; zbMATH DE number 4068501
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence theorems for certain kinetic equations and large data |
scientific article; zbMATH DE number 4068501 |
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Existence theorems for certain kinetic equations and large data (English)
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1988
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The author mainly analyzes the Boltzmann equation in one spatial dimension with a bounded weight function S in the collision operator. For this equation, the global \(L^ 1\)-existence and uniqueness is proved on a bounded x-interval. The theorem is proved when velocities are required to be bounded and the contribution from large velocities is treated as being a small perturbation.
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Boltzmann equation
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bounded weight function
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collision operator
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uniqueness
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0.9036494
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0.8994776
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0.8953129
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0.88348925
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0.8829489
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0.88223845
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0.8814705
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