A verigin problem with kinetic condition

1997 ◽  
Vol 18 (2) ◽  
pp. 191-199 ◽  
Author(s):  
Xu Longfeng
Keyword(s):  
Verigin Problem ◽  
Kinetic Condition

Kinetic Contours in Rotating Objects

Perception ◽  
1989 ◽  
Vol 18 (3) ◽  
pp. 293-302 ◽  
Author(s):  
Shigemasa Sumi
Keyword(s):  
The Other ◽  
Self Sufficiency ◽  
Perceptual Completion ◽  
Kinetic Condition ◽  
Contour Function ◽  
Rotating Arc ◽  
Rotating Objects

Kinetic contours seen in rotating objects provide evidence about contour function in a kinetic condition. It was observed that (i) when an object with an arc-shaped edge in its outline is rotated, a kinetic contour arises from the rotating arc and bounds a ‘figure’; (ii) the kinetic contour not only protects the enclosed area of this figure from the destruction caused by motion, but also interrupts the continuity of the surroundings; (iii) kinetic contours are generally perceived to be organized into discs which appear as amodally completed forms in such a way that one object is hidden behind the other. The fact that oval or outline figures rarely produce kinetic contours is assumed to be due to figural self-sufficiency, which does not require perceptual completion through motion.

Critical exponent in a Stefan problem with kinetic condition

1997 ◽  
Vol 8 (5) ◽  
pp. 525-532 ◽  
Author(s):  
ZHICHENG GUAN ◽  
XU-JIA WANG
Keyword(s):  
Free Boundary ◽  
Critical Exponent ◽  
Global Solution ◽  
Stefan Problem ◽  
Finite Time ◽  
Blow Up ◽  
One Dimensional ◽  
Kinetic Condition ◽  
Dirac Function ◽  
The One

In this paper we deal with the one-dimensional Stefan problemut−uxx =s˙(t)δ(x−s(t)) in ℝ ;× ℝ+, u(x, 0) =u0(x)with kinetic condition s˙(t)=f(u) on the free boundary F={(x, t), x=s(t)}, where δ(x) is the Dirac function. We proved in [1] that if [mid ]f(u)[mid ][les ]Meγ[mid ]u[mid ] for some M>0 and γ∈(0, 1/4), then there exists a global solution to the above problem; and the solution may blow up in finite time if f(u)[ges ] Ceγ1[mid ]u[mid ] for some γ1 large. In this paper we obtain the optimal exponent, which turns out to be √2πe. That is, the above problem has a global solution if [mid ]f(u)[mid ][les ]Meγ[mid ]u[mid ] for some γ∈(0, √2πe), and the solution may blow up in finite time if f(u)[ges ] Ce√2πe[mid ]u[mid ].

THE METAL-CATALYZED AUTOXIDATION OF TETRALIN: IV. THE EFFECT OF SOLVENT AND TEMPERATURE

1964 ◽  
Vol 42 (11) ◽  
pp. 2424-2433 ◽  
Author(s):  
Y. Kamiya ◽  
K. U. Ingold
Keyword(s):  
Rate Constant ◽  
Acetic Acid Solution ◽  
Propagation Rate ◽  
Steady State Concentration ◽  
Effect Of Solvent ◽  
Kinetic Condition ◽  
Propagation Rate Constant ◽  
High Concentrations ◽  
Metal Catalyzed ◽  
State Concentration

The limiting rate of oxidation of tetralin catalyzed by cobalt, manganese, and copper decanoates has been measured in 12 solvents at 65 °C. This rate is generally determined by the kinetic condition that the hydroperoxide reaches a steady-state concentration but the experimental rates are smaller than expected in some solvents. Both cobalt and manganese are able to terminate reaction chains and they therefore act as inhibitors of the oxidation at high concentrations. The ratio of the propagation rate constant (k3) to the square root of the termination rate constant (k6) for the oxidation of tetralin in acetic acid solution is given by[Formula: see text]

Effects of Static Magnetic Field on Electrolyte Solutions under Kinetic Condition

2011 ◽  
Vol 115 (21) ◽  
pp. 5449-5452 ◽  
Author(s):  
A. Szcześ ◽  
E. Chibowski ◽  
L. Hołysz ◽  
P. Rafalski
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Electrolyte Solutions ◽  
Kinetic Condition

scholarly journals Analysis of Grinding Surface Creation by Single-Grit Approach

2017 ◽  
Vol 139 (12) ◽  
Author(s):  
X. Chen ◽  
T. T. Öpöz ◽  
A. Oluwajobi
Keyword(s):  
Material Removal ◽  
Ground Surface ◽  
Element Model ◽  
Surface Formation ◽  
Grinding Conditions ◽  
Research Findings ◽  
Kinetic Condition ◽  
The Difference ◽  
New Research ◽  
Grinding Efficiency

This paper presents some new research findings in the investigation of single-grit grinding in terms of surface creation. The investigation demonstrated that rubbing–plowing–cutting hypothesis of grinding material removal mechanism is valid in both experiments and simulations. A finite element model (FEM) was developed to simulate the material deformation during the grit interacts with the workpiece. It was found that the cutting mechanism is the more effective in the first half of the scratch where the grit penetrates the workpiece. The plowing is a prominent mechanism in the second half of the scratch where the grit is climbing up along the scratch path and uplifting the material at the front and the sides of it. This observation is very important to provide a greater insight into the difference between up-cut and down-cut grinding material removal mechanisms. Multipasses scratch simulations were performed to demonstrate the influence of plowing on the ground surface formation. Moreover, by analyzing the effects of grinding conditions, the shape of cutting edges, and friction in grinding zone on the grinding surface formation, some useful relations between grinding performance and controllable parameters have been identified. It has demonstrated that plowing has significant influences on ground surface formation and concluded that the influence of grit shape, friction, and grinding kinetic condition should be considered together for the plowing behavior control, which could provide a good guidance for the improvement of grinding efficiency.

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