Results 41 to 50 of about 31,726 (206)

Compressive Space-Time Galerkin Discretizations of Parabolic Partial Differential Equations [PDF]

, 2015
We study linear parabolic initial-value problems in a space-time variational formulation based on fractional calculus. This formulation uses "time derivatives of order one half" on the bi-infinite time axis.
Larsson, Stig, Schwab, Christoph
core   +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

The holonomy group at infinity of the Painleve VI Equation

, 2012
We prove that the holonomy group at infinity of the Painleve VI equation is virtually commutative.Comment: 21 pages, 3 figures, Added references, Corrected ...
Gavrilov, Lubomir, Hamed, Bassem Ben, Klughertz, Martine   +2 more
core   +3 more sources

Modulating Two‐Photon Absorption in a Pyrene‐Based MOF Series: An In‐Depth Investigation of Structure–Property Relationships

Advanced Functional Materials, EarlyView.
This study investigates H4TBAPy‐based metal–organic frameworks (MOFs) ‐ NU‐1000, NU‐901, SrTBAPy, and BaTBAPy ‐ for multiphoton absorption (MPA) performance. It observes topology‐dependent variations in the 2PA cross‐section, with BaTBAPy exhibiting the highest activity.
Simon N. Deger, Helmy Pacheco Hernandez, Yang Cui, Hongxing Hao, Vanessa Ramm, David C. Mayer, Khai‐Nghi Truong, Roland A. Fischer, Jürgen Hauer, Mariana Kozlowska, Alexander Pöthig   +10 more
wiley   +1 more source

Existence of solutions for quasilinear elliptic systems involving critical exponents and Hardy terms

Electronic Journal of Differential Equations, 2013
Using variational methods, including the Ljusternik-Schnirelmann theory, we prove the existence of solutions for quasilinear elliptic systems with critical Sobolev exponents and Hardy terms.
Dengfeng Lu
doaj  

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

Infinitely many solutions for nonlocal elliptic systems of (p_1,...,p_n)-Kirchhoff type

Electronic Journal of Differential Equations, 2012
We establish the existence of infinitely many solutions for a class of nonlocal elliptic systems of (p_1,...,p_n)-Kirchhoff type. Our approach is based on variational methods.
Shapour Heidarkhani, Johnny Henderson
doaj  

Existence of solutions for a non-variational system of elliptic PDE's via topological methods

Electronic Journal of Differential Equations, 2016
Summary: In this article, we prove the existence of solutions for a non-variational system of elliptic PDE's. Also we study a system of bi-Laplacian equations with two nonlinearities and without variational assumptions. First, we prove a priori solution estimates, and then we use fixed point theory, to deduce the existence of solutions.
Fethi Soltani, Habib Yazidi
openaire   +2 more sources

An All‐Optical Driven Bio‐Photovoltaic Interface for Active Control of Live Cells

Advanced Functional Materials, EarlyView.
Bio‐photovoltaic Interface (BIO‐PV‐I) for live cell manipulation is presented. BIO‐PV‐I can be activated non‐invasively and remotely to control the spatial motility, adhesion, and morphology of cells adhering to it. BIO‐PV‐I uses a patterned light‐induced electric potential in iron‐doped lithium niobate crystals whose light‐driven and reversible nature,
Lisa Miccio, Martina Mugnano, Valentina Marchesano, Alejandro Calabuig, Zhe Wang, Gennaro Giordano, Francesca Borrelli, Simonetta Grilli, Pietro Ferraro   +8 more
wiley   +1 more source

Existence and multiplicity of solutions for nonlinear elliptic Dirichlet systems

Electronic Journal of Differential Equations, 2012
The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, two, or three solutions ...
Gabriele Bonanno, Elisabetta Tornatore
doaj