The nonstationary Bernoulli problem with fixed boundary (Q1305332)
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scientific article; zbMATH DE number 1346234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The nonstationary Bernoulli problem with fixed boundary |
scientific article; zbMATH DE number 1346234 |
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The nonstationary Bernoulli problem with fixed boundary (English)
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30 September 1999
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The author considers a bounded two-dimensional domain partially filled with an incompressible irrotational fluid, the rest is filled with a gas at constant pressure. The behaviour of free fluid-gas interface is governed by Bernoulli law, the effects due to the surface tension are neglected. By using a comparison principle for sub- and supersolutions, the author establishes the existence of a unique global solution and investigates its regularity. The proofs are given for both stationary and nonstationary case.
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existence of unique global solution
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free fluid-gas interface
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comparison principle
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sub- and supersolutions
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regularity
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0.9251878
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0.90168875
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0.8924206
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0.8775166
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0.8772649
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0.87424093
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0.87308866
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