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arXiv · 1509.00820

Solving Navier-Stokes equations coupled with a heat transfer equation using Bagarello's approach and the Hankel transform

Mahouton Norbert Hounkonnou·Villevo Adanhounme·Jean Ghislain Compaore
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Abstract

In this paper, the dynamics of an incompressible fluid in a bounded connected domain, described by Navier-Stokes equations coupled with a heat transfer equation, is investigated by a method inspired from the non-commutative strategy developed by Bagarello, (see Int. Jour. of Theoretical Physics, 43, issue 12 (2004), p. 2371 - 2394).The solution of involved systems of partial differential equations is derived with the help of the unbounded self-adjoint densely defined Hamiltonian operator of the physical model and the Hankel transform.

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Mahouton Norbert Hounkonnou, Villevo Adanhounme, Jean Ghislain Compaore. 2015-09-02. Solving Navier-Stokes equations coupled with a heat transfer equation using Bagarello's approach and the Hankel transform. https://arxiv.org/abs/1509.00820

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