scholarly journals Conservation laws with a non-local flow application to pedestrian traffic

2012 ◽  
Vol 38 ◽  
pp. 409-428 ◽  
Author(s):  
Magali Lécureux-Mercier
Keyword(s):  
Conservation Laws ◽  
Local Flow ◽  
Pedestrian Traffic ◽  
Non Local

A $\operatorname{log}$-type non-local flow of convex curves

2021 ◽  
Vol 29 (5) ◽  
pp. 1157-1182
Author(s):  
Laiyuan Gao ◽  
Shengliang Pan ◽  
Ke Shi
Keyword(s):  
Local Flow ◽  
Convex Curves ◽  
Non Local

Linear amplification factor transport equation for stationary crossflow instabilities in supersonic boundary layers

2020 ◽  
pp. 095441002095499
Author(s):  
Jiakuan Xu
Keyword(s):  
Transport Equation ◽  
Boundary Layers ◽  
Amplification Factor ◽  
Reynolds Numbers ◽  
Linear Stability Theory ◽  
Local Flow ◽  
Flow Parameters ◽  
Compressible Boundary Layers ◽  
Non Local ◽  
Flow Variables

Based on the database from linear stability theory (LST) analysis, a local amplification factor transport equation for stationary crossflow (CF) waves in low-speed boundary layers was developed in 2019. In this paper, the authors try to extend this transport equation to compressible boundary layers based on local flow variables. The similarity equations for compressible boundary layers are introduced to build the function relations between non-local variables and local flow parameters. Then, compressibility corrections are taken into account to modify the source term of the transport equation. Through verifications of different sweep angles, Reynolds numbers, angles of attack, Mach numbers, and different cross-section geometric shapes, the rationality and correctness of the new transport equation established in this paper are illustrated.

On differential conservation laws in non-local field theories

1953 ◽  
Vol 10 (2) ◽  
pp. 182-185 ◽  
Author(s):  
J. Rzewuski
Keyword(s):  
Conservation Laws ◽  
Local Field ◽  
Field Theories ◽  
Non Local

scholarly journals Resonance in rarefaction and shock curves: Local analysis and numerics of the continuation method

2020 ◽  
Vol 17 (04) ◽  
pp. 639-676
Author(s):  
A. C. Alvarez ◽  
G. T. Goedert ◽  
D. Marchesin
Keyword(s):  
Conservation Laws ◽  
Continuation Method ◽  
Local Analysis ◽  
Jordan Chain ◽  
Numerical Examples ◽  
Composite Field ◽  
Systems Of Conservation Laws ◽  
Non Local ◽  
Composite Wave ◽  
Genuine Nonlinearity

We describe certain crucial steps in the development of an algorithm for finding the Riemann solution to systems of conservation laws. We relax the classical hypotheses of strict hyperbolicity and genuine nonlinearity due to Lax. First, we present a procedure for continuing wave curves beyond points where characteristic speeds coincide, i.e. at wave curve points of maximal co-dimensionality. This procedure requires strict hyperbolicity on both sides of the coincidence locus. Loss of strict hyperbolicity is regularized by means of a Generalized Jordan Chain, which serves to construct a four-fold sub-manifold structure on which wave curves can be continued. Second, we analyze the loss of genuine nonlinearity. We prove a new result: the existence of composite wave curves when the composite wave traverses either the inflection locus or an anomalous part of the non-local composite wave curve. In this sense, we find conditions under which the composite field is well defined and its singularities can be removed, allowing use of our continuation method. Finally, we present numerical examples for a non-strictly hyperbolic system of conservation laws.

scholarly journals Disintegrating Particles, Non-Local Causation and Category Mistakes: What do Conservation Laws have to do with Dualism?

Conatus ◽  
2018 ◽  
Vol 2 (2) ◽  
pp. 63
Author(s):  
Rashad Rehman
Keyword(s):  
Conservation Laws ◽  
Laws Of Nature ◽  
Entry Point ◽  
Human Beings ◽  
Physical Data ◽  
Non Local ◽  
Body And Soul ◽  
Category Mistakes

The single most influential and widely accepted objection against any form of dualism, the belief that human beings are both body and soul, is the objection that dualism violates conservation laws in physics. The conservation laws objection against dualism posits that body and soul interaction is at best mysterious, and at worst impossible. While this objection has been both influential from the time of its initial formulation until present, this paper occupies itself with arguing that this objection is a fleeting one, and has successful answers from both scientific and philosophical perspectives. It is to this end that I provide three groups of responses to the conservation laws objection. First, I outline responses which take the ‘laws of nature’ as the proper entry point into the discussion. Secondly, I provide an analysis of those who argue that contemporary quantum physical data requires that the objection itself involves scientifically unjustified premises. Finally, I layout a philosophically oriented answer which argues that the objection is linguistically problematic since its demands on the dualist are categorically fallacious. From these groups of answers, I conclude that while the conservation laws objection has been arguably the most widely accepted objection against dualism, the objection is without philosophical justification.

Sign in / Sign up

Export Citation Format

Share Document