Application of Partials Differential Equations in Plasma Physics: P. 2 - Alaofi, Zaki Mrzog;Abdel Wahid, Taha Zakaraia
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Authors introduced advanced applications of partial differential equations in plasma physics using analytical methods based on Boltzmann-Maxwell equations. The book creates theoretical tools for predicting and controlling plasma behavior in many outstanding applications. To the best of our knowledge, we introduced a new mathematical model for calculating the thermodynamic forces, kinetic coefficients, and flux variables as two new scientific achievements. Second, with reasonable accuracy, we determined the equilibrium time of electrons and positive ions under an electromagnetic forces. Authors…mehr

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Produktbeschreibung
Authors introduced advanced applications of partial differential equations in plasma physics using analytical methods based on Boltzmann-Maxwell equations. The book creates theoretical tools for predicting and controlling plasma behavior in many outstanding applications. To the best of our knowledge, we introduced a new mathematical model for calculating the thermodynamic forces, kinetic coefficients, and flux variables as two new scientific achievements. Second, with reasonable accuracy, we determined the equilibrium time of electrons and positive ions under an electromagnetic forces. Authors clarify the difference between an equilibrium velocity distribution function and a perturbed one. The book introduces the extended Gibbs equation, which predicts ratios between various contributions to the internal energy change for diamagnetic and paramagnetic plasmas. A standard laboratory argon plasma model is used to apply the results. This book advances our understanding of plasma physics and holds immense potential for practical applications in aerospace engineering, plasma technology, materials science. This book lays the groundwork for future innovations and technological advance.
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Autorenporträt
Dr. Zaki Mrzog Alaofi.Assistant Professor of Mathematics. Department of Mathematics, Applied College at Mahail Aseer, King Khalid University, Saudia Arabia.Prof. Dr. Taha Z. Abdel Wahid.Associate Professor of Applied Mathematics.  Mathematics and Computer Science Department, Faculty of Science, Menoufia University, Egypt.