Helical vortices with small cross-section for 3D incompressible Euler equation
نویسندگان
چکیده
In this article, we construct traveling-rotating helical vortices with small cross-section to the 3D incompressible Euler equations in an infinite pipe, which tend asymptotically singular vortex filament evolved by binormal curvature flow. The construction is based on studying a general semilinear elliptic problem divergence form{??2div(K(x)?u)=(u?q|ln??|)+p,x??,u=0,x???, for values of ?. Helical solutions concentrating near several filaments polygonal symmetry are also constructed.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2022.109836