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Time Varying Fields and Maxwell’s Equations
Upto now for static electric field, charges are at rest and the static magnetic field is due to the steady current. We have attained the following...
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Time-Varying Fields and Maxwell’s Equations
Until now, we have devoted ourselves to static electric and magnetic fields that are time invariant.
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Maxwell’s Equations
Most students in engineering and science have heard the term “Maxwell’s equations,” and some may also have heard that Maxwell’s equations “describe...
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Prediction of Saturation Pressures from Serrin’s Equation of State Using the Generalized Maxwell’s Rule
A four-parameter equation of state proposed by Serrin is investigated for its ability to predict accurately the saturation pressures of pure...
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Long-time behaviour of the solution of Maxwell’s equations in dissipative generalized Lorentz materials (I): a frequency-dependent Lyapunov function approach
It is well known that electromagnetic dispersive structures such as metamaterials can be modelled by generalized Drude–Lorentz models. The present...
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Excitation Equations for Irregular Waveguides Taking into Account the Finite Wall Conductivity and Their Application for Ultrahigh-Power Microwave Problems. Part 1
AbstractThe article formulates equations for longitudinally irregular waveguide excitation by three-dimensionally phased electron flows taking into...
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The Elastic Dielectric Response of Elastomers Filled with Liquid Inclusions: From Fundamentals to Governing Equations
Over the past decade, soft solids containing electro-and magneto-active liquid—as opposed to solid—inclusions have emerged as a new class of smart...
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Physics-enhanced deep surrogates for partial differential equations
Many physics and engineering applications demand partial differential equations (PDE) property evaluations that are traditionally computed with...
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To Development of Improved Engineering Calculation Methods: Features of Applying Field Equations
Methods for calculating the asynchronous machine are based on determining the resulting magnetic field created by the currents flowing in the stator...
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Mathematical Modeling of Electromagnetic Fields of Antenna Arrays
AbstractA general method for mathematical modeling of the electromagnetic field emitted by infinite phase-scanned antenna arrays is proposed. Using...
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Generalized homotopy perturbation approach: an application to wave partial differential equations
In the present study, we employed an analytical technique in order to determine the approximate/exact solutions to the distinct kind of partial...
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Fundamental Equations: Continuum Mechanics and Lattice Boltzmann Models
The four fundamental equations of continuum mechanics are the conservation of mass, the balance of linear momentum leading to the existence of the...
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Interconnections of Basic Physical Phenomena: Kirchhoff’s Equations
The electromechanical processes taking place in the electric machine can be considered as a result of the action of the basic physical phenomena...
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Basic Antenna Elements
Antenna problems, free space radio frequency and optical wave propagation, multipath propagation or scattering problems can be analyzed by using...
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Introduction to Electromagnetic Wave Propagation
Maxwell’s equations are the governing equations to analyze all electromagnetic wave propagation problems, from RF radio waves used in cellular mobile...
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On a New Theory of the Cosserat Continuum with Applications in Electrodynamics
We consider an elastic Cosserat continuum of a special type. Next we suggest analogies between quantities characterizing the stress–strain state of...
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Dispersion Interaction between Bodies of an Arbitrary Shape
AbstractA new method for determining the dispersion interaction between arbitrary bodies of an arbitrary shape, based on the theory of excitation of...
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The symmetrical rate-equations of particle–wave mechanics
At various times in his life, Louis de Broglie firmly believed in the coexistence of both particle and an associated wave referring to “the theory of...
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On a Steklov Spectrum in Electromagnetics
After presenting various concepts and results concerning the classical Steklov eigenproblem, we focus on time-harmonic Maxwell’s equations in a...
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Critical assessment of the lattice Boltzmann method for cavitation modelling based on single bubble dynamics
The lattice Boltzmann Method (LBM) is recognised as a popular technique for simulating cavitation bubble dynamics due to its simplicity. In the...
