Steady vortex patches near a nontrivial irrotational flow
نویسندگان
چکیده
منابع مشابه
EXISTENCE OF A STEADY FLOW WITH A BOUNDED VORTEX IN AN UNBOUNDED DOMAIN
We prove the existence of steady 2-dimensional flows, containing a bounded vortex, and approaching a uniform flow at infinity. The data prescribed is the rearrangement class of the vorticity field. The corresponding stream function satisfies a semilinear elliptic partial differential equation. The result is proved by maximizing the kinetic energy over all flows whose vorticity fields are rearra...
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ژورنال
عنوان ژورنال: Science China Mathematics
سال: 2019
ISSN: 1674-7283,1869-1862
DOI: 10.1007/s11425-018-9495-1