Results 21 to 30 of about 19,878,416 (347)

Explanation of the cell orientation in a nanofiber membrane by the geometric potential theory

open access: yesResults in Physics, 2019
Cell orientation plays an important role in tissue engineering, and many experiments showed that aligned nanofibers have a good guide for cell orientation, but its biomechanism is not clear.
Jie Fan   +6 more
semanticscholar   +1 more source

Monogenic Functions in a Finite-Dimensional Semi-Simple Commutative Algebra

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014
We obtain a constructive description of monogenic functions taking values in a finite-dimensional semi-simple commutative algebra by means of holomorphic functions of the complex variable.
Plaksa S. A., Pukhtaievych R. P.
doaj   +1 more source

Elastic Stress Field beneath a Sticking Circular Contact under Tangential Load

open access: yesSolids, 2023
Based on a potential theoretical approach, the subsurface stress field is calculated for an elastic half-space which is subject to normal and uniaxial tangential surface tractions that—in the case of elastic decoupling—correspond to rigid normal and ...
Emanuel Willert
doaj   +1 more source

On the cross-section of shaped fibers in the dry spinning process: Physical explanation by the geometric potential theory

open access: yesResults in Physics, 2019
Shaped fibers with irregular cross-section has large specific surface area, high air permeability and low pressure drop, and are widely used in cigarette filters. Cellulose acetate shaped fibers are produced by the dry spinning, and fibers’ cross-section
Zhanping Yang   +9 more
semanticscholar   +1 more source

Integral theorems for the quaternionic G-monogenic mappings

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In the paper [1] considered a new class of quaternionic mappings, so- called G-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and ...
Shpakivskyi V. S., Kuzmenko T. S.
doaj   +1 more source

Problem on extremal decomposition of the complex plane

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In geometric function theory of a complex variable problems on extremal decomposition with free poles on the unit circle are well known.
Denega Iryna, Zabolotnii Yaroslav
doaj   +1 more source

Modified logarithmic potential theory and applications [PDF]

open access: yes, 2015
We develop potential theory including a Bernstein-Walsh type estimate for functions of the form $p(z)q(f(z))$ where $p,q$ are polynomials and $f$ is holomorphic.
T. Bloom   +3 more
semanticscholar   +1 more source

On logarithmic residue of monogenic functions in a three-dimensional commutative algebra with one-dimensional radical

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
We consider monogenic functions taking values in a three-dimensional commutative algebra A2 over the field of complex numbers with one- dimensional radical. We calculate the logarithmic residues of monogenic functions acting from a three-dimensional real
Pukhtaievych Roman, Plaksa Sergiy
doaj   +1 more source

Computational Modeling of Lymph Filtration and Absorption in the Lymph Node by Boundary Integral Equations

open access: yesAlgorithms, 2022
We develop a numerical method for solving three-dimensional problems of fluid filtration and absorption in a piecewise homogeneous medium by means of boundary integral equations.
Alexey Setukha, Rufina Tretiakova
doaj   +1 more source

Reconstruction of the interplanetary magnetic field from the magnetosheath data: A steady-state approach

open access: yesFrontiers in Physics, 2022
In the steady-state picture, the magnetic field can be formulated by a curl-free potential field in the magnetosheath region, and the sheath field is uniquely and linearly determined by the upstream field and the transformation matrix which contains the ...
S. Toepfer, Y. Narita, D. Schmid
doaj   +1 more source

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