A kinetic model for vehicular traffic: Existence of stationary solutions (Q1305468)
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scientific article; zbMATH DE number 1346380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A kinetic model for vehicular traffic: Existence of stationary solutions |
scientific article; zbMATH DE number 1346380 |
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A kinetic model for vehicular traffic: Existence of stationary solutions (English)
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17 December 2000
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For a new kinetic multilane model for vehicular traffic (Klar/Wegener 1999) theoretical results for the space homogeneous kinetic equation are presented. An investigation of this equation leads to a boundary value problem for an ordinary differential equation. In some special case (\(k = 1\)) the existence of stationary solutions is proved by applying the Schauder theorem. In the final section some numerical results are presented.
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existence of stationary solutions
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kinetic models
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ordinary differential equations
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boundary value problem
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Schauder theorem
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