Results 61 to 70 of about 238,845 (376)

Solvability of nonlinear Dirichlet problem for a class of degenerate elliptic equations

Abstract and Applied Analysis, 2004
We prove an existence result for solution to a class of nonlinear degenerate elliptic equation associated with a class of partial differential operators of the form Lu(x)=∑i,j=1nDj(aij(x)Diu(x)), with Dj=∂/∂xj, where aij:Ω→ℝ are functionssatisfying ...
Albo Carlos Cavalheiro
doaj   +1 more source

Reduced-order modeling using the frequency-domain method for parabolic partial differential equations

AIMS Mathematics, 2023
This paper suggests reduced-order modeling using the Galerkin proper orthogonal decomposition (POD) to find approximate solutions for parabolic partial differential equations.
Jeong-Kweon Seo, Byeong-Chun Shin
doaj   +1 more source

Invasion moving boundary problem for a biofilm reactor model

, 2017
The work presents the analysis of the free boundary value problem related to the invasion model of new species in biofilm reactors. In the framework of continuum approach to mathematical modelling of biofilm growth, the problem consists of a system of ...
D'Acunto, Berardino, Frunzo, Luigi, Luongo, Vincenzo, Mattei, Maria Rosaria   +3 more
core   +1 more source

Prospects of Electric Field Control in Perpendicular Magnetic Tunnel Junctions and Emerging 2D Spintronics for Ultralow Energy Memory and Logic Devices

Advanced Functional Materials, EarlyView.
Electric control of magnetic tunnel junctions offers a path to drastically reduce the energy requirements of the device. Electric field control of magnetization can be realized in a multitude of ways. These mechanisms can be integrated into existing spintronic devices to further reduce the operational energy.
Will Echtenkamp, Brahmdutta Dixit, Yifei Yang, Deyuan Lyu, Thomas Peterson, Qi Jia, Yu‐Chia Chen, Jian‐Ping Wang   +7 more
wiley   +1 more source

Nonlinear elliptic problems with the method of finite volumes

Differential Equations and Nonlinear Mechanics, 2006
We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations.
Sanjay Kumar Khattri
doaj   +1 more source

LOW-ENERGY ELECTRON SCATTERING IN A FORCE FIELD WITH CENTRAL SYMMETRY

Современная наука и инновации, 2022
In this article, we will consider another example of using the reference modeling method to find a solution to a partial differential equation, this time an elliptic one.
A. B. Cheboksarov, V. A. Cheboksarov, A. A. Moskvitin   +2 more
doaj   +1 more source

Printing Nacre‐Mimetic MXene‐Based E‐Textile Devices for Sensing and Breathing‐Pattern Recognition Using Machine Learning

Advanced Functional Materials, EarlyView.
This study presents a Ti3C2Tx MXene/WPU nacre‐mimetic nanomaterial as a printable ink for direct‐write printing onto textiles‐based sensors. The resulting wearable device demonstrates high sensitivity, biocompatibility, and mechanical strength. Furthermore, NFC‐enabled humidity sensor produces time‐series data, which informs a machine learning ...
Lulu Xu, Wenqing Chen, Qian Li, Rohit Gupta, Biswajoy Bagchi, Laurence B. Lovat, Manish K. Tiwari   +6 more
wiley   +1 more source

Convergent Filtered Schemes for the Monge-Ampère Partial Differential Equation [PDF]

SIAM Journal on Numerical Analysis, 2012
The theory of viscosity solutions has been effective for representing and approximating weak solutions to fully nonlinear partial differential equations such as the elliptic Monge--Ampere equation.
Brittany D. Froese, Adam M. Oberman
semanticscholar   +1 more source

Commercial Sodium‐Ion Batteries: Understanding Mechanism and Function Using In Operando Neutron Diffraction and X‐Ray Tomography Studies

Advanced Functional Materials, EarlyView.
In operando neutron diffraction reveals the real‐time structural evolution of O3‐type NaxNi1/3Mn1/3Fe1/3O2 in commercial sodium‐ion batteries that is coupled with electrochemical and tomography data. The study establishes a direct link between current‐dependent phase transitions, lattice kinetics, and electrochemical behavior, offering mechanistic ...
B. D. K. K. Thilakarathna, Daniel Brocklebank, Patrick Kin Man Tung, Vanessa K. Peterson, Neeraj Sharma   +4 more
wiley   +1 more source

Group Invariant Solutions and Conserved Quantities of a (3+1)-Dimensional Generalized Kadomtsev–Petviashvili Equation

Mathematics, 2020
In this work, we investigate a (3+1)-dimensional generalised Kadomtsev–Petviashvili equation, recently introduced in the literature. We determine its group invariant solutions by employing Lie symmetry methods and obtain elliptic, rational and ...
Innocent Simbanefayi, Chaudry Masood Khalique   +1 more
doaj   +1 more source