Transport equations due to the non-Lipschitzian vector fields and fluid mechanics (Q1337974)
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scientific article; zbMATH DE number 687668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Transport equations due to the non-Lipschitzian vector fields and fluid mechanics |
scientific article; zbMATH DE number 687668 |
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Transport equations due to the non-Lipschitzian vector fields and fluid mechanics (English)
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5 December 1994
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The authors study the properties of transport equations due to logarithmic Lipschitzian vector fields, i.e. equations of the type \(\partial_ tf + \text{div} (fv) = g\), \(f |_{t=0} = f_ 0\). They prove the existence of a unique solution in certain function spaces and show that such vector fields possess a flow whose Hölder regularity is exponentially decreasing.
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logarithmic Lipschitzian vector fields
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existence
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unique solution
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Hölder regularity
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