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7 results on '"Saidi, Anouar"'

1. Bargmann transform and generalized heat Cauchy problems

Author

Saidi, Anouar Abdelmajid, Mahmoud, Ahmed Yahya, and Moustapha, Mohamed Vall Ould

Subjects
Mathematics - General Mathematics, 35C05 and 35C15, Secondary: 42A38
Abstract

In this article we solve explicitly some Cauchy problems of the heat type attached to the generalized real and complex Dirac, Euler and Harmonic oscillator operators. Our principal tool is the Bargmann transform., Comment: no comments

Published
2018

2. On covariant functions and distributions under the action of a compact group

Author

Saidi, Anouar

Subjects
Mathematics - Representation Theory, 46F05, 58C99, 58C81, 58C46.
Abstract

Let $G$ be a compact subgroup of $GL_n(\R)$ acting linearly on a finite dimensional vector space $E$. B. Malgrange has shown that the space $\mathcal{C}^\infty(\R^n,E)^G$ of $\mathcal{C}^\infty$ and $G$-covariant functions is a finite module over the ring $\mathcal{C}^\infty(\R^n)^G$ of $\mathcal{C}^\infty$ and $G$-invariant functions. First, we generalize this result for the Schwartz space $\mathscr{S}(\R^n,E)^G$ of $G$-covariant functions. Secondly, we prove that any $G$-covariant distribution can be decomposed into a sum of $G$-invariant distributions multiplied with a fixed family of $G$-covariant polynomials. This gives a generalization of an Oksak result proved in ([O]).

Published
2009

3. Generalized Thermoelastic Heat Conduction Model Involving Three Different Fractional Operators.

Author

Saidi, Anouar, Yahya, Ahmed M.H, Abouelregal, Ahmed E., Dargail, Husam E., Ahmed, Ibrahim-Elkhalil, Ali, Elsiddeg, and Mohammed, F. A.

Subjects
HEAT conduction, THERMAL shock, THERMOELASTICITY
Abstract

The purpose of this paper is to introduce a new time-fractional heat conduction model with three-phase-lags and three distinct fractional-order derivatives. We investigate the introduced model in the situation of an isotropic and homogeneous solid sphere. The exterior of the sphere is exposed to a thermal shock and a decaying heat generation rate. We recuperate some earlier thermoelasticity models as particular cases from the proposed model. Moreover, the effects of different fractional thermoelastic models and the effect of instant time on the physical variables of the medium are studied. We obtain the numerical solutions for the various physical fields using a numerical Laplace inversion technique. We represent the obtained results graphically and discuss them. Physical views presented in this article may be useful for the design of new materials, bio-heat transfer mechanisms between tissues and other scientific domains. [ABSTRACT FROM AUTHOR]

Published
2023
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