Results 131 to 140 of about 236,568 (372)
On the boundary behavior of solutions to a class of elliptic partial differential equations [PDF]
Kjell‐Ove Widman
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Microdroplet Magnetic Field Sensor Utilizing Magneto‐Birefringence Effect
A compact sensor based on birefringent microdroplets of magnetic nanoplatelet suspension enables precise optical detection of magnetic field strength and direction at the microscale. The system offers high sensitivity, fast response, and compatibility with lab‐on‐chip applications.
Martin Horvat+4 more
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Existence of a unique solution to an elliptic partial differential equation
The purpose of this article is to prove the existence of a unique classical solution to the quasilinear elliptic equation $-\nabla \cdot(a(u) \nabla u)=f$ for $\mathbf{x} \in \Omega$, which satisfies the condition that $u(\mathbf{x}_0)=u_0$ at a ...
Diane L. Denny
doaj
In this article, we mainly study new soliton solutions of the conformable time fractional Drinfel’d–Sokolov–Wilson (DSW) equation which has applications in a wide range of practical applications, including fluid dynamics problems.
Shi Da, Li Zhao
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With the aid of symbolic computation, a new extended Jacobi elliptic function expansion method is presented by means of a new ansatz, in which periodic solutions of nonlinear evolution equations, which can be expressed as a finite Laurent series of some ...
Yafeng Xiao, Haili Xue, Hongqing Zhang
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Some properties of solutions of second-order elliptic partial differential equations with unbounded Dirichlet integral [PDF]
Jan Kadlec
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High Fidelity Waveguides Through Vitreous Media Recomposition for Next Generation Photonic Devices
A newly designed aluminosilicate glass enables the fabrication of femtosecond laser‐written optical waveguides with ultra‐low propagation losses of −0.020 dB cm−1 at 1310 nm and −0.037 dB cm−1 at 1550 nm. Raman, Brillouin, and electron microscopy analyses reveal the mechanisms behind refractive index modifications, highlighting the role of glass ...
T Toney Fernandez+9 more
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The Exterior Dirichlet Problem for Second Order Elliptic Partial Differential Equations [PDF]
Norman G. Meyers, James Serrin
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Spin‐Orbit Photonics with Potato Starch Lenses
Native potato starch spherulites are introduced as volumetric optical elements that modulate both dynamic and geometric phases of light. These spherulites focus light and generate optical vortices via spin‐orbit interaction, functioning as polarization‐sensitive microlenses. Their unique radial anisotropy enables applications in vortex beam generation,
Petr Bouchal+4 more
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Phragmén-Lindelöf theorems for second order quasi-linear elliptic partial differential equations [PDF]
John O. Herzog
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