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Vol. 09, No. 10 [October 2023]
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| Paper Title | :: | Existence of Global Solutions Hs with Small Initial Conditions |
| Author Name | :: | Tran Thi Hue |
| Country | :: | Vietnam |
| Page Number | :: | 01-04 |
The Schrodinger equation is one of the most fundamental equations in quantum mechanical theory. Since the appearance of this equation, there has been a large number of works studying its properties. Previously, most of the research focused on the linear Schrodinger equation. Recently, a number of experts such as T. Kato, T. Tao, C. Kening have focused on studying nonlinear Schrodinger equations. The paper is to introduce the work of T. Kato, one of the important works in this research direction.
Key Words: Schodinger equation, linear Schodinger equation, nonlinear Schodinger equation (NLSE), global solution.
Key Words: Schodinger equation, linear Schodinger equation, nonlinear Schodinger equation (NLSE), global solution.
[1]. H. Brezis (1994), Remarks on the preceding paper by M. Ben–Artzi "Global solutions of two – dimensional Navier–Stokes and Euler equations", Arch. Rational Mech. Anal. 128, 359–360..
[2]. T. Cazenave and F. B. Weissler (1990), The Cauchy problem for the critical nonlinear Schrödinger equation in Hs, Nonliner Analysis 14, 807–836..
[3]. F. M Christ and M. I. Weinstein (1991), Dispersion of small amplitude solutions of generalized Korteweg–de Vries equation, J. Funct. Anal 100, 87–109..
[4]. A. Gulisashvili and M. A. Kon (1994), Smoothness of Schrödinger semigroups and eigenfunctions, International Math. Res. Notices, 193–199..
[5]. T. Kato (1989), Nonlinear Schrödinger equations, Lecture Notes in Physics, Vol. 345, Springer, Berlin, pp. 218–263.
[2]. T. Cazenave and F. B. Weissler (1990), The Cauchy problem for the critical nonlinear Schrödinger equation in Hs, Nonliner Analysis 14, 807–836..
[3]. F. M Christ and M. I. Weinstein (1991), Dispersion of small amplitude solutions of generalized Korteweg–de Vries equation, J. Funct. Anal 100, 87–109..
[4]. A. Gulisashvili and M. A. Kon (1994), Smoothness of Schrödinger semigroups and eigenfunctions, International Math. Res. Notices, 193–199..
[5]. T. Kato (1989), Nonlinear Schrödinger equations, Lecture Notes in Physics, Vol. 345, Springer, Berlin, pp. 218–263.
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| Paper Title | :: | Comprehensive Review on Fuel Cell Technology for Electricity Generation |
| Author Name | :: | Phanishwar Nath Shukla || Dr. Taruna Jain || Dr. A.K. Kurchania |
| Country | :: | India |
| Page Number | :: | 05-12 |
The world has been experiencing energy-related issues constantly. Scientists and researchers are actively searching for innovative, affordable, effective, and sustainable energy sources. A cost-effective, 'green', and environmentally friendly method of producing and generating power is necessary for an eco-friendly society. By 2040, fossil fuels will still produce approximately eighty percent of the world's primary energy, meeting today's global energy demand. Traditionally the fossil fuels are mainly converted into electricity and the world net electricity generation is likely to rise by 93% in 2040, due to the fast-developing countries and growing population. Thus, there is a demand to increase the efficiency of electricity production.
In addition, it is necessary to develop additional energy production resources along with current renewable energy resources. Among various technologies used nowadays, Fuel Cell (FC) appears as a promising alternative technology for electricity generation for residential and commercial sector. In recent year fuel cell (FC) technology are considered as credible energy resources on the basis of being clean, pollution-free, and efficient, including their potential to store, in the form of hydrogen, compared to other existing technologies. Based on above background, the goal of this paper is to perform the comparative analysis between different types of fuel cell and select best of them for electricity generation as well as for other commercial purposes. This review paper discusses about the potential of FC technologies for Distributed generation system. FC seems to be a good energy source to provide reliable power at a steady rate.
Key Words: Fuel Cell, Fuel Cell technology, Power generation, Renewable Energy
In addition, it is necessary to develop additional energy production resources along with current renewable energy resources. Among various technologies used nowadays, Fuel Cell (FC) appears as a promising alternative technology for electricity generation for residential and commercial sector. In recent year fuel cell (FC) technology are considered as credible energy resources on the basis of being clean, pollution-free, and efficient, including their potential to store, in the form of hydrogen, compared to other existing technologies. Based on above background, the goal of this paper is to perform the comparative analysis between different types of fuel cell and select best of them for electricity generation as well as for other commercial purposes. This review paper discusses about the potential of FC technologies for Distributed generation system. FC seems to be a good energy source to provide reliable power at a steady rate.
Key Words: Fuel Cell, Fuel Cell technology, Power generation, Renewable Energy
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[2]. Yutaro Akimotoa, Hinato Takezawab,Yosuke Iijimab, Shin-nosuke Suzukib, Keiichi Okajima, “Comparative analysis of fuel cell and battery energy systems for Internet of Things”, devices, Energy Reports 6, pp 29–35, (2020).
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[5]. Sharaf, O. Z., & Orhan, M. F. “An overview of fuel cell technology: Fundamentals and applications. Renewable and Sustainable Energy Reviews, Vol 32, pp 810– 853, 2014.
[2]. Yutaro Akimotoa, Hinato Takezawab,Yosuke Iijimab, Shin-nosuke Suzukib, Keiichi Okajima, “Comparative analysis of fuel cell and battery energy systems for Internet of Things”, devices, Energy Reports 6, pp 29–35, (2020).
[3]. Lewis J, “Stationary fuel cells e Insights into commercialization”, International Journal of Hydrogen Energy, 39(36), pp 21896–21901, 2014.
[4]. Martín, J.I. & Zamora, I. & Martín, J.J. & Aperribay, V. & Eguia, Pablo. “Performance analysis of a PEM fuel cell”. Renewable Energ and Power Quality Journal. Vol 1. pp 735-740, 2010.
[5]. Sharaf, O. Z., & Orhan, M. F. “An overview of fuel cell technology: Fundamentals and applications. Renewable and Sustainable Energy Reviews, Vol 32, pp 810– 853, 2014.