Results 131 to 140 of about 236,568 (372)

On the boundary behavior of solutions to a class of elliptic partial differential equations [PDF]

, 1967
Kjell‐Ove Widman
openalex   +1 more source

Microdroplet Magnetic Field Sensor Utilizing Magneto‐Birefringence Effect

Advanced Materials Technologies, EarlyView.
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, Patricija Hribar Boštjančič, Darja Lisjak, Alenka Mertelj, Natan Osterman   +4 more
wiley   +1 more source

Existence of a unique solution to an elliptic partial differential equation

Electronic Journal of Differential Equations, 2019
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  

New soliton solutions of the conformable time fractional Drinfel'd–Sokolov–Wilson equation based on the complete discriminant system method

Open Physics
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
doaj   +1 more source

A New Extended Jacobi Elliptic Function Expansion Method and Its Application to the Generalized Shallow Water Wave Equation

Journal of Applied Mathematics, 2012
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
doaj   +1 more source

Some properties of solutions of second-order elliptic partial differential equations with unbounded Dirichlet integral [PDF]

, 1963
Jan Kadlec
openalex   +1 more source

High Fidelity Waveguides Through Vitreous Media Recomposition for Next Generation Photonic Devices

Advanced Optical Materials, EarlyView.
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, Andrew Ross‐Adams, Mark Bakovic, Jens Ulrich Thomas, Oliver Hochrein, Hadi Mahmodi, Irina Kabakova, Karen Privat, Michael Withford, Simon Gross   +9 more
wiley   +1 more source

The Exterior Dirichlet Problem for Second Order Elliptic Partial Differential Equations [PDF]

, 1960
Norman G. Meyers, James Serrin
openalex   +1 more source

Spin‐Orbit Photonics with Potato Starch Lenses

Advanced Optical Materials, EarlyView.
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, Petr Viewegh, Petr Liška, Radim Chmelík, Zdeněk Bouchal   +4 more
wiley   +1 more source

Phragmén-Lindelöf theorems for second order quasi-linear elliptic partial differential equations [PDF]

, 1964
John O. Herzog
openalex   +1 more source