On nonexistence of dissipative estimates for discrete kinetic equations (Q377991)
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scientific article; zbMATH DE number 6230970
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On nonexistence of dissipative estimates for discrete kinetic equations |
scientific article; zbMATH DE number 6230970 |
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On nonexistence of dissipative estimates for discrete kinetic equations (English)
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20 November 2013
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The author studies discrete kinetic equations of gas dynamics with particles of finitely many velocities and a finite number of interactions. The model is of Broadwell type. It is shown that there is a submanifold of initial data in Sobolev space for which (global) dissipative solutions exist. Initial data deviating from this manifold give rise to a non-dissiaptive solution part in the form of traveling waves (solitons).
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Broadwell type model
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interaction operator
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soliton
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oscillation
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