A Dynamical Systems Approach to Mathematical Modeling of Tornadoes
by Evelyn Lunasin   Reza Malek-Madani   Marshall Slemrod  

Vol. 11 No. 1 (2016) P.145~P.161

ABSTRACT

We present a derivation, based on asymptotic analysis of Arsen’yev’s second order ordinary differential equation, for the propagation of a boundary layer where thermal in- version occurs. The equation we obtained has one more free parameter $U_0$ than Arsen’yev’s original ODE. Our analysis suggests that this ODE is only a first order closure in what could be a hierarchal system of ODEs. The derivation and analysis of the hierarchal system would provide an appealing generalization of Arsen’yev’s ODE and could be the basis of further comparison with experimental data.

KEYWORDS
Navier-Stokes equations, tornado, thermal inversion.

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35Q30, 76D05.

MILESTONES

Received: 2015-02-24
Revised : 2015-07-14
Accepted: 2015-09-02

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