Gradient blowup without shock formation in compressible Euler flow
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DOI: 10.1063/5.0185592
Abstract: 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… read more here.
Keywords: euler flow; blowup; gradient blowup; compressible euler ... See more keywords
Existence of a conjugate point in the incompressible Euler flow on an ellipsoid
Sign Up to like & getrecommendations! Published in 2021 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/83868386
Abstract: Existence of a conjugate point in the incompressible Euler flow on a sphere and an ellipsoid is considered. Misiolek (1996) proposed a criterion (we call M-criterion) which is a reasonable sufficient condition of the existence… read more here.
Keywords: euler flow; flow; conjugate point; existence conjugate ... See more keywords