Results 101 to 110 of about 1,940 (213)

On the number of singular points of weak solutions to the Navier‐Stokes equations

Communications on Pure and Applied Mathematics, 2001
AbstractWe consider a suitable weak solution to the three‐dimensional Navier‐Stokes equations in the space‐time cylinder Ω × ]0, T[. Let Σ be the set of singular points for this solution and Σ (t) ≡ {(x, t) ∈ Σ}. For a given open subset ω ⊆ Ω and for a given moment of time t ∈]0, T[, we obtain an upper bound for the number of points of the set Σ(t) ⋒ ω.
openaire   +3 more sources

On the number of determining nodes for the 2D Navier-Stokes equations

Journal of Mathematical Analysis and Applications, 1992
The authors consider a two-dimensional problem for the Navier-Stokes system with periodic boundary conditions \[ u_ t-\nu \Delta u+(u\cdot\nabla)u+\nabla p=f, \qquad \nabla\cdot u=0, \qquad x\in R^ 2, \qquad t>0,\tag{1} \] \(u(x_ 1,x_ 2,t)=u(x_ 1,x_ 2+L,t)\), \(u(x_ 1,x_ 2,t)=u(x_ 1+L,x_ 2,t)\). Let \({\mathcal E}=\{x^ 1,\dots, x^ N\}\) be a collection
Jones, Don A, Titi, Edriss S
openaire   +2 more sources

Tailoring K+ Dosage in K+/Zn2+ Mixed Electrolytes via Lattice Expansion Regulation of Zinc Hexacyanoferrate for High‐performance Zinc Ion Batteries

Advanced Science, EarlyView.
The study proposes a fitting curve as a reference to quantify the optimal K+ ratio in K+/Zn2+ mixed electrolyte, thus achieving stable and high‐capacity aqueous zinc ion batteries at each current density. ABSTRACT Incorporating K+ into Zn‐based electrolytes can enhance the performance of aqueous zinc ion batteries, while the lack of a clear rule for ...
Yewei Li, Yuqian Li, Yuchen Zhang, Shuang Zheng, Yanhao Pan, Jiyuan You, Yan Liu, Wenju Wang   +7 more
wiley   +1 more source

Pressure‐Driven Phase Transition Unlocking Unique Eu2+ Luminescence in Li2SrSiO4 for Optical Sensing and White‐LEDs

Advanced Science, EarlyView.
This study demonstrates, for the first time, the use of a large‐format high‐pressure press to modify synthesized Li2SrSiO4:Eu2+,Cs+ phosphors after its preparation. The pressure treatment results in the formation of new materials with distinctive optical properties, opening pathways for the development of advanced LED devices and high‐performance ...
Przemysław Woźny, Peng Du, Teng Zheng, Junpeng Xue, Liang Peng, Shuailing Ma, Szymon Sobczak, Victor Lavín, Tian Cui, Marcin Runowski   +9 more
wiley   +1 more source

Optimization of Hydraulic Machinery Bladings by Multilevel CFD Techniques

International Journal of Rotating Machinery, 2005
The numerical design optimization for complex hydraulic machinery bladings requires a high number of design parameters and the use of a precise CFD solver yielding high computational costs.
Susanne Thum, Rudolf Schilling
doaj   +1 more source

Beyond Electrostatics: Anion‐π+ Orbital Hybridization Underpins High‐Performance Chloride Storage in Poly(arylamine) Organic Cathodes

Advanced Science, EarlyView.
The fundamental nature of anion storage in p‐type organic cathodes is elucidated using rigid poly(arylamine) frameworks. This study reveals a hybrid covalent‐ionic mechanism for anion‐π+ interactions, driven by synergistic orbital hybridization and electrostatic attraction.
Tiantian She, Jiena Weng, Jie Wang, Qiao Xi, Yangyang Zhang, Zijie Zhang, Zongqiong Lin, Wei Huang   +7 more
wiley   +1 more source

Wave-driven ocean currents: how the conservative effects of Stokes transport induce large-scale currents

Progress in Earth and Planetary Science
Stokes drift associated with surface waves induces mass transport, which interacts with ocean currents to modify dynamics from situations without waves.
Yasushi Fujiwara, Yoshimasa Matsumura, Hitoshi Tamura   +2 more
doaj   +1 more source

Ultrafast Hot‐Carrier Cooling in CsPbBr3 Supercrystals via Long‐Range Electronic Coupling

Advanced Science, EarlyView.
CsPbBr3 supercrystal self‐assembly, which induces long‐range electronic coupling, enables spatial carrier delocalization that accelerates carrier‐LO phonon scattering and weakens the Auger heating. These effects enable ultrafast, excitation‐intensity‐independent hot‐carrier cooling, offering a trade‐off‐free strategy for high‐performance perovskite ...
Junhong Yu, Manoj Sharma, Yadong Han, Ke Wang, Zhenzhong Lian, Chang Cao, Lan Nguyen, Naufan Nurrosyid, Baiquan Liu, Jacek J. Jasieniak   +9 more
wiley   +1 more source

Wavelength‐Dependent Photobiomodulation Regulates Macrophage Polarization via Mitochondrial Dynamics and Metabolic Reprogramming

Advanced Science, EarlyView.
Light wavelength encodes distinct macrophage fates through mitochondrial and metabolic remodeling. Red 625 nm irradiation induces glycolysis, mitochondrial fission, and M1 polarization, whereas near‐infrared 850 nm irradiation promotes fatty acid oxidation, mitochondrial fusion, and M2 polarization.
Qiusheng Shi, Hao Jia, Jianfei Dong, Linhao Li, Jingqi Cao, Xun Chen, Zhenzhen Jia, Jing Na, Zhijie Yang, Xinyuan Chen, Yubo Fan, Shuhua Yue, Lisha Zheng   +12 more
wiley   +1 more source

In Situ Confinement of 0D Halometallates Within Deep Eutectic Solvents: From Systematic Screening to Metal‐Tunable Luminescence for Anti‐Counterfeiting Eutectogels

Advanced Science, EarlyView.
We report photostable, photoluminescent deep eutectic solvents (DESs) powered by in situ‐formed zero‐dimensional (0D) halometallates. Stabilized by microenvironment‐controlling hydrogen bond acceptor (HBA) and donor (HBD) networks, these DESs exhibit vibrant, metal ion‐tunable emission (PLQY = 60.2%).
Jeesu Moon, Minkyu Jung, Woojin Jung, Jaeyune Ryu, Jae‐Seung Lee   +4 more
wiley   +1 more source