Results 141 to 150 of about 1,208 (288)

The Pogorelov estimates for degenerate curvature equations

We establish the Pogorelov type estimates for degenerate prescribed k-curvature equations as well as k-Hessian equations. Furthermore,we investigate the interior C1,1 regularity of the solutions for Dirichlet problems.
Jiao, Heming, Jiao, Yang
core  

Well-posedness of Dirichlet and Poincare problems in a cylindrical domain for degenerate many dimensional hyperbolic equations with Gellerstedt operator

, 2015
Показано, що задачi Дiрiхле та Пуанкаре в цилiндричнiй областi для вироджуваних багатовимiрних гiперболiчних рiвнянь з оператором Геллерстедта мають єдиний розв’язок.
Алдашев, С.А.
core  

Revisiting Target‐Aware de novo Molecular Generation with TarPass: Between Rational Design and Texas Sharpshooter

Advanced Science, EarlyView.
TarPass provides a rigorous benchmark for target‐aware de novo molecular generation by jointly evaluating protein‐ligand interactions, molecular plausibility, and drug‐likeness on 18 well‐studied targets. Results show that current models often fail to consistently surpass random baseline in target‐specific enrichment, while post hoc multi‐tier virtual ...
Rui Qin, Zijie Chen, Yurong Li, Meijing Fang, Longji Shen, Yilong Su, Odin Zhang, Qinghan Wang, Qun Su, Jike Wang, Tingjun Hou, Yu Kang   +11 more
wiley   +1 more source

Data‐Driven Modeling of Composition–Processing–Microstructure Relations for Recycled Aluminum Cast Alloys

Advanced Science, EarlyView.
Interpretable machine learning reveals how composition and processing govern the formation and microstructural burden of Fe‐rich intermetallic compounds in recycled Al–Si–Fe–Mn alloys. By separating morphology selection from morphology‐conditioned burden partitioning, this framework shows that identical Fe contents can yield different intermetallic ...
Jaemin Wang, Waleed Mohammed, Dierk Raabe   +2 more
wiley   +1 more source

SpaMode: A Broadly Applicable Framework for Deciphering Spatial Multi‐Omics Using Multimodal Mixture of Disentangled Experts

Advanced Science, EarlyView.
SpaMode introduces a versatile framework for spatial multi‐omics integration across vertical, horizontal, and mosaic scenarios. By disentangling modality‐invariant and variant features through a mixture‐of‐experts mechanism, it adaptively reconfigures spatially heterogeneous signals.
Xubin Zheng, Xinlei Huang, Xiang Zhou, Dian Meng, Ziyue Qiao, Zhiyuan Yuan, Lixin Cheng   +6 more
wiley   +1 more source

Multi‐Channel Electrically Tunable Varifocal Metalens With Compact Multilayer Polarization‐Dependent Metasurfaces and Liquid Crystals

Advanced Science, EarlyView.
A compact eight‐channel electrically tunable varifocal metalens with three single‐layer polarization‐multiplexed bi‐focal metalens and three LC cells. The total thickness of the device is ∼6 mm, while the focal lengths can be switched among eight values (3.6, 4.2, 4.5, 4.9, 6.2, 6.9, 8.4, and 9.6 mm). ABSTRACT As an essential module of optical systems,
Zhiyao Ma, Yize Liu, Zhe Li, Tian Tian, Yuxuan Liao, Xue Feng, Yongzhuo Li, Kaiyu Cui, Fang Liu, Hao Sun, Wei Zhang, Yidong Huang   +11 more
wiley   +1 more source

Physics‐Constrained Constitutive Learning of Rate‐Limiting Timescales for Efficient Hydrogen‐Based Direct Reduction for Green Steel Making

Advanced Science, EarlyView.
A conversion‐resolved constitutive framework is developed for the hydrogen‐based direct reduction of iron oxide pellets. Effective reaction and transport timescales are inferred directly from measured trajectories and mapped against operating conditions, pellet architecture, and composition. The analysis reveals how late‐stage transport control emerges
Anurag Bajpai, Barak Ratzker, Pasquale Cavaliere, Dierk Raabe   +3 more
wiley   +1 more source

A Note on Viscous Splitting of Degenerate Convection-Diffusion Equations

, 1997
. We establish L 1 convergence of a viscous splitting method for nonlinear possibly strongly degenerate convection-diffusion problems. Since we allow the equations to be strongly degenerate, solutions can be discontinuous and they are not, in general ...
Kenneth Hvistendahl Karlsen, Abstract We Establish L, Steinar Evje   +2 more
core  

Linear Stability of the Slowly-Rotating Kerr-de Sitter Family. [PDF]

Ann PDE
Fang AJ.
europepmc   +1 more source

A Worm‐Inspired Origami Robot with Multimodal Locomotion for Adaptive Mobility in Complex Pipeline Environments

Advanced Science, EarlyView.
An origami worm‐inspired robot achieves multimodal locomotion in confined pipelines through mechatronic integration that embeds actuation, control, and communication within each origami module. Large, reversible configuration and dimensional changes enable 25 gaits synthesized by a unified framework across peristaltic, inchworm, and wheel‐rolling modes
Qiwei Zhang, Kangning Tan, Zihan He, Hongsen Pang, Yanjie Wang, Hongbin Fang, Jian Xu   +6 more
wiley   +1 more source