The Cauchy problem for a non-conservative compressible two-fluid model with far field vacuum in three dimensions (Q6144336)
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scientific article; zbMATH DE number 7796352
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem for a non-conservative compressible two-fluid model with far field vacuum in three dimensions |
scientific article; zbMATH DE number 7796352 |
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The Cauchy problem for a non-conservative compressible two-fluid model with far field vacuum in three dimensions (English)
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29 January 2024
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The authors consider a 3D multi-phase model with two sets of conservation laws for the components. The components' velocities are not assumed to be equal. The aim is the well-posedness in the case when density and the volume fraction might vanish. The initial condition is vanishing at infinity and obey reglarity conditions: the components belong to certain functional spaces. The authors prove the existence of a strong local (in time) solution that obeys some regularity condition.
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conservation law system
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degenerate viscosity
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far field vacuum
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well-posedness
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strong local-in-time solution existence
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regularity condition
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