The blow-up of solutions for two-dimensional irrotational compressible Euler equations (Q5944193)
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scientific article; zbMATH DE number 1652785
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The blow-up of solutions for two-dimensional irrotational compressible Euler equations |
scientific article; zbMATH DE number 1652785 |
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The blow-up of solutions for two-dimensional irrotational compressible Euler equations (English)
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30 November 2002
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The paper deals with the classical solution of two-dimensional Euler equations in the case of irrotational compressible fluid occupying the whole plane. The initial data contain a small perturbation from a constant state. It is proved that the first-order derivatives of the density and velocity blow-up at the blow-up time, while the density and velocity remain continuous.
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lifespan
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commutator method
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Nash-Moser iteration
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