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The Dynamical Equations

2005
Abstract Modern derivations of the fundamental equations for non-viscous fluids have an air of evidence. The fluid is divided into volume elements, and the acceleration of a volume element is equated to a force divided by a mass. The force on the element dτ is the sum of an external action fdτ (e.g. gravity) and of the resultant -( ▽P)dt
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The General Equations of Analytical Dynamics

Journal of Applied Mathematics and Mechanics, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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New dynamical equation for cracks

Physical Review Letters, 1991
Summary: If a long-standing selection problem in brittle fracture is to be resolved, one must begin with dynamical equations suited to comparison with experiment. Such an equation is derived here in closed form by finding the energy flux to the tip of a slowly accelerating crack in a brittle strip.
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Dynamics of non‐linear wave equations

Mathematical Methods in the Applied Sciences, 2004
AbstractWe present several stability/instability results for the ground‐state standing waves and high‐energy‐bound‐state standing waves for the NLKG, NLS and NLDW equations. At the end of the paper we present a number of open problems. Copyright © 2004 John Wiley & Sons, Ltd.
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Ordinary Differential Equations: Dynamical Systems

2007
Ordinary differential equations (ode) are differential equations for functions which depend on one independent variable only. These ‘odes’ are simpler than partial differential equations which contain more than one independent variable. In almost all models or simulations independent variables are either time and/or space.
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Dynamical Equations

1988
Robert E. Roberson, Richard Schwertassek
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DYNAMICAL METEOROLOGY | Primitive Equations

2015
A.A. White, N. Wood
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An Adaptive Gradient Neural Network to Solve Dynamic Linear Matrix Equations

IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2022
Shan Liao, 一萌 齐, Haoen Huang
exaly  

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