Results 91 to 100 of about 9,172,835 (351)

Blow-up of waves on singular spacetimes with generic spatial metrics. [PDF]

Lett Math Phys, 2022
Fajman D, Urban L.
europepmc   +1 more source

Cohomology of standard blowing-up

Journal of Algebra, 1991
This paper defines and studies the Rees-modification \(\tilde{\mathcal F}\) of a coherent sheaf \({\mathcal F}\) over a noetherian affine scheme \(X=\text{Spec} R\), under the hypothesis that the local cohomology modules \(H^ i_ p({\mathcal F})\) are finitely generated for all ...
openaire   +4 more sources

Multimodal Structural Color Graphics Based on Colloidal Photonic Microdome Arrays

Advanced Functional Materials, EarlyView.
A hybrid photonic system combining colloidal crystals and microscale domes is designed to achieve four switchable optical states via the interplay of Bragg reflection and TIR interference. The graphics composed of the photonic microdome arrays provide tunable, angle‐sensitive structural coloration and concealed‐to‐revealed transitions, offering a ...
Jun‐Gu Kang, Hwan‐Young Lee, Chaerim Son, Hyeonbin Jo, Shin‐Hyun Kim   +4 more
wiley   +1 more source

Blow up of solutions to semilinear wave equations

Electronic Journal of Differential Equations, 2003
This work shows the absence of global solutions to the equation $$ u_{tt} = Delta u + p^{-k}|u|^m, $$ in the Minkowski space $mathbb{M}_0=mathbb{R}imesmathbb{R}^N$, where $ m > 1$, $(N-1)m < N+1$, and $p $ is a conformal factor approaching 0 at infinity.
Mohammed Guedda
doaj  

Well-Posedness, Blow-Up Phenomena, and Asymptotic Profile for a Weakly Dissipative Modified Two-Component Camassa-Holm Equation

Journal of Applied Mathematics, 2013
We study the Cauchy problem of a weakly dissipative modified two-component Camassa-Holm equation. We firstly establish the local well-posedness result. Then we present a precise blow-up scenario.
Yongsheng Mi, Chunlai Mu
doaj   +1 more source

Stable blow-up patterns

Journal of Differential Equations, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Graphene‐Enhanced Plasmonic Interfaces: A General Strategy for Highly Sensitive Detection of Biomolecular Interactions

Advanced Healthcare Materials, EarlyView.
Monolayer graphene coating significantly enhances the sensing performance of conventional SPR biosensors. Its impact is evaluated using biologically relevant models, including antibody‐virus and peptide‐cell interactions. Graphene‐enhanced SPR enabled specific virus detection via antibodies and effective cell type discrimination using synthetic ...
Ahmar Hasnain, Heiko Heilmann, Nghi Luong Phuong Le, Klaus‐Ingmar Pfrepper, Andreas Wruck, Peter Groß, Bernd Bufe, Alexey Tarasov   +7 more
wiley   +1 more source

An Innovative “Tooth‐On‐Chip” Microfluidic Device Emulating the Structure and Physiology of the Dental Pulp Tissue

Advanced Healthcare Materials, EarlyView.
This work presents a “tooth‐on‐chip” device that mimics dental pulp tissue. By co‐culturing key cell types, it recreates vascular networks, stem cell niches, the odontoblast/dentine interface, and trigeminal innervation. This innovative platform provides a unique model of dental pulp structure and physiology, with significant potential for accelerating
Alessandro Cordiale, Deborah Stanco, Roberta Visone, Bernd Stadlinger, Pierfrancesco Pagella, Marco Rasponi, Thimios A. Mitsiadis   +6 more
wiley   +1 more source

UV Laser‐Induced Carbon Microelectrode Arrays for Neuronal Recordings

Advanced Healthcare Materials, EarlyView.
Thin‐film electrodes are flexible devices of high conformability and minimal dimensions with attractive properties for in vivo and in vitro bioelectronics. Here, electrodes are developed from parylene films via ultraviolet laser‐induced carbonization.
Fulvia Del Duca, Koji Sakai, Beatrice De Chiara, Toichiro Goto, Defne Tüzün, Lukas Hiendlmeier, George Al Boustani, Hu Peng, Tetsuhiko F. Teshima, Simon N. Jacob, Bernhard Wolfrum   +10 more
wiley   +1 more source

Critical exponent and blow-up rate for the omega-diffusion equations on graphs with Dirichlet boundary conditions

Electronic Journal of Differential Equations, 2014
In this article, we study the $\omega$-diffusion equation on a graph with Dirichlet boundary conditions $$\displaylines{ u_t(x,t)=\Delta_{\omega}u(x,t)+e^{\beta t}u^{p}(x,t), \quad (x,t)\in S\times(0,\infty), \cr u(x,t)=0, \quad (x,t)\in \partial S ...
Weican Zhou, Miaomiao Chen, Wenjun Liu
doaj