6533b824fe1ef96bd1280c5d
RESEARCH PRODUCT
Vortex layers of small thickness
Russel E. CaflischMarco SammartinoMaria Carmela Lombardosubject
Condensed matter physicsApplied MathematicsGeneral MathematicsVortex layer vortex sheet Birkhoff-Rott equationsSettore MAT/07 - Fisica MatematicaMathematicsVortexdescription
We consider a 2D vorticity configuration where vorticity is highly concentrated around a curve and exponentially decaying away from it: the intensity of the vorticity is $O(1/epsilon)$ on the curve while it decays on an $O(epsilon)$ distance from the curve itself. We prove that, if the initial datum is of vortex-layer type, Euler solutions preserve this structure for a time which does not depend on $epsilon$. Moreover the motion of the center of the layer is well approximated by the Birkhoff-Rott equation.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-05-06 |