Periodic solutions to the Navier-Stokes equation for a viscous incompressible fluid and gas in space \({\mathbb{R}}^n \) (Q6060633)
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scientific article; zbMATH DE number 7760967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions to the Navier-Stokes equation for a viscous incompressible fluid and gas in space \({\mathbb{R}}^n \) |
scientific article; zbMATH DE number 7760967 |
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Periodic solutions to the Navier-Stokes equation for a viscous incompressible fluid and gas in space \({\mathbb{R}}^n \) (English)
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3 November 2023
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The author considers a periodic initial value problem for viscous incompressible flow governed by a simplefied Navier-Stokes-type system. An existence-uniqueness result is proved, establishing a classical global in time solution for any initial velocity. Then an application is discussed: a steady solution.
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Lagrangian variables
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steady-state condition
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frequency synchronization
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global-in-time existence
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uniqueness
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