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This problem governs many physical systems occurring in diffusion problems as a particular case [6].
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Then, by using this result, the equations of motion are written leading to the problem governing equations.
Based on a certain equivalence between gradient and integral formulations, we solve the problem governing the electromechanical problem of CNTs regarded as cylinders subjected to electrostatic forces.
Assuming an energy and position dependent electron effective mass approximation this problem is governed by a rational eigenvalue problem.
In order to solve this problem numerically, governing equations were discretized using finite volume method, SIMPLE algorithm was used for pressure-velocity coupling and k − ε model was chosen as turbulent model.
For this problem, the governing equations of three-dimensional linear elasticity are employed and solved by using a new iterative approach which, in practice, leads to the prediction of the exact frequencies of vibration.
In this paper, a quadratic optimal control problem governed by a linear hyperbolic integro-differential equation and its finite element approximation are investigated for the first time.
In this paper, a quadratic optimal control problem governed by a linear quasi-parabolic integro-differential equation and its adaptive finite element approximation are investigated for the first time.
The linearization of the equations of motion about this equilibrium state yields the eigenvalue problem governing the evolution of the eigenfrequencies due to the slowly time-varying thermal gradients.
The flow is assumed to be inviscid and irrotational and this leads to a mixed boundary value problem governed by the Laplace's equation.
In this paper, the mathematical formulation for a quadratic optimal control problem governed by a linear hyperbolic integro-differential equation is established.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com