Papers by Mustafa El-Agamy
The European Physical Journal Plus, 2019
We study dimension theory for dissipative dynamical systems, proving a conditional variational pr... more We study dimension theory for dissipative dynamical systems, proving a conditional variational principle for the quotients of Birkhoff averages restricted to the recurrent part of the system. On the other hand, we show that when the whole system is considered (and not just its recurrent part) the conditional variational principle does not necessarily hold. Moreover, we exhibit an example of a topologically transitive map having discontinuous Lyapunov spectrum. The mechanism producing all these pathological features on the multifractal spectra is transience, that is, the non-recurrent part of the dynamics.
Journal of Mass Spectrometry, 2020
In this paper, we investigate the equivalence between the Backlund transformation of Riccati equa... more In this paper, we investigate the equivalence between the Backlund transformation of Riccati equation method and the extended tanh-function method. It is proved that the two methods are equivalent when applying them to partial differential equations and differential-difference equations. Two examples are introduced to justify our results.
In this article we study the heat flux distribution in skin tissues in the presence of a tumor. A... more In this article we study the heat flux distribution in skin tissues in the presence of a tumor. A five-layered two-dimensional skin geometry is considered and the bioheat transfer is modeled by Pennes equation. We propose a recovery technique that improves the accuracy and ensures the continuity of the heat flux computed using finite-element method at the different interfaces of the structure. An a posteriori error estimator is formulated using the recovered flux and is utilized to control an adaptive finite-element method. Numerical results are shown for a test example to illustrate the efficiency of the proposed approach. Then a comparison of the heat flux distribution under different circumstances that include the tumor length and volumetric heat generations is given.
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Papers by Mustafa El-Agamy