Results 121 to 130 of about 8,296,108 (395)

The Global Existence Problem in General Relativity [PDF]

, 2004
We survey some known facts and open questions concerning the global properties of 3+1 dimensional spacetimes containing a compact Cauchy surface. We consider spacetimes with an $\ell$-dimensional Lie algebra of space-like Killing fields. For each $\ell \leq 3$, we give some basic results and conjectures on global existence and cosmic censorship.
openaire   +3 more sources

Global weak solutions for a periodic two-component $μ$-Hunter-Saxton system [PDF]

arXiv, 2010
This paper is concerned with global existence of weak solution for a periodic two-component $\mu$-Hunter-Saxton system. We first derive global existence for strong solutions to the system with smooth approximate initial data. Then, we show that the limit of approximate solutions is a global weak solution of the two-component $\mu$-Hunter-Saxton system.
arxiv  

Global Existence of Strong Solutions to the Kinetic Cucker--Smale Model Coupled with the Stokes Equations [PDF]

, 2019
In this paper, we investigate existence of global-in-time strong solutions to the kinetic Cucker--Smale model coupled with the Stokes equations in the whole space. By introducing a weighted Sobolev space and using space-time estimates for the linear non-stationary Stokes equations, we present a complete analysis on existence of global-in-time strong ...
arxiv   +1 more source

A comparative study of circulating tumor cell isolation and enumeration technologies in lung cancer

Molecular Oncology, EarlyView.
Lung cancer cells were spiked into donor blood to evaluate the recovery rates of the following circulating tumor cell (CTC) enrichment technologies: CellMag™, EasySep™, RosetteSep™, Parsortix® PR1, and Parsortix® Prototype systems. Each method's advantages and disadvantages are described.
Volga M Saini, Ezgi Oner, Mark P. Ward, Sinead Hurley, Brian David Henderson, Faye Lewis, Stephen P. Finn, Gerard J. Fitzmaurice, John J. O'Leary, Sharon O'Toole, Lorraine O'Driscoll, Kathy Gately   +11 more
wiley   +1 more source

Global Existence and Nonexistence in a System of Petrovsky [PDF]

Journal of Mathematical Analysis and Applications, 2002
AbstractIn this paper we consider the nonlinearly damped semilinear Petrovsky equationutt+Δ2u+aut|ut|m−2=bu|u|p−2in a bounded domain, where a,b>0. We prove the existence of a local weak solution and show that this solution blows up in finite time if p>m and the energy is negative. We also show that the solution is global if m≥p.
openaire   +1 more source

Polish globalization of Polish group partial actions [PDF]

arXiv, 2016
Let $X$ be a separable metrizable space. We establish a criteria for the existence of a metrizable globalization for a given continuous partial action of a separable metrizable group $G$ on $X.$ If $G$ and $X$ are Polish spaces, we show that the globalization is also a Polish space.
arxiv  

Cell‐free and extracellular vesicle microRNAs with clinical utility for solid tumors

Molecular Oncology, EarlyView.
Cell‐free microRNAs (cfmiRs) are small‐RNA circulating molecules detectable in almost all body biofluids. Innovative technologies have improved the application of cfmiRs to oncology, with a focus on clinical needs for different solid tumors, but with emphasis on diagnosis, prognosis, cancer recurrence, as well as treatment monitoring.
Yoshinori Hayashi, Janelle‐Cheri Millen, Romela Irene Ramos, Jennifer A. Linehan, Timothy G. Wilson, Dave S. B. Hoon, Matias A. Bustos   +6 more
wiley   +1 more source

Results from a Nonlinear Wave Equation with Acoustic and Fractional Boundary Conditions Coupling by Logarithmic Source and Delay Terms: Global Existence and Asymptotic Behavior of Solutions

Mathematics
The nonlinear wave equation with acoustic and fractional boundary conditions, coupled with logarithmic source and delay terms, is significant for its ability to model complex systems, its contribution to the advancement of mathematical theory, and its ...
Abdelbaki Choucha, Salah Boulaaras, Ali Allahem, Asma Alharbi, Rashid Jan   +4 more
doaj   +1 more source

Combined spatially resolved metabolomics and spatial transcriptomics reveal the mechanism of RACK1‐mediated fatty acid synthesis

Molecular Oncology, EarlyView.
The authors analyzed the spatial distributions of gene and metabolite profiles in cervical cancer through spatial transcriptomic and spatially resolved metabolomic techniques. Pivotal genes and metabolites within these cases were then identified and validated.
Lixiu Xu, Jinqiu Li, Junqi Ma, Ayshamgul Hasim   +3 more
wiley   +1 more source

The Second Critical Exponent for a Time-Fractional Reaction-Diffusion Equation

Mathematics
In this paper, we consider the Cauchy problem of a time-fractional nonlinear diffusion equation. According to Kaplan’s first eigenvalue method, we first prove the blow-up of the solutions in finite time under some sufficient conditions.
Takefumi Igarashi
doaj   +1 more source