scholarly journals Nearly optimal stability for Serrin’s problem and the Soap Bubble theorem

Author(s):  
Rolando Magnanini ◽  
Giorgio Poggesi
Author(s):  
Sanghyeon Gil ◽  
Yunji Seok ◽  
Kiyeol Park ◽  
Jaeseok Yoo ◽  
Seongah Chin
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2021 ◽  
Vol 11 (7) ◽  
pp. 3090
Author(s):  
Sangwook Yoo ◽  
Cheongho Lee ◽  
Seongah Chin

To experience a real soap bubble show, materials and tools are required, as are skilled performers who produce the show. However, in a virtual space where spatial and temporal constraints do not exist, bubble art can be performed without real materials and tools to give a sense of immersion. For this, the realistic expression of soap bubbles is an interesting topic for virtual reality (VR). However, the current performance of VR soap bubbles is not satisfying the high expectations of users. Therefore, in this study, we propose a physically based approach for reproducing the shape of the bubble by calculating the measured parameters required for bubble modeling and the physical motion of bubbles. In addition, we applied the change in the flow of the surface of the soap bubble measured in practice to the VR rendering. To improve users’ VR experience, we propose that they should experience a bubble show in a VR HMD (Head Mounted Display) environment.


Author(s):  
Natalia A. Danilkina ◽  
Anastasia I. Govdi ◽  
Alexander F. Khlebnikov ◽  
Alexander O. Tikhomirov ◽  
Vladimir V. Sharoyko ◽  
...  
Keyword(s):  

2018 ◽  
Vol 56 (6) ◽  
pp. 416-416
Author(s):  
Peppino Sapia
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1866 ◽  
Vol 5 ◽  
pp. 593-594
Author(s):  
Tait

This communication was intended to illustrate by experiments with the solution of glycerine and oleate of soda, devised by Plateau, the mode in which a soap-bubble is detached as a closed shell from the mouth of a funnel; the mode in which two bubbles unite; and the process of cutting one into two or more.A statical investigation of the form of an unclosed film, blown with coal gas, was given (the kinetic problem presenting very grave difficulties), and the results were shown to be in accordance with observation, so far as the eye can follow the rapid change which takes place in the neck of the film just before the closed bubble is detached.


1869 ◽  
Vol 6 ◽  
pp. 292-293
Author(s):  
Tait

The tendency of the air contained in a soap-bubble is to expand in bulk, while that of the film is to contract in surface. Hence it becomes a curious question to decide whether both of these tendencies are not satisfied when two or more bubbles unite into one.The excess of pressure inside a bubble, of radius r, over the pressure of the external air, iswhere T is the contractile force of the film.


1976 ◽  
Vol 14 (1) ◽  
pp. 40-41
Author(s):  
Robert Gardner
Keyword(s):  

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