Results 61 to 70 of about 2,766 (314)

Direct and inverse problems for linear relations

Bruno Pini Mathematical Analysis Seminar, 2013
Direct and inverse problem related to linear differential inclusions in Banach spaces are studied.The abstract results are applied to degenerate partial dierential equations of parabolic type.
Angelo Favini
doaj  

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 solutions for a degenerate seawater intrusion problem

Electronic Journal of Differential Equations, 2005
We study a seawater intrusion problem in a confined aquifer. This process can be formulated as a coupled system of partial differential equations which includes an elliptic and a degenerate parabolic equation.
Mohamed El Alaoui Talibi, Moulay Hicham Tber   +1 more
doaj  

Self‐Assembly of a Tripodal Terpyridine Based Ligand with Luminescent Lanthanide Ions in Solution and Soft Material

Advanced Optical Materials, Volume 13, Issue 8, March 13, 2025.
The tripodal terpyridine‐1,3,5‐benzene tricarboxamide (BTA) ligand 1 is employed in the self‐assembly formation of novel luminescent materials using a range of lanthanide ions. In the polar protic solution, the results from the photophysical measurements are assessed using nonlinear regression analysis, while the functional material properties of the ...
Jason M. Delente, Oxana Kotova, Niamh Willis‐Fox, John E. O'Brien, Brendan Twamley, Ronan Daly, Thorfinnur Gunnlaugsson   +6 more
wiley   +1 more source

Extreme Terahertz Nonlinearity of AlGaN/GaN‐Based Grating‐Gate Plasmonic Crystals

Advanced Optical Materials, EarlyView.
Plasmonic crystals based on grating‐gated 2D electron gas in AlGaN/GaN heterostructures provide a platform for strong light‐matter interaction. Pump‐probe experiments revealed strong terahertz nonlinearity leading to 45% increase in transmission at a fluence below 350 nJ cm−2.
Pavlo Sai, Vadym V. Korotyeyev, Dmytro B. But, Maksym Dub, Dmitriy Yavorskiy, Jerzy Łusakowski, Mateusz Słowikowski, Serhii Kukhtaruk, Yurii Liashchuk, Jeong Woo Han, Christoph Böttger, Alexej Pashkin, Stephan Winnerl, Wojciech Knap, Martin Mittendorff   +14 more
wiley   +1 more source

A boundary value problem for the fourth-order degenerate equation of the mixed type

Қарағанды университетінің хабаршысы. Математика сериясы
Many problems in mechanics, physics, and geophysics lead to solving partial differential equations that are not included in the known classes of elliptic, parabolic or hyperbolic equations.
J.A. Otarova
doaj   +1 more source

Asymptotic Behavior of a Class of Degenerate Parabolic Equations

Abstract and Applied Analysis, 2012
We investigate the asymptotic behavior of solutions of a class of degenerate parabolic equations in a bounded domain () with a polynomial growth nonlinearity of arbitrary order.
Hongtao Li, Shan Ma
doaj   +1 more source

Proving Optical Anisotropy and Polarization Effects in β‐Ga2O3$\left(\text{Ga}\right)_{2} \left(\text{O}\right)_{3}$ Nanomembranes via X‐Ray Excited Optical Luminescence

Advanced Photonics Research, EarlyView.
In this study, the pronounced anisotropy in the optical properties of β‐Ga2O3 nanomembranes has been analized under a synchrotron nanoprobe. We have investigated the site‐specific contributions of distint Ga ions to the emission bands by combining polarization‐dependent X‐ray absorption near‐edge structure and X‐ray excited luminescence.
Paula Pérez‐Peinado, Jaime Dolado, Pedro L. Alcázar Ruano, Daniel Carrasco, Ruth Martínez‐Casado, Valentina Bonino, Gema Martínez‐Criado, Jani Jesenovec, John S. McCloy, Francisco Domínguez‐Adame, Jorge Quereda, Emilio Nogales, Bianchi Méndez   +12 more
wiley   +1 more source

Rate of convergence of finite-difference approximations for degenerate linear parabolic equations with $C^1$ and $C^2$ coefficients

Electronic Journal of Differential Equations, 2005
We consider degenerate parabolic and elliptic equations of second order with $C^1$ and $C^2$ coefficients. Error bounds for certain types of finite-difference schemes are obtained.
Hongjie Dong, Nicolai V. Krylov
doaj  

The fundamental solution of Cauchy problem for a single equation of the diffusion equation with inertia

Karpatsʹkì Matematičnì Publìkacìï, 2014
The paper found the explicit form of the fundamental solution of  Cauchy problem for the equation of Kolmogorov type that has a finite number  groups of spatial variables which are degenerate parabolic.
H.P. Malytska, I.V. Burtnyak
doaj   +1 more source