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24 April 2024
 
  » arxiv » 1509.0820

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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 ;
Date 2 Sep 2015
AbstractIn 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.
Source arXiv, 1509.0820
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