scholarly journals Transition to light-like trajectories in thin shell dynamics

2018 ◽  
Vol 936 ◽  
pp. 19-35 ◽  
Author(s):  
Robert B. Mann ◽  
Ian Nagle ◽  
Daniel R. Terno
Keyword(s):  
Thin Shell ◽  
Shell Dynamics

scholarly journals Thin shell dynamics and equations of state

2008 ◽  
Vol 78 (4) ◽  
Author(s):  
J. P. Krisch ◽  
E. N. Glass
Keyword(s):  
Thin Shell ◽  
Equations Of State ◽  
Shell Dynamics

Preparation and Electrocatalytic Performance of Thin-shell Ni/Pt Core-shell Nanoparticles

2012 ◽  
Vol 27 (1) ◽  
pp. 95-101
Author(s):  
Shi-Bin LIU ◽  
Chun-Ying YANG ◽  
Zhong-Lin ZHANG ◽  
Dong-Hong DUAN ◽  
Xiao-Gang HAO ◽  
...  
Keyword(s):  
Thin Shell ◽  
Core Shell ◽  
Shell Nanoparticles ◽  
Electrocatalytic Performance ◽  
Core Shell Nanoparticles

scholarly journals Thin shell aerogel fabrication for FIREX-I targets using high viscosity (phloroglucinol carboxylic acid)/formaldehyde solution

2008 ◽  
Vol 26 (3) ◽  
pp. 449-453 ◽  
Author(s):  
H. Yang ◽  
K. Nagai ◽  
M. Nakai ◽  
T. Norimatsu
Keyword(s):  
Carboxylic Acid ◽  
Thin Shell ◽  
Shell Thickness ◽  
High Viscosity ◽  
Formaldehyde Solution ◽  
Resorcinol Formaldehyde ◽  
Foam Structure ◽  
Final Density ◽  
Emulsion Process ◽  
High Level

AbstractCapsules with a thin aerogel shell were prepared by the OO/W/OIemulsion process. (Phloroglucinol carboxylic acid)/formaldehyde (PF) was used as the water phase (W) solution to form the shell of the capsule. PF is a linear polymer prepared from phloroglucinol carboxylic acid. The viscosity of the PF solution can reach a high level of 9×10−5m2/s without gelation while resorcinol/formaldehyde (RF) gelates at ~3–4×10−5m2/s. Using the viscous PF solution, capsule with a 17 µm gel shell was fabricated. This thickness satisfies the specification of the first phase of Fast Ignition Realization Experiment (FIREX-I) at Osaka University. When PF gel was extracted to remove the organic solvent, shrinkage of 9% occurred. The final density of the PF aerogel was 145 mg/cm3. Both the shell thickness and density can satisfy the specification of FIREX-I. The pore size of the PF aerogel was less than 100 nm while that of RF was 200–500 nm. The SEM showed that PF had particle-like foam structure while RF had fibrous-like foam structure.

scholarly journals Volume decay and concentration of high-dimensional Euclidean balls – a PDE and variational perspective

Analysis ◽  
2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Siran Li
Keyword(s):  
Banach Space ◽  
Discrete Geometry ◽  
Thin Shell ◽  
Euclidean Geometry ◽  
Convex Geometry ◽  
Regularity Theory ◽  
Elliptic Partial Differential Equations ◽  
High Dimensional ◽  
Space Theory ◽  
Elementary Calculus

AbstractIt is a well-known fact – which can be shown by elementary calculus – that the volume of the unit ball in \mathbb{R}^{n} decays to zero and simultaneously gets concentrated on the thin shell near the boundary sphere as n\nearrow\infty. Many rigorous proofs and heuristic arguments are provided for this fact from different viewpoints, including Euclidean geometry, convex geometry, Banach space theory, combinatorics, probability, discrete geometry, etc. In this note, we give yet another two proofs via the regularity theory of elliptic partial differential equations and calculus of variations.

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