Results 41 to 50 of about 26,669 (259)

Elliptic Quadratic Operator Equations [PDF]

Acta Applicandae Mathematicae, 2018
36 ...
Ganikhodzhaev, Rasul, Mukhamedov, Farrukh, Saburov, Mansoor   +2 more
openaire   +3 more sources

Investigation of Oxygen‐Free Wetting Behavior of Aluminum on Copper via Molecular Dynamics Simulations and Experiments

Advanced Engineering Materials, EarlyView.
The wettability of aluminum droplets (Al) on different copper substrates (Cu), where liquid Al spreads on solid Cu surfaces to form a liquid–solid interface, is studied numerically and experimentally. The experimental and numerical results show good agreement in the fast‐spreading regime.
Shan Lyu, Timon Steinhoff, Finn‐Lennard Janthur, Sarah Seffer, Jörg Hermsdorf, Christian Klose, Ludger Overmeyer, Hans‐Jürgen Maier, Nina Merkert   +8 more
wiley   +1 more source

Integrated Jacobi elliptic function solutions to the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation by utilizing new solutions of the elliptic equation of order six

Partial Differential Equations in Applied Mathematics
In this research, the generalized (3+1)-dimensional Kadomtsev–Petviashvili equation ((3+1)-GKPE) that expresses various nonlinear phenomena was studied.
Ahmad H. Alkasasbeh, Belal Al-Khamaiseh, Ahmad T. Ali   +2 more
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Cotton-Type and Joint Invariants for Linear Elliptic Systems

The Scientific World Journal, 2013
Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
doaj   +1 more source

Bias‐Free Highly Efficient and Stable Dye‐Sensitized Photoelectrochemical Cells via Cascade Charge Transfer

Advanced Functional Materials, EarlyView.
A buried‐junction DSPEC design is introduced that leverages cascade charge transfer to enhance efficiency, stability, and versatility. This approach facilitates effective charge transfer and minimizes recombination losses, leading to significant improvements.
Jun‐Hyeok Park, Kyounglim Kim, Jinyoung Lee, Sarang Kim, Gwangsu Yoon, So Yeon Yoon, Jeong Kyeong Lee, Ji‐Wook Jang, Tae‐Hyuk Kwon   +8 more
wiley   +1 more source

The Modified Rational Jacobi Elliptic Functions Method for Nonlinear Differential Difference Equations

Journal of Applied Mathematics, 2012
We modified the rational Jacobi elliptic functions method to construct some new exact solutions for nonlinear differential difference equations in mathematical physics via the lattice equation, the discrete nonlinear Schrodinger equation with a saturable
Khaled A. Gepreel, Taher A. Nofal, Ali A. Al-Thobaiti   +2 more
doaj   +1 more source

3D‐Printed Sulfur‐Derived Polymers With Controlled Architectures for Lithium‐Sulfur Batteries

Advanced Functional Materials, EarlyView.
Rheology‐guided formulation design for direct ink writing enables the fabrication of 3D sulfur copolymer cathodes with controlled architectures for lithium‐sulfur batteries. The printed electrodes exhibit multiscale porosity and high sulfur utilization, delivering enhanced electrochemical performance compared to conventional cast electrodes.
Bin Ling, Haoran Wang, Pan Yang, Rishav Agrawal, Alex R. Neale, Laurence J. Hardwick, Tom Hasell, Esther García‐Tuñón   +7 more
wiley   +1 more source

Numerical Solution of Elliptic Partial Differential Equation: Method of Lines and Crank-Nicholson Method

Pan-American Journal of Mathematics
The method of lines (MOL) is a solution procedure for solving partial differential equation (PDE) and the Crank-Nicholson method (CNM) is an implicit finite difference method, used to solve the elliptic equation and similar partial differential equations
Md Roknujjaman, Mohammad Asif Arefin, Atish Kumar Joarder   +2 more
doaj   +1 more source

Second-Order Elliptic Equation with Singularities

International Journal of Differential Equations, 2020
On the compact Riemannian manifold of dimension n≥5, we study the existence and regularity of nontrivial solutions for nonlinear second-order elliptic equation with singularities. At the end, we give a geometric application of the above singular equation.
Hichem Boughazi
doaj   +1 more source