Morphological transitions in Laplacian growth with variable anisotropy

1995 ◽  
Vol 218 (3-4) ◽  
pp. 249-270 ◽  
Author(s):  
Cristian Moukarzel
2021 ◽  
Vol 9 (1) ◽  
pp. 65-89
Author(s):  
Zhenzhen Yang ◽  
Yajuan Yang ◽  
Jiawei Sun ◽  
Baode Li

Abstract Let p(·) : ℝ n → (0, ∞] be a variable exponent function satisfying the globally log-Hölder continuous and let Θ be a continuous multi-level ellipsoid cover of ℝ n introduced by Dekel et al. [12]. In this article, we introduce highly geometric Hardy spaces Hp (·)(Θ) via the radial grand maximal function and then obtain its atomic decomposition, which generalizes that of Hardy spaces Hp (Θ) on ℝ n with pointwise variable anisotropy of Dekel et al. [16] and variable anisotropic Hardy spaces of Liu et al. [24]. As an application, we establish the boundedness of variable anisotropic singular integral operators from Hp (·)(Θ) to Lp (·)(ℝ n ) in general and from Hp (·)(Θ) to itself under the moment condition, which generalizes the previous work of Bownik et al. [6] on Hp (Θ).


1993 ◽  
Vol 24 (9) ◽  
pp. 701-705
Author(s):  
F Guinea ◽  
O Pla ◽  
E Louis

2017 ◽  
Vol 8 (35) ◽  
pp. 5374-5380 ◽  
Author(s):  
Renhua Deng ◽  
Yin Ning ◽  
Elizabeth R. Jones ◽  
Victoria J. Cunningham ◽  
Nicholas J. W. Penfold ◽  
...  

Dynamic covalent chemistry can be used to induce reversible morphological transitions for block copolymer nano-objects in mildly alkaline solution.


2006 ◽  
Vol 5 (2) ◽  
pp. 347-358 ◽  
Author(s):  
B. Eisman ◽  
R. Alonso-Monge ◽  
E. Román ◽  
D. Arana ◽  
C. Nombela ◽  
...  

ABSTRACT The Hog1 mitogen-activated protein (MAP) kinase mediates an adaptive response to both osmotic and oxidative stress in the fungal pathogen Candida albicans. This protein also participates in two distinct morphogenetic processes, namely the yeast-to-hypha transition (as a repressor) and chlamydospore formation (as an inducer). We show here that repression of filamentous growth occurs both under serum limitation and under other partially inducing conditions, such as low temperature, low pH, or nitrogen starvation. To understand the relationship of the HOG pathway to other MAP kinase cascades that also play a role in morphological transitions, we have constructed and characterized a set of double mutants in which we deleted both the HOG1 gene and other signaling elements (the CST20, CLA4, and HST7 kinases, the CPH1 and EFG1 transcription factors, and the CPP1 protein phosphatase). We also show that Hog1 prevents the yeast-to-hypha switch independent of all the elements analyzed and that the inability of the hog1 mutants to form chlamydospores is suppressed when additional elements of the CEK1 pathway (CST20 or HST7) are altered. Finally, we report that Hog1 represses the activation of the Cek1 MAP kinase under basal conditions and that Cek1 activation correlates with resistance to certain cell wall inhibitors (such as Congo red), demonstrating a role for this pathway in cell wall biogenesis.


2017 ◽  
Vol 7 (1) ◽  
Author(s):  
J. R. Nicolás-Carlock ◽  
J. L. Carrillo-Estrada ◽  
V. Dossetti

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
Ganesh Shete ◽  
Shyamprasad Karagadde ◽  
Atul Srivastava

AbstractThe present work reports the morphological transition during solidification of a non-metallic system. Pure magnesium silicate (Mg2SiO4) is chosen as the model material and the solidification experiments have been conducted under purely non-contact conditions using the principles of aerodynamic levitation. The influence of the undercooling and cooling rates on the surface features observed in the solidified samples is investigated. Levitation experiments have been performed for different samples, which are solidified for a range of undercooling levels between 360 to 1100° C. In order to understand and report the morphological transitions, solidified samples have been observed using scanning electron microscopy, which showed the formation of highly branched faceted microstructure for an undercooling regime of 360–800° C, and non-dendritic microstructure for even higher undercooling regime of 800–1100° C. Further experiments performed on this non-metallic system for different cooling rates also suggested that, regardless of the cooling rate, lower undercooling leads to branched faceted features, whereas higher undercooling results into unbranched facets. The methodology and instrumentation provide unique capabilities to probe the behavior of materials at high temperatures.


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