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result(s) for
"Maxwell"
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Global Well-Posedness of High Dimensional Maxwell–Dirac for Small Critical Data
by
Gavrus, Cristian
,
Oh, Sung-Jin
in
Differential equations, Partial
,
Dirac equation
,
Equations of mathematical physics and other areas of application [See also 35J05, 35J10, 35K05, 35L05]
2020
In this paper, the authors prove global well-posedness of the massless Maxwell-Dirac equation in the Coulomb gauge on \\mathbb{R}^{1+d} (d\\geq 4) for data with small scale-critical Sobolev norm, as well as modified scattering of the solutions. Main components of the authors' proof are A) uncovering null structure of Maxwell-Dirac in the Coulomb gauge, and B) proving solvability of the underlying covariant Dirac equation. A key step for achieving both is to exploit (and justify) a deep analogy between Maxwell-Dirac and Maxwell-Klein-Gordon (for which an analogous result was proved earlier by Krieger-Sterbenz-Tataru, which says that the most difficult part of Maxwell-Dirac takes essentially the same form as Maxwell-Klein-Gordon.
Advances in FDTD computational electrodynamics : photonics and nanotechnology
by
Oskooi, Ardavan
,
Johnson, Steven G.
,
Taflove, Allen
in
Electromagnetism
,
Mathematical models
,
Maxwell equations
2013
Advances in photonics and nanotechnology have the potential to revolutionize humanity's ability to communicate and compute. To pursue these advances, it is mandatory to understand and properly model interactions of light with materials such as silicon and gold at the nanoscale, i.e., the span of a few tens of atoms laid side by side. These interactions are governed by the fundamental Maxwell's equations of classical electrodynamics, supplemented by quantum electrodynamics.This book presents the current state-of-the-art in formulating and implementing computational models of these interactions. Maxwell's equations are solved using the finite-difference time-domain (FDTD) technique, pioneered by the senior editor, whose prior Artech House books in this area are among the top ten most-cited in the history of engineering. You discover the most important advances in all areas of FDTD and PSTD computational modeling of electromagnetic wave interactions.This cutting-edge resource helps you understand the latest developments in computational modeling of nanoscale optical microscopy and microchip lithography. You also explore cutting-edge details in modeling nanoscale plasmonics, including nonlocal dielectric functions, molecular interactions, and multi-level semiconductor gain. Other critical topics include nanoscale biophotonics, especially for detecting early-stage cancers, and quantum vacuum, including the Casimir effect and blackbody radiation.
Epstein victims share experiences at news conference
2025
Liz Stein spoke at a news conference in which victims of Jeffrey Epstein and Ghislaine Maxwell shared their experiences and supported releasing more files in the case.
Streaming Video
Why Ghislaine Maxwell may not solve Trump's Epstein issue
2025
For weeks, President Donald Trump has tried to appease his base around the Jeffrey Epstein case. Now, the Justice Department has pivoted to Ghislaine Maxwell.
Streaming Video
Wonder Woman, the many lives of Maxwell Lord
in
Wonder Woman (Fictitious character) Comic books, strips, etc.
,
Lord, Maxwell (Fictitious character) Comic books, strips, etc.
,
Superheroes Comic books, strips, etc.
2020
\"Maxwell Lord's drive to rid the world of those with super powers is all consuming, but what about... his superpowers? Power corrupts and Absolute Power corrupts absolutely - doesn't it, Maxwell? After finding his father murdered, Maxwell Lord developed a new life motto - Power corrupts. And absolute power, corrupts absolutely. - this develops into the belief that those with super powers will always abuse their gifts, heroes and villains alike. So when Maxwell started developing his own super powers, it's only natural that he didn't trust them. Will Maxwell ever learn what it means to be truly in control of his powers? Or will his fear and distrust be his own demise?\"-- Provided by publisher.
Rep. Maxwell Frost on Musk's influence over Congress
2024
Rep. Maxwell Frost (D-Fla.) criticized Elon Musk for urging Republicans to oppose a critical funding extension, edging the government closer to a shutdown.
Streaming Video