Results 321 to 330 of about 8,273,887 (381)
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1992
In this chapter we define many of the standard control problems whose numerical solutions will concern us in the subsequent chapters. Other, less familiar control problems will be discussed separately in later chapters. We will first define cost functionals for uncontrolled processes, and then formally discuss the partial differential equations which ...
Harold J. Kushner, Paul G. Dupuis
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In this chapter we define many of the standard control problems whose numerical solutions will concern us in the subsequent chapters. Other, less familiar control problems will be discussed separately in later chapters. We will first define cost functionals for uncontrolled processes, and then formally discuss the partial differential equations which ...
Harold J. Kushner, Paul G. Dupuis
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Efficient dynamical equations for gyrostats
Journal of Guidance, Control, and Dynamics, 2001To formulate equations of motion, the analyst must choose constants that characterize the mass distribution of system components. Traditionally, one chooses as constants the mass of each particle and the mass and central inertia scalars of each rigid body.
Paul C. Mitiguy, Keith J. Reckdahl
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Kinetic equations modelling population dynamics
Transport Theory and Statistical Physics, 2000Abstract This paper deals with the analysis of a class of models of population dynamics with competition and kinetic interactions. Several models are proposed to describe the dynamics of large populations of individuals undergoing kinetic (stochastic) interactions which modify the states of the interacting pair.
ARLOTTI, Luisa, BELLOMO N., LACHOWICZ M.
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Dynamical equation for polarization dispersion
Optics Letters, 1991Polarization dispersion in single-mode fiber that contains arbitrary birefringence is described through a vector differential equation. Monte-Carlo simulations using this equation show good agreement with experimental measurements in a randomly birefringent fiber and with a previously reported analytic expression for the length dependence of the ...
C D, Poole, J H, Winters, J A, Nagel
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The equations of dynamics (review)
Soviet Applied Mechanics, 1973Summary: Studies of dynamic processes occurring in various natural phenomena (including mechanical processes) always have been, and are, timely problems of theoretical and practical interest. The successful solution of these problems requires daily refinement of existing investigative techniques and the introduction of new methods which give positive ...
Fradlin, B. N., Roshchupkin, L. D.
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2003
In this chapter we consider several dynamic equations and present methods on how to solve these equations. Among them are linear equations of higher order, Euler-Cauchy equations of higher order, logistic equations (or Verhulst equations), Bernoulli equations, Riccati equations, and Clairaut equations.
Elvan Akin-Bohner, Martin Bohner
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In this chapter we consider several dynamic equations and present methods on how to solve these equations. Among them are linear equations of higher order, Euler-Cauchy equations of higher order, logistic equations (or Verhulst equations), Bernoulli equations, Riccati equations, and Clairaut equations.
Elvan Akin-Bohner, Martin Bohner
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2001
This chapter proposes a synthetized approach of Lagrange dynamic equations. It deals with the initial formlism based on kinetik and potential energy, and presents the extension to the energy of Hamilton. The prime integrals of motion are presented, with the systematic classification of forces.
Bucur, P. +2 more
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This chapter proposes a synthetized approach of Lagrange dynamic equations. It deals with the initial formlism based on kinetik and potential energy, and presents the extension to the energy of Hamilton. The prime integrals of motion are presented, with the systematic classification of forces.
Bucur, P. +2 more
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2009
Abstract This article is a comprehensive collection of fluid dynamic equations for properties of fluids, fluid statics, fluid motion, dimensional analysis, and boundary layer flow. It presents equations for analyzing problems in fluid mechanics, continuity equation, momentum equation, and energy equation for solving various problems ...
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Abstract This article is a comprehensive collection of fluid dynamic equations for properties of fluids, fluid statics, fluid motion, dimensional analysis, and boundary layer flow. It presents equations for analyzing problems in fluid mechanics, continuity equation, momentum equation, and energy equation for solving various problems ...
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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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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, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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