Local and global existence criteria for capillary surfaces in wedges

1996 ◽  
Vol 4 (4) ◽  
pp. 305-322 ◽  
Author(s):  
Robert Finn
Keyword(s):  
Global Existence ◽  
Capillary Surfaces ◽  
Existence Criteria

scholarly journals A Class of Nonlocal Coupled Semilinear Parabolic System with Nonlocal Boundaries

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hong Liu ◽  
Haihua Lu
Keyword(s):  
Global Existence ◽  
Boundary Conditions ◽  
Parabolic System ◽  
Dirichlet Boundary ◽  
Blow Up ◽  
Dirichlet Boundary Conditions ◽  
Nonlocal Sources ◽  
Semilinear Parabolic System ◽  
Semilinear Parabolic ◽  
Existence Criteria

We investigate the positive solutions of the semilinear parabolic system with coupled nonlinear nonlocal sources subject to weighted nonlocal Dirichlet boundary conditions. The blow-up and global existence criteria are obtained.

Global existence criteria for Sisko fluid in annular region

2017 ◽  
Vol 95 (8) ◽  
pp. 753-760
Author(s):  
S. Rahman ◽  
N. Khan ◽  
T. Hayat ◽  
B. Ahmad
Keyword(s):  
Global Existence ◽  
Unsteady Flow ◽  
Global Regularity ◽  
Annular Region ◽  
Regularity Criteria ◽  
Sisko Fluid ◽  
Annular Pipe ◽  
Existence Criteria

The aim of present paper is to establish the global regularity criteria for flow of Sisko fluid in an annular pipe. This work is an extension of our previous work[ 27 ]. In this paper we consider unsteady flow of magnetohydrodynamic (MHD) Sisko fluid and obtain the existence criteria for higher norm.

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.

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
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