16 articles for “Evolution Equations”

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Research ArticleOpen accessIn the abstractA Brief Tour into the History of Gravity: From Emocritus to EinsteinPanagiotis Papaspirou, Xenophon MoussasThe History of Gravity encompasses many different versions of the idea of the Gravitational interaction, which starts already from the Presocratic Atomists, continues to the doctrines of the Platonic and Neoplatonic School and of the Aristotelian School, passes through the works of John Philoponus and John Bouridan and reaches the visions of Johannes Kepler and Galileo Galilei. Then, the major … …Space Science International, Vol. 1, Issue 1 · 20 Jun 2013 · 15,084 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNumerical Study of the Eulerian Correlations and Lagrangian Velocity in Stably Stratified Homogeneous TurbulenceAbdallah Jaouabi, Taieb LiliThis study is based on a linear analysis in spectral space. To express the correlation double speed using Lagrangian Dual Eulerian correlations, we use the Corrsin assumption and then we compute the components of the tensor of the square displacements means. We begin by rewriting the basic linear equations governing the evolution of double correlations spectra. Subsequently, we analyze the … …American Journal of Applied Sciences, Vol. 10, Issue 5 · 28 May 2013 · 6,492 accessesView PDF Cite

Research ArticleOpen accessIn the abstractNew Family of Exact Soliton Solutions for the Nonlinear Three-Wave Interaction EquationsSahar M. Alqaraleh, Adeeb G. TalafhaProblem statement: To obtain new exact traveling wave soliton solutions for the threewave interaction equation in a dispersive medium and a non zero phase mismatch. Approach: The tanh method is usually used to find a traveling wave analytic soliton solutions for one nonlinear wave and evolution partial differential equation. Here, we generalize this method to solve a system of nonlinear … …Journal of Mathematics and Statistics, Vol. 7, Issue 1 · 31 Jan 2011 · 7,426 accessesView PDF Cite

Research ArticleOpen accessIn the abstractCombined Thermal Radiation and Mixed Convection in an Inclined Circular DuctW. Lakhal, S. Trabelsi, E. Sediki, M. MoussaProblem statement: Modeling thermal radiation with simultaneous buoyancy and forced convection for real gases flowing inside system with complex geometry is a difficult task encountered in engineering applications. Purpose of this study was to research numerically the interaction of mixed convection and thermal radiation in laminar air flow inside an inclined cylindrical duct with Uniform Wall Heat Flux (UWHF). This … …American Journal of Engineering and Applied Sciences, Vol. 2, Issue 4 · 31 Dec 2009 · 7,292 accessesView PDF Cite

Research ArticleOpen accessIn the abstractFour Dimensional (4-D) BioChemInfoPhysics Models of Cardiac Cellular and Sub-Cellular Vibrations (Oscillations)Kang Cheng, Chang-Hua ZouProblem statement: Cardiovascular Diseases (CVD) continued to be the leading cause of death. Failure or abnormal cardiac cellular or sub-cellular vibrations (oscillations) could lead failure or abnormal heart beats that could cause CVD. Understanding the mechanisms of the vibrations (oscillations) could help to prevent or to treat the diseases. Scientists have studied the mechanisms for more than 100 years. To … …OnLine Journal of Biological Sciences, Vol. 9, Issue 2 · 15 Jun 2009 · 7,057 accessesView PDF Cite

Research ArticleOpen accessIn the abstractA New Approach to Solve Nonlinear Partial Differential EquationsAbdoul R. Ghotbi, M. A. Mohammadzade, A. Avaei, M. KeyvanipoorNonlinear phenomena play a crucial role in applied mathematics and physics. Explicit solutions to the nonlinear equations are of fundamental importance. Various methods for obtaining explicit solution to nonlinear evolution equations have been proposed. In this letter homotopy perturbation method (HPM) is employed for solving one-dimensional non-homogeneous parabolic partial differential equation with a variable coefficient and a system of nonlinear … …Journal of Mathematics and Statistics, Vol. 3, Issue 4 · 31 Dec 2007 · 6,916 accessesView PDF Cite