Generalized Helmholtz–Kirchhoff Model for Two-Dimensional Distributed Vortex Motion
نویسندگان
چکیده
منابع مشابه
Generalized Helmholtz-Kirchhoff Model for Two-Dimensional Distributed Vortex Motion
The two-dimensional Navier-Stokes equations are rewritten as a system of coupled nonlinear ordinary differential equations. These equations describe the evolution of the moments of an expansion of the vorticity with respect to Hermite functions and of the centers of vorticity concentrations. We prove the convergence of this expansion and show that in the zero viscosity and zero core size limit ...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2009
ISSN: 1536-0040
DOI: 10.1137/080715056