Extreme singular events associated with inertial-viscous cusp formation in fluids

2020 ◽  
Vol 32 (6) ◽  
pp. 062104
Author(s):  
D. Krishna Raja ◽  
S. P. Das ◽  
E. J. Hopfinger
Keyword(s):  
2018 ◽  
Vol 74 (2) ◽  
pp. I_1405-I_1410
Author(s):  
Naoyuki INUKAI ◽  
Yoshiki TSUKADA ◽  
Hiroshi YAMAMOTO
Keyword(s):  

2018 ◽  
Vol 98 (1) ◽  
pp. 98-106 ◽  
Author(s):  
J. Kim ◽  
Y. Ahn ◽  
D. Adasooriya ◽  
E.J. Woo ◽  
H.J. Kim ◽  
...  

Crown shapes in mammalian teeth vary considerably from species to species, and morphological characters in crown shape have been used to identify species. Cusp pattern is one of the characters in crown shape. In the processes governing the formation of cusp pattern, the Shh pathway has been implicated as an important player. Suppression of Shh signaling activity in vitro in explant assays appears to induce supernumerary cusp formation in wild-type tooth germs. However, the in vivo role of Shh signaling in cusp pattern formation and the molecular mechanisms by which Shh regulates cusp patterning are not clear. Here, through in vivo phenotypic analyses of mice in which Shh activity was suppressed and compared with wild-type mice, we characterized differences in the location, number, incidence, and shape of supernumerary cusps in molars at embryonic day 15.5. We found that the distances between cusps were reduced in molars of Shh activity–suppressed mice in vivo. These findings confirm and extend the previous idea that Shh acts as an inhibitor in the reaction-diffusion model for cusp pattern formation by negatively regulating the intercuspal distance. We uncovered a significant reduction of expression level of Sostdc1, which encodes a secreted modulator of Wnt signaling, after suppression of Shh activity. The supernumerary cusp formation in Sostdc1−/− mice and compound Sostdc1 and Lrp mutant mice indicates a strong association between Wnt and Shh signaling pathways in cusp patterning. In further support of this idea, there is a high degree of similarity in the supernumerary cusp patterns of mice lacking Sostdc1 or Shh at embryonic day 15.5. These results suggest that Shh plays an inhibitory role in cusp pattern formation by modulating Wnt signaling through the positive regulation of Sostdc1.


2006 ◽  
Vol 114 (1) ◽  
pp. 57-62 ◽  
Author(s):  
Makoto J. Tabata ◽  
Shintaro Kondo
Keyword(s):  

1993 ◽  
Vol 02 (02) ◽  
pp. 183-195 ◽  
Author(s):  
M. MOHAZZAB ◽  
R. BRANDENBERGER

The formation of cusps on long cosmic strings is discussed and the probability of cusp formation is estimated. The energy distribution of the gamma-ray background due to cusp annihilation on long strings is calculated and compared to observations. Under optimistic assumptions about the cusp formation rate, we find that strings with a mass per unit length μ less than Gμ=10−14 will have an observable effect. However, it is shown that the gamma-ray bursters cannot be attributed to long ordinary strings (or loops).


1997 ◽  
Vol 8 (1) ◽  
pp. 1-21 ◽  
Author(s):  
JUAN J. L. VELÁZQUEZ

We consider in this paper the classical one-phase Stefan problem in dimensions two and three in the undercooled situation. By means of matched asymptotic expansions, a mechanism of cusp formation is presented for interfaces that are initially smooth.


2019 ◽  
Vol 32 ◽  
pp. 67-71 ◽  
Author(s):  
Fumiya Meguro ◽  
Thantrira Porntaveetus ◽  
Maiko Kawasaki ◽  
Katsushige Kawasaki ◽  
Akane Yamada ◽  
...  
Keyword(s):  

2020 ◽  
Author(s):  
Christopher Daly ◽  
France Floc'h ◽  
Luis Pedro Almeida ◽  
Rafael Almar ◽  
Marion Jaud

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