Results 111 to 120 of about 9,189,330 (242)

Level set method for solving Poisson's equation with discontinuous nonlinearities

Electronic Journal of Differential Equations, 2005
We study semi-linear elliptic free boundary problems in which the forcing term is discontinuous; i.e., a Poisson's equation where the forcing term is the Heaviside function applied to the unknown minus a constant.
Joseph Kolibal
doaj  

Deciphering the Photopolymerization‐Induced Nanostructures and Interface Formation for Submicrometer Additive Manufacturing

Advanced Functional Materials, EarlyView.
This work reveals the UV‐curing‐induced monomer‐rich domain, oligomer‐rich domain, and entangled oligomer domain. The cured submicron films in stressed state induce interlayer nano‐wrinkle structures during the deposition of the second layer. Stress‐free cured films in relaxed state form non‐diffusive, diffusive and semi‐diffusive interlayer ...
Shouzheng Chen, Yufeng Zhai, Jungui Zhou, Lixing Li, Simon Schraad, Guangjiu Pan, Xuehe Jiang, Sarathlal Koyiloth Vayalil, Rolf A. T. M. van Benthem, Julien R. G. Navarro, Johan F. G. A. Jansen, Mats K. G. Johansson, Peter Müller‐Buschbaum, Stephan V. Roth   +13 more
wiley   +1 more source

Hele-shaw free-boundary problems with suction

, 1988
In the absence of surface tension, the solution of most Hele-Shaw free-boundary problems with suction becomes singular at finite time, say t = t*, when the free boundary develops a cusp.
Howison, S. D., LACEY, A, HOWISON, S, OCKENDON, J, Lacey, A. A., Ockendon, J. R.   +5 more
core   +1 more source

Effects of LLZO Microstructure Porosity, LLZO/Li‐Metal Interfacial Polarization Resistance, and Applied Areal Current Density on Li‐Metal Dendrite Formation in LLZO Bilayer Symmetric Cells

Advanced Functional Materials, EarlyView.
The effects of solid‐state electrolyte architecture and electrolyte/electrode interfacial polarization resistance on Critical Current Density and the risks for “interfacial” and “internal” Li‐metal dendrite formation were investigated in simulations of FIB‐reconstructed porous‐dense Li7La3Zr2O12 (LLZO) “bilayers”, providing insight for full cells ...
Tanner R. Hamann, Jon O'Neill, Eric D. Wachsman   +2 more
wiley   +1 more source

Nitride MXenes Beyond Carbides: Bridging the Gap Between Computational Prediction and Experimental Realization

Advanced Functional Materials, EarlyView.
Nitride MXenes remain constrained by a persistent gap between computational prediction and experimental realization. This Review identifies the thermodynamic, kinetic, and chemical barriers limiting their synthesis, critically evaluates emerging fabrication routes, and proposes a multidimensional computational‐experimental framework to accelerate the ...
Naresh Varnakavi, Masoud Soroush
wiley   +1 more source

Lewis Acid Site Engineering in MOF‐Derived Aluminum Oxide/Carbon Composites for Dechlorination of Waste Plastic Pyrolysis Oil

Advanced Functional Materials, EarlyView.
Controlled carbonization of an Al‐MOF partially decomposes its linkers, exposing coordinatively unsaturated Al centers within an oxide/carbon composite. The resulting Lewis acid sites, rather than surface area, govern organochlorine capture: the composite removes chemically diverse organochlorines from waste plastic pyrolysis oil, outperforms a ...
Seong Cheon Kim, Byeongju Jeon, Suk Hyun Lim, Eun Hee Kwon, Nam Sun Nho, Siyoung Q. Choi, Jeasung Park   +6 more
wiley   +1 more source

Mechanistic Origins of Chemo‐Mechanical Instability and Failure in Solid‐State Lithium‐Sulfur Electrodes

Advanced Functional Materials, EarlyView.
Conversion‐induced sulfur expansion generates strong mechanical constraints and localized stresses within solid‐state Li‐S cathodes. Heterogeneous solid‐electrolyte confinement creates tensile strain‐energy hotspots that govern particle cracking. Larger sulfur particles accelerate fracture, while higher porosity relaxes constraint and delays damage ...
Arpan K. Sharma, Ahmad Ahmad, Bairav S. Vishnugopi, Partha P. Mukherjee   +3 more
wiley   +1 more source

Some free boundary value problems in elasticity applications [PDF]

, 1968
Electroelastic applications of free boundary value problems in elasticity ...
Slose, J. M.
core  

On the mathematical model of the concentration of pollutants and their impact on the population of the river

Results in Applied Mathematics
To study the influence of environmental pollutants on the dynamics of river populations, we present a process-oriented model that elucidates the interplay between a population and toxic substances in a flowing environment.
J.O. Takhirov, M.I. Boborakhimova
doaj   +1 more source

Beyond Thin Film Limits—Superhard and Hydrogen‐Free Amorphous Carbon Coatings With Over 100 µm Thickness

Advanced Functional Materials, EarlyView.
For the first time, an extreme‐thick laser‐arc PVD ta‐C (DLC) coating exceeding 100 µm is demonstrated, opening up new possibilities for ultra‐high load bearing capacity. This superhard amorphous carbon architecture combines >50% sp3 bonding, robust adhesion and self‐supporting performance, shielding substrates from plastic flow under extreme contact ...
Martin Zawischa, Frank Kaulfuß, Stefan Makowski, Volker Weihnacht   +3 more
wiley   +1 more source