2015/09/02 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, V. Adanhounme +4
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Model Reduction and Neural Networks #Nonlinear Waves and Solitons #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1509.00820
arxiv created 2015/09/02 · arxiv updated 2015/09/03
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.