New Applications on the Flows of Space-like curves specified by Normal acceleration in Minkowski Space ℝ 2 , 1
Abstract This paper investigates the kinematic motions of space-like and time-like curves specified by acceleration fields in Minkowski space ℝ 2 , 1 . Through the motion, the relationship between the acceleration fields and velocity fields is determined. In this study, we focus on studying the flow...
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| Published in: | Applied mathematics and nonlinear sciences 2024-01, Vol.9 (1) |
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| Main Authors: | , |
| Format: | Article |
| Language: | eng |
| Online Access: | Get full text |
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| Summary: | Abstract This paper investigates the kinematic motions of space-like and time-like curves specified by acceleration fields in Minkowski space ℝ 2 , 1 . Through the motion, the relationship between the acceleration fields and velocity fields is determined. In this study, we focus on studying the flows of inextensible space-like curves with a space-like principal normal vector specified by a normal acceleration that equals the curvature of the curve. Through the motion of the inextensible space-like curve with normal acceleration, we prove that the position vector of the curve satisfies a one-dimensional wave equation. We present some novel applications and visualize the flows of curves and their curvatures. |
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| ISSN: | 2444-8656 2444-8656 |