Two-variable Wiman-Valiron theory and PDEs
نویسندگان
چکیده
منابع مشابه
The Size of Wiman-valiron Disks
Wiman-Valiron theory and results of Macintyre about “flat regions” describe the asymptotic behavior of entire functions in certain disks around points of maximum modulus. We estimate the size of these disks for Macintyre’s theory from above and below.
متن کاملSimple Two Variable Refined Theory for Shear Deformable Isotropic Rectangular Beams
In this paper, a displacement-based, variationally consistent, two variable refined theory for shear deformable beams is presented. The beam is assumed to be of linearly elastic, homogeneous, isotropic material and has a uniform rectangular cross-section. In this theory, the beam axial displacement and beam transverse displacement consist of bending components and shearing components. The assum...
متن کاملStochastic PDEs in Turbulence Theory
This paper reviews the recent progress on stochastic PDEs arising from different aspects of the turbulence theory including the stochastic Navier-Stokes equation, stochastic Burgers equation and stochastic passive scalar and passive vector equations. Issues discussed include the existence of invariant measures, scaling of the structure functions, asymptotic behavior of the probability density f...
متن کاملWiman and Arima Theorems for Quasiregular Mappings
It follows from the Ahlfors theorem that an entire holomorphic function f of order ρ has no more than 2ρ distinct asymptotic curves where r stands for the largest integer ≤ r. This theorem does not give any information if ρ < 1/2, This case is covered by two theorems: if an entire holomorphic function f has order ρ < 1/2 then lim supr→∞min|z| r |f z | ∞ Wiman 1 and if f is an entire holomorphic...
متن کاملThermal Buckling Analysis of Graphene Nanoplates Based on the Modified Couple Stress Theory using Finite Strip Method and Two-Variable Refined Plate Theory
Graphene is one of the nanostructured materials that has recently attracted the attention of many researchers. This is due to the increasing expansion of nanotechnology and the application of this nanostructure in technology and industry owing to its mechanical, electrical and thermal properties. Thermal buckling behavior of single-layered graphene sheets is studied in this paper. Given the fai...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae Mathematica
سال: 2010
ISSN: 1239-629X,1798-2383
DOI: 10.5186/aasfm.2010.3535