STUDY OF THE EXISTENCE OF THE GLOBAL SOLUTION TO THE SYSTEM OF EQUATIONS OF THE VERTICAL MOTION OF THE AIR IN A CHIMNEY

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Abstract

In this paper, we consider the system of equations that describes air motion in a chimney. By introducing a method based on the «second approximation», we prove a theorem on the existence and uniqueness of the global solution.

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In [1] we have constructed a numerical solution to the system of equations describing the chimney’s air motion caused by the latent heat of condensing water vapor. The numerical construction of the solution has been made by using the approximation of separating the temporal evolution and the vertical structure. However the question of the existence and uniqueness of the solution of this system of equations, including that of the sub-system for the vertical structure, has not been solved yet.
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About the authors

Sarra Ghomrani

Ecole Normale Superieure Des Enseignants Messaoud Zeggar

Email: sarra.ghomrani@hotmail.fr
Doctor Setif 19000, Algeria

References

  1. Ghomrani S., Marin Antuna J., Fujita Yashima H. Un modelo de la subida del aire ocasionada por la condensaci´on del vapor y su c´alculo num´erico. Rev. Cuba Fis., 2015, vol. 32, pp. 3-8.
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