Gradient blowup without shock formation in compressible Euler flow
The well-known Guderley similarity solution provides a fundamental example of how a spherically converging shock wave can generate amplitude blowup in compressible Euler flow. Recent work has shown that the same phenomenon can occur in continuous flow. In this work, we analyze a different type of continuous similarity flows in which density, velocity, and sound speed all suffer gradient blowup at collapse, while remaining locally bounded. We give examples where, notwithstanding the presence of gradient singularities, no shock wave appears at collapse and the flow is globally continuous.
This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in [Gradient blowup without shock formation in compressible Euler flow. Physics of Fluids 36, 2 (2024)] and may be found at https://doi.org/10.1063/5.0185592.
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Work Title | Gradient blowup without shock formation in compressible Euler flow |
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License | In Copyright (Rights Reserved) |
Work Type | Article |
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Publication Date | February 27, 2024 |
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Deposited | January 29, 2025 |
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