Results 101 to 110 of about 617,829 (273)

A priori estimates for the motion of a self-gravitating incompressible liquid with free surface boundary

open access: yes, 2008
In this paper, we prove a priori estimates in Lagrangian coordinates for the equations of motion of an incompressible, inviscid, self-gravitating fluid with free boundary.
Lindblad, Hand, Nordgren, Karl Hakan
core  

On Wave Equations Without Global a Priori Estimates

open access: yesBoletim da Sociedade Paranaense de Matemática, 2011
Summary: We investigate the existence and uniqueness of weak solution for a mixed problem for wave operator of the type: \[ L(u) =\frac{\partial^2u}{\partial t^2}-\Delta u + |u|^{\rho}-f,\quad \rho>1. \] The operator is defined for real functions \(u = u(x, t)\) and \(f = f (x, t)\) where \((x, t) \in Q\) a bounded cylinder of \(\mathbb R^{n+1}\).
Luis Adauto Medeiros   +2 more
openaire   +4 more sources

A Synovium‐on‐Chip Platform to Study Multicellular Interactions in Arthritis

open access: yesAdvanced Healthcare Materials, EarlyView.
The Synovium‐on‐Chip comprises a thin microporous PDMS membrane to support co‐culture of fibroblast‐like synoviocytes (FLS), THP‐1‐derived macrophages, and endothelial cells, enabling real‐time analysis of synovial‐vascular interactions. FLS migration through the pores drives endothelial remodeling, while TNF‐α stimulation induces robust inflammatory ...
Laurens R. Spoelstra   +8 more
wiley   +1 more source

-estimates for nonlinear elliptic problems with -growth in the gradient

open access: yesJournal of Inequalities and Applications, 1999
We consider the Dirichlet problem for a class of nonlinear elliptic equations whose model is . We give a priori -estimates using symmetrization methods. An obstacle problem for nonlinear variational inequalities is also studied.
Rakotoson JM, Ferone V, Posteraro MR
doaj  

From RNA to DNA: How Cargo Identity Reprograms Lipid Nanoparticle Architecture and Function

open access: yesAdvanced Healthcare Materials, EarlyView.
The evolution of lipid nanoparticles (LNPs) spans from RNA‐LNPs, used in mRNA vaccines, to DNA‐LNPs, ideal for gene therapies. Emerging bionano architectures, decorated with DNA and plasma proteins, pave the way for advanced DNA‐based therapies that are more stable, targeted, and customizable.
Erica Quagliarini   +2 more
wiley   +1 more source

Beyond Presumptions: Toward Mechanistic Clarity in Metal‐Free Carbon Catalysts for Electrochemical H2O2 Production via Data Science

open access: yesAdvanced Materials, EarlyView.
Metal‐free carbon catalysts enable the sustainable synthesis of hydrogen peroxide via two‐electron oxygen reduction; however, active site complexity continues to hinder reliable interpretation. This review critiques correlation‐based approaches and highlights the importance of orthogonal experimental designs, standardized catalyst passports ...
Dayu Zhu   +3 more
wiley   +1 more source

Self‐Assembled Inorganic Nanomembrane Tubes: Rolled‐Up Piezoelectrics for Microacoustic Wave‐Based Actuators and Sensors

open access: yesAdvanced Materials, EarlyView.
This study demonstrates a self‐assembly process to generate free‐standing piezoelectric nanomembranes, forming ultracompact microtubular acoustic wave sensors and actuators. The miniaturized 3D piezoelectric platform reported in this work can be applied in telecommunication, energy harvesting, and acoustofluidics. Moreover, the 3D self‐assembly can add
Raphaël C. L‐M. Doineau   +9 more
wiley   +1 more source

Solvability of Neumann boundary-value problems with Caratheodory nonlinearities

open access: yesElectronic Journal of Differential Equations, 2004
We propose a sufficient condition, on the nonlinear term, for the existence of solutions. This new condition is weaker than the usual sign condition and than the assumption on the existence of constant upper and lower solutions.
Abdelkader Boucherif, Nawal Al-Malki
doaj  

A view on Liouville theorems in PDEs

open access: yesAnalysis and Geometry in Metric Spaces
Our review of Liouville theorems includes a special focus on nonlinear partial differential equations and inequalities.
Mitidieri Enzo
doaj   +1 more source

High‐Throughput In Vivo Screening Using Barcoded mRNA Identifies Lipid Nanoparticles With Extrahepatic Tropism for In Situ Immunoengineering

open access: yesAdvanced Materials, EarlyView.
A high‐throughput in vivo mRNA LNP screening platform is developed and employed to screen a large library of 122 mRNA LNPs in vivo for delivery to immune, stromal, and parenchymal cells, identifying promising LNP candidates. A novel small particle flow cytometry‐based protein adsorption analysis method is utilized to interrogate protein corona ...
Alex G. Hamilton   +17 more
wiley   +1 more source

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