Disjoining pressure in a symmetric circular slit

2014 ◽  
Vol 76 (5) ◽  
pp. 526-530 ◽  
Author(s):  
E. N. Brodskaya ◽  
A. I. Rusanov
2011 ◽  
Vol 204 ◽  
pp. 19-56 ◽  
Author(s):  
Sachiko Hamano ◽  
Fumio Maitani ◽  
Hiroshi Yamaguchi

AbstractA domainD⊂ Czadmits the circular slit mappingP(z) fora, b∈Dsuch thatP(z) – 1/(z–a) is regular ataandP(b) = 0. We callp(z) =log|P(z)|theLi-principal functionandα= log |P′(b)| theL1-constant, and similarly, the radial slit mappingQ(z) implies theL0-principal functionq(z) and theL0-constantβ. We calls=α–βtheharmonic spanfor (D, a, b). We show the geometric meaning ofs. Hamano showed the variation formula for theL1-constantα(t) for the moving domainD(t) in Czwitht∈B:= {t∈ C: |t| <ρ}. We show the corresponding formula for theL0-constantβ(t) forD(t) and combine these to prove that, if the total spaceD =∪t∈B(t, D(t)) is pseudoconvex inB× Cz, thens(t) is subharmonic onB. As a direct application, we have the subharmonicity of log coshd(t) onB, whered(t) is the Poincaré distance betweenaandbonD(t).


2010 ◽  
Vol 31 (2) ◽  
pp. 107-112
Author(s):  
S. B. Bulgarevich ◽  
M. V. Boiko ◽  
V. I. Kolesnikov ◽  
E. E. Akimova

2012 ◽  
Vol 9 ◽  
pp. 160-165 ◽  
Author(s):  
Mohammad Mohammadi-Khanaposhtani ◽  
Alireza Bahramian ◽  
Peyman Pourafshary ◽  
Babak Aminshahidy ◽  
Babak Fazelabdolabadi

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