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The Equations of Motion in Electrodynamics
Physical Review, 1940A formulation of the equations of motion of singularities in classical electromagnetic theory is obtained. The general method introduced by Einstein, Infeld and Hoffmann leads in a simple way, without any difficulty with "infinities," to the equations of motion obtained before by Dirac. It is shown further that Dirac's introduction of the inertial term
Infeld, L., Wallace, P. R.
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The Equation of Motion of a Dislocation
Physical Review, 1953The elastic field surrounding an arbitrarily moving screw dislocation is found, and a useful analogy with two-dimensional electromagnetic fields is pointed out. These results are applied to a screw dislocation accelerating from rest and approaching the velocity of sound asymptotically.
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The Wave Equation in a Medium in Motion
IBM Journal of Research and Development, 1960A model for the transverse vibrations of a tape moving between a pair of pulleys is devised using a variational procedure. It is shown by means of energy-type integrals that the energy of that portion of the tape between the pulleys is not conserved, but that there is a periodic transfer of energy into and out of the system.
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Stochastic Equations Of Motion
2006We have already observed that the full phase space description of a system of N particles (taking all 6N coordinates and velocities into account) requires the solution of the deterministic Newton (or Schrödinger) equations of motion, while the time evolution of a small subsystem is stochastic in nature.
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Brownian Motion, Equations of Motion, and the Fokker-Planck Equations
2002The chapters which follow deal with nonequilibrium processes. First, in chapter 8, we treat the topic of the Langevin equations and the related Fokker-Planck equations. In the next chapter, the Boltzmann equation is discussed; it is fundamental for dealing with the dynamics of dilute gases and also for transport phenemona in condensed matter.
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1990
In this chapter, we collect the equations expressing the balance of mass, energy and momentum, which together with the constitutive equation, determine the motion of fluids. I have tried to suppress details of derivations that I believe are adequately explained in many books on fluid dynamics.
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In this chapter, we collect the equations expressing the balance of mass, energy and momentum, which together with the constitutive equation, determine the motion of fluids. I have tried to suppress details of derivations that I believe are adequately explained in many books on fluid dynamics.
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1993
For any model such as described in Chap. 14, it is required to calculate its bending vibrations. The displacements will be regarded as small and all relations will be assumed linear. With the aid of the transfer-matrix method of Myklestad [6] and Prohl [7] the models considered here can be solved with reasonable efficiency. This method has retained its
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For any model such as described in Chap. 14, it is required to calculate its bending vibrations. The displacements will be regarded as small and all relations will be assumed linear. With the aid of the transfer-matrix method of Myklestad [6] and Prohl [7] the models considered here can be solved with reasonable efficiency. This method has retained its
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2018
The equations of motion describe the path that a spacecraft, planet, satellite, molecule, electromagnetic wave or any body will follow. In space, the path that a spacecraft follows is called a trajectory and for a planet it is called an ephemeris. For the purpose of navigation, a planet is defined as any object that orbits the sun and thus, includes ...
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The equations of motion describe the path that a spacecraft, planet, satellite, molecule, electromagnetic wave or any body will follow. In space, the path that a spacecraft follows is called a trajectory and for a planet it is called an ephemeris. For the purpose of navigation, a planet is defined as any object that orbits the sun and thus, includes ...
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1999
In this chapter, we introduce, with particular reference to the incompressible case, the general system of Navier-Stokes equations. They are capable of describing most phenomena observed in fluid mechanics, including turbulence which is the major issue of this book. However, this system of equations is an approximation which is produced on the basis of
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In this chapter, we introduce, with particular reference to the incompressible case, the general system of Navier-Stokes equations. They are capable of describing most phenomena observed in fluid mechanics, including turbulence which is the major issue of this book. However, this system of equations is an approximation which is produced on the basis of
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