scholarly journals Global existence and singularity of Hill’s lunar problem with strong potential

2021 ◽  
Vol 62 (9) ◽  
pp. 092901
Author(s):  
Yanxia Deng ◽  
Slim Ibrahim
Keyword(s):  
Global Existence ◽  
Strong Potential ◽  
Hill's Lunar Problem

Remarks on nonlinear elastic waves with null conditions

2020 ◽  
Vol 26 ◽  
pp. 121
Author(s):  
Dongbing Zha ◽  
Weimin Peng
Keyword(s):  
Initial Data ◽  
Global Existence ◽  
Elastic Waves ◽  
Wave Equations ◽  
Alternative Proof ◽  
Classical Solutions ◽  
Small Initial Data ◽  
Hyperelastic Materials ◽  
Variational Structure ◽  
Nonlinear Elastic

For the Cauchy problem of nonlinear elastic wave equations for 3D isotropic, homogeneous and hyperelastic materials with null conditions, global existence of classical solutions with small initial data was proved in R. Agemi (Invent. Math. 142 (2000) 225–250) and T. C. Sideris (Ann. Math. 151 (2000) 849–874) independently. In this paper, we will give some remarks and an alternative proof for it. First, we give the explicit variational structure of nonlinear elastic waves. Thus we can identify whether materials satisfy the null condition by checking the stored energy function directly. Furthermore, by some careful analyses on the nonlinear structure, we show that the Helmholtz projection, which is usually considered to be ill-suited for nonlinear analysis, can be in fact used to show the global existence result. We also improve the amount of Sobolev regularity of initial data, which seems optimal in the framework of classical solutions.

The Affective Politics of Karma among Buddhist Cancer Charities in Vietnam

2020 ◽  
Vol 15 (4) ◽  
pp. 33-62
Author(s):  
Sara Swenson
Keyword(s):  
Public Health ◽  
Global Existence ◽  
Food Production ◽  
Public Health Intervention ◽  
Health Intervention ◽  
Moral Failure ◽  
Cancer Rates ◽  
Charity Work

In this article, I explore how Buddhist charity workers in Vietnam interpret rising cancer rates through understandings of karma. Rather than framing cancer as a primarily physical or medical phenomenon, volunteers state that cancer is a product of collective moral failure. Corruption in public food production is both caused by and perpetuates bad karma, which negatively impacts global existence. Conversely, charity work creates merit, which can improve collective karma and benefit all living beings. I argue that through such interpretations of karma, Buddhist volunteers understand their charity at cancer hospitals as an affective and ethical form of public health intervention.

First Insights on Peruvian Luxury Consumers

2018 ◽  
Vol 9 (8) ◽  
pp. 699-712
Author(s):  
Anne-Flore Maman Larraufie ◽  
Keyword(s):  
Emerging Markets ◽  
Cultural Dimensions ◽  
Historical Background ◽  
Two Stage ◽  
Secondary Sources ◽  
Strong Potential ◽  
Analytic Process ◽  
Emerging Country ◽  
Research Questions ◽  
Practical Recommendations

Peru is an emerging country showing strong potential for future luxury developments. It already holds luxury regular consumers, mainly in the Lima capital. However, it is currently approached in a standardized process by luxury firms, following what is done in other emerging markets for luxury. To be efficient, it is necessary to get more knowledge about Peruvian consumers. This is what this article aims at. After reviewing the historical background of the country along with its cultural dimensions, we present results from a two-stage analytic process based on data collected from secondary sources and interviews with consumers. We derive from that practical recommendations for luxury managers and propose some research questions and hypotheses to be further explored and tested.

Bio-Inspired Submicron Electrodes

2003 ◽  
Vol 775 ◽  
Author(s):  
Ivan Stanish ◽  
Daniel A. Lowy ◽  
Alok Singh
Keyword(s):  
Electrode Surface ◽  
Structural Integrity ◽  
Electron Flow ◽  
Charge Storage ◽  
Electroactive Material ◽  
Electron Coupling ◽  
Strong Potential ◽  
Electrical Potentials ◽  
Submicron Scale ◽  
Potential Gradients

AbstractImmobilized polymerized electroactive vesicles (IPEVs) are submicron biocapsules capable of storing charge in confined environments and chemisorbing on surfaces. Methods to immobilize stable submicron sized electroactive vesicles and the means to measure electroactivity of IPEVs at nanolevels have been demonstrated. IPEVs can withstand steep potential gradients applied across their membrane, maintain their structural integrity against surfaces poised at high/low electrical potentials, retain electroactive material over several days, and reversibly mediate (within the membrane) electron flow between the electrode surface and vesicle interior. IPEVs have strong potential to be used for charge storage and electron coupling applications that operate on the submicron scale and smaller.

scholarly journals Global existence of null-form wave equations in exterior domains

2007 ◽  
Vol 256 (3) ◽  
pp. 521-549 ◽  
Author(s):  
Jason Metcalfe ◽  
Christopher D. Sogge
Keyword(s):  
Global Existence ◽  
Wave Equations ◽  
Exterior Domains
Sign in / Sign up

Export Citation Format

Share Document