2010, 1, ISBN 9780470542767, xviii, 290

Book

2012, Graduate studies in mathematics, ISBN 9780821875766, Volume 135, xviii, 377

Book

2008, Student's Guides, ISBN 9780521701471, ix, 134

Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in...

Maxwell equations

Maxwell equations

Book

2005, 3rd ed., Artech House antennas and propagation library, ISBN 9781580538329, xxii, 1006

Book

Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 02/2019, Volume 224, pp. 25 - 36

In this paper, the vector radiative transfer equation is derived by means of the vector integral Foldy equations describing the electromagnetic scattering by a...

Discrete random media | Dyson equation | Electromagnetic scattering | Bethe–Salpeter equation | Radiative transfer theory | Frequency-domain macroscopic electromagnetics | SPECTROSCOPY | OPTICS | Bethe-Salpeter equation | SCATTERING

Discrete random media | Dyson equation | Electromagnetic scattering | Bethe–Salpeter equation | Radiative transfer theory | Frequency-domain macroscopic electromagnetics | SPECTROSCOPY | OPTICS | Bethe-Salpeter equation | SCATTERING

Journal Article

2001, A Wiley-Interscience publication, ISBN 0471406341, 275

A complete survey of modern design and analysis techniques for optical waveguides This volume thoroughly details modern and widely accepted methods for...

Mathematical models | Optical wave guides | Maxwell equations | Schrödinger equation | Schrodinger equation

Mathematical models | Optical wave guides | Maxwell equations | Schrödinger equation | Schrodinger equation

eBook

2007, Lecture notes in physics, ISBN 9783540712923, Volume 722., xiv, 445

Maxwell, Dirac and Einstein's equations are certainly among the most imp- tant equations of XXth century Physics and it is our intention in this book to 1...

Space and time | Geometry, Differential | Dirac equation | Relativity (Physics) | Maxwell equations | Mathematical physics | Einstein field equations | Mathematical Methods in Physics | Differential Geometry | Relativity and Cosmology | Physics

Space and time | Geometry, Differential | Dirac equation | Relativity (Physics) | Maxwell equations | Mathematical physics | Einstein field equations | Mathematical Methods in Physics | Differential Geometry | Relativity and Cosmology | Physics

Book

Physics Reports, ISSN 0370-1573, 02/2013, Volume 523, Issue 2, pp. 61 - 126

In the past years there was a huge interest in experimental and theoretical studies in the area of few-optical-cycle pulses and in the broader fast growing...

Few-cycle dissipative solitons | Generalized Kadomtsev–Petviashvili equation | Two-level atoms | Circular polarization | Maxwell–Bloch equations | Few-optical-cycle solitons | Modified Korteweg–de Vries equation | Density matrix | Long-wave approximation | Few-cycle pulses | Reductive perturbation method | Half-cycle optical solitons | Short-wave approximation | Unipolar pulses | Few-cycle light bullets | Linear polarization | Sine–Gordon equation | Complex modified Korteweg–de Vries equation | Modified Korteweg-de Vries equation | Generalized Kadomtsev-Petviashvili equation | Complex modified Korteweg-de Vries equation | Sine-Gordon equation | Maxwell-Bloch equations | ULTRA-SHORT PULSES | SELF-INDUCED TRANSPARENCY | SOLITARY-WAVE SOLUTIONS | QUADRATIC NONLINEAR MEDIA | PHYSICS, MULTIDISCIPLINARY | DE-VRIES EQUATION | KADOMTSEV-PETVIASHVILI EQUATION | SINE-GORDON EQUATIONS | TI-SAPPHIRE LASER | SHORT ELECTROMAGNETIC PULSES | SHORT-PULSE EQUATION | Analysis | Models | Wave propagation

Few-cycle dissipative solitons | Generalized Kadomtsev–Petviashvili equation | Two-level atoms | Circular polarization | Maxwell–Bloch equations | Few-optical-cycle solitons | Modified Korteweg–de Vries equation | Density matrix | Long-wave approximation | Few-cycle pulses | Reductive perturbation method | Half-cycle optical solitons | Short-wave approximation | Unipolar pulses | Few-cycle light bullets | Linear polarization | Sine–Gordon equation | Complex modified Korteweg–de Vries equation | Modified Korteweg-de Vries equation | Generalized Kadomtsev-Petviashvili equation | Complex modified Korteweg-de Vries equation | Sine-Gordon equation | Maxwell-Bloch equations | ULTRA-SHORT PULSES | SELF-INDUCED TRANSPARENCY | SOLITARY-WAVE SOLUTIONS | QUADRATIC NONLINEAR MEDIA | PHYSICS, MULTIDISCIPLINARY | DE-VRIES EQUATION | KADOMTSEV-PETVIASHVILI EQUATION | SINE-GORDON EQUATIONS | TI-SAPPHIRE LASER | SHORT ELECTROMAGNETIC PULSES | SHORT-PULSE EQUATION | Analysis | Models | Wave propagation

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 2008, Volume 345, Issue 1, pp. 90 - 108

In this paper we study the nonlinear Schrödinger–Maxwell equations If is a positive constant, we prove the existence of a ground state solution for . The...

Nonlinear Schrödinger–Maxwell equations | Ground state solutions | Nonlinear Schrödinger-Maxwell equations | SYSTEM | EXISTENCE | MATHEMATICS, APPLIED | KLEIN-GORDON-MAXWELL | SCALAR FIELD-EQUATIONS | NONEXISTENCE | nonlinear schrodinger-maxwell equations | COMPETING POTENTIAL FUNCTIONS | POSITIVE SOLUTIONS | CALCULUS | ground state solutions | CONCENTRATION-COMPACTNESS PRINCIPLE | MATHEMATICS | MULTIPLE SOLITARY WAVES

Nonlinear Schrödinger–Maxwell equations | Ground state solutions | Nonlinear Schrödinger-Maxwell equations | SYSTEM | EXISTENCE | MATHEMATICS, APPLIED | KLEIN-GORDON-MAXWELL | SCALAR FIELD-EQUATIONS | NONEXISTENCE | nonlinear schrodinger-maxwell equations | COMPETING POTENTIAL FUNCTIONS | POSITIVE SOLUTIONS | CALCULUS | ground state solutions | CONCENTRATION-COMPACTNESS PRINCIPLE | MATHEMATICS | MULTIPLE SOLITARY WAVES

Journal Article

1988, ISBN 9782881246623, xi, 504

Book

Communications in Mathematical Physics, ISSN 0010-3616, 9/2014, Volume 330, Issue 3, pp. 1179 - 1225

In this paper we deal with weak solutions to the Maxwell–Landau–Lifshitz equations and to the Hall–Magneto–Hydrodynamic equations. First we prove that these...

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | EXISTENCE | NONUNIQUENESS | INCOMPRESSIBLE EULER | NAVIER-STOKES EQUATIONS | CONSERVATION | DIMENSION | IDEAL HYDRODYNAMICS | ENERGY-DISSIPATION | PHYSICS, MATHEMATICAL | EULER EQUATIONS | CONJECTURE | Mathematics - Analysis of PDEs | Analysis of PDEs | Mathematics

Journal Article

1987, Mathematics and its applications. (Soviet series), ISBN 9789027723208, Volume MASS8., xiv, 214

Book

Journal of Mathematical Physics, ISSN 0022-2488, 11/2019, Volume 60, Issue 11, p. 113503

By fixing a reference frame in spacetime, it is possible to split the Euler-Lagrange equations associated with a degenerate Lagrangian into purely evolutionary...

Magnetic flux | Electrodynamics | Inertial reference systems | Mathematical analysis | Spacetime | Maxwell's equations | Euler-Lagrange equation

Magnetic flux | Electrodynamics | Inertial reference systems | Mathematical analysis | Spacetime | Maxwell's equations | Euler-Lagrange equation

Journal Article

2003, Numerical mathematics and scientific computation, ISBN 9780198508885, xiv, 450

Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an...

Finite element method | Mathematical models | Electromagnetism | Maxwell equations | Mathematics

Finite element method | Mathematical models | Electromagnetism | Maxwell equations | Mathematics

Book

16.
Macroscopic transport equations for rarefied gas flows

: approximation methods in kinetic theory

2005, Interaction of mechanics and mathematics series, ISBN 3540245421, xiv, 258

Rarefied gas dynamics | Engineering | Thermodynamics | Physics and Applied Physics in Engineering | Applications of Mathematics | Statistical Physics | Engineering Thermodynamics, Transport Phenomena | Complex Systems | Engineering Thermodynamics, Heat and Mass Transfer | Engineering, general | Statistical Physics and Dynamical Systems

Book

1994, Inverse and ill-posed problems series., ISBN 9789067641722, iii, 249

Book

1985, Student monographs in physics., ISBN 9780852747780, viii, 54

Book

Annals of Physics, ISSN 0003-4916, 08/2015, Volume 359, pp. 97 - 114

Under investigation in this paper are the inhomogeneous nonlinear Schrödinger Maxwell–Bloch (INLS-MB) equations which model the propagation of optical waves in...

Inhomogeneous nonlinear Schrödinger Maxwell–Bloch equation | [formula omitted]-fold variable-coefficient modified Darboux transformation | Higher-order nonautonomous rogue wave | Breather interaction | Inhomogeneous nonlinear Schrödinger Maxwell-Bloch equation | N-fold variable-coefficient modified Darboux transformation | SYSTEM | DARBOUX TRANSFORMATION | VARIABLE DISPERSION | PHYSICS, MULTIDISCIPLINARY | OPTICAL SOLITON PROPAGATION | Inhomogeneous nonlinear Schrodinger Maxwell-Bloch equation | INDUCED-TRANSPARENCY SOLITON | PULSES | COEXISTENCE | TRANSMISSION | DISPERSIVE DIELECTRIC FIBERS | Water waves | Analysis | Nonlinear equations | Physics | Wave power

Inhomogeneous nonlinear Schrödinger Maxwell–Bloch equation | [formula omitted]-fold variable-coefficient modified Darboux transformation | Higher-order nonautonomous rogue wave | Breather interaction | Inhomogeneous nonlinear Schrödinger Maxwell-Bloch equation | N-fold variable-coefficient modified Darboux transformation | SYSTEM | DARBOUX TRANSFORMATION | VARIABLE DISPERSION | PHYSICS, MULTIDISCIPLINARY | OPTICAL SOLITON PROPAGATION | Inhomogeneous nonlinear Schrodinger Maxwell-Bloch equation | INDUCED-TRANSPARENCY SOLITON | PULSES | COEXISTENCE | TRANSMISSION | DISPERSIVE DIELECTRIC FIBERS | Water waves | Analysis | Nonlinear equations | Physics | Wave power

Journal Article

20.
Full Text
Cauchy problem for the nonlinear Klein–Gordon equation coupled with the Maxwell equation

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2016, Volume 443, Issue 2, pp. 778 - 796

In this paper, we study the nonlinear Klein–Gordon equation coupled with a Maxwell equation. Using the energy method, we obtain a local existence result for...

Klein–Gordon–Maxwell system | Energy method | Symmetric hyperbolic system | Cauchy problem | Klein-Gordon-Maxwell system | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | SOLITARY WAVES | Analysis of PDEs | Mathematics

Klein–Gordon–Maxwell system | Energy method | Symmetric hyperbolic system | Cauchy problem | Klein-Gordon-Maxwell system | EXISTENCE | SYSTEM | MATHEMATICS | MATHEMATICS, APPLIED | SOLITARY WAVES | Analysis of PDEs | Mathematics

Journal Article

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