Tubular surfaces associated with framed base curves in Euclidean 3‐space

2021 ◽  
Author(s):  
Kemal Eren ◽  
Önder Gökmen Yıldız ◽  
Mahmut Akyiğit
Keyword(s):  
Tubular Surfaces

Water Boiling at Tubular Surfaces Formed by Cavities

1998 ◽  
Vol 29 (1-3) ◽  
pp. 8-13
Author(s):  
A. A. Khalatov ◽  
G. V. Kovalenko ◽  
G. G. Geletuha
Keyword(s):  
Tubular Surfaces

Directional tubular surfaces

2015 ◽  
Vol 9 ◽  
pp. 527-535 ◽  
Author(s):  
Mustafa Dede ◽  
Cumali Ekici ◽  
Hatice Tozak
Keyword(s):  
Tubular Surfaces

scholarly journals Harmonic Evolute Surface of Tubular Surfaces via B -Darboux Frame in Euclidean 3-Space

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
E. M. Solouma ◽  
Ibrahim AL-Dayel
Keyword(s):  
Mean Curvature ◽  
Normal Vector ◽  
Unit Normal Vector ◽  
Geometric Characteristics ◽  
Darboux Frame ◽  
Tubular Surfaces ◽  
Unit Normal

In this article, we look at a surface associated with real-valued functions. The surface is known as a harmonic surface, and its unit normal vector and mean curvature have been used to characterize it. We use the Bishop-Darboux frame ( B -Darboux frame) in Euclidean 3-space E 3 to study and explain the geometric characteristics of the harmonic evolute surfaces of tubular surfaces. The characterizations of the harmonic evolute surface’s ϱ and ς parameter curves are evaluated, and then, they are compared. Finally, an example of a tubular surface’s harmonic evolute surface is presented, along with visuals of these surfaces.

Entire solutions of a variation of the eikonal equation and related PDEs

2020 ◽  
Vol 63 (3) ◽  
pp. 697-708
Author(s):  
Feng Lü
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Entire Function ◽  
Eikonal Equation ◽  
Entire Solutions ◽  
Partial Differential ◽  
Tubular Surfaces

AbstractThe aim of this paper is twofold. The first aim is to describe the entire solutions of the partial differential equation (PDE) $u_{z_1}^2+2Bu_{z_1}u_{z_2}+u_{z_2}^2=e^g$, where B is a constant and g is a polynomial or an entire function in $\mathbb {C}^2$. The second aim is to consider the entire solutions of another PDE, which is a generalization of the well-known PDE of tubular surfaces.

Tubular Surfaces Formed by Semi-spherical Indicatrices in $$E_1^3$$

2020 ◽  
Vol 17 (4) ◽  
Author(s):  
Fatma Ateş ◽  
Erdem Kocakuşaklı ◽  
İsmail Gök ◽  
Nejat Ekmekci
Keyword(s):  
Tubular Surfaces

scholarly journals On the tubular surfaces in E3

2017 ◽  
Vol 1 (5) ◽  
pp. 40-50 ◽  
Author(s):  
Ali Cakmak ◽  
Omer Tarakci
Keyword(s):  
Tubular Surfaces

Modeling of Sparsely Sampled Tubular Surfaces Using Coupled Curves

2012 ◽  
pp. 83-92 ◽  
Author(s):  
Thorsten Schmidt ◽  
Margret Keuper ◽  
Taras Pasternak ◽  
Klaus Palme ◽  
Olaf Ronneberger
Keyword(s):  
Tubular Surfaces
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