Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations (Q605104)
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scientific article; zbMATH DE number 5818410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations |
scientific article; zbMATH DE number 5818410 |
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Global existence of solutions to the periodic initial value problems for two-dimensional Newton-Boussinesq equations (English)
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23 November 2010
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A class of periodic initial value problems for two-dimensional Newton-Boussinesq equations are investigated. The equations are turned into equivalent integral equations. With iterations methods, the local existence of the solutions is obtained. Using the method of a priori estimates, the global existence of the solution is proved.
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iteration methods
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method of a priori estimates
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