Results 21 to 30 of about 102,332 (240)
Legendrian curve shortening flow in $\mathbb{R}^3$ [PDF]
Communications in Analysis and Geometry, 2018 Motivated by Legendrian curve shortening flows in $\mathbb{R}^{3}$, we study the curve shortening flow of figure-eight curves in the plane. We show that, under some symmetry and curvature conditions, a figure-eight curve will shrink to a point at the first singular time.
Drugan, Gregory +2 more
openaire +2 more sources
Curve shortening flow and smooth projective planes [PDF]
Communications in Analysis and Geometry, 2019 In this paper, we study a family of curves on $S^2$ that defines a two-dimensional smooth projective plane. We use curve shortening flow to prove that any two-dimensional smooth projective plane can be smoothly deformed through a family of smooth projective planes into one which is isomorphic to the real projective plane.
openaire +2 more sources
Homotopic curve shortening and the affine curve-shortening flow
, 2019 Journal of Computational Geometry, Vol. 12 No. 1 (2021)
Avvakumov, Sergey, Nivasch, Gabriel
openaire +4 more sources
Highly Degenerate Harmonic Mean Curvature Flow [PDF]
, 2008 We study the evolution of a weakly convex surface $\Sigma_0$ in $\R^3$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal regularity of the surface and we show that the boundaries of the flat
Caputo, M. Cristina +1 more
core +1 more source
Plunger Motion Law of Downhole Oil Well Pump under the Condition of Flexible Control
Shiyou jixie, 2022 The flexible control technology of beam pumping system is a kind of variable-speed drive technology.Its purpose is to change the working process of pumping unit and improve the efficiency of oil production,so it is somewhat advanced.However,the previous ...
Duan Zhigang +6 more
doaj
Convex ancient solutions to curve shortening flow [PDF]
Calculus of Variations and Partial Differential Equations, 2020 We show that the only convex ancient solutions to curve shortening flow are the stationary lines, shrinking circles, Grim Reapers and Angenent ovals, completing the classification initiated by Daskalopoulos, Hamilton and Sesum and X.-J ...
Bourni, Theodora +2 more
openaire +3 more sources
Journal of Business Management and Accounting, 2016 Inventory management is important in meeting customers’ requirements. Similarly, the effectiveness of supply chain management in the order fulfillment process is critical for the organization to stay in business.
Mohd Sobri Minai +3 more
doaj +1 more source
Curve shortening flow in heterogeneous media
Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications, 2011 In recent years, there has been a growing interest in geometric evolutions in heterogeneous media. Here we consider curvature driven flows of planar curves with an additional space-dependent forcing term, and we look for estimates which depend only on the L^\infty
Annalisa Cesaroni +2 more
openaire +3 more sources
The Role of Symmetry and Separation in Surface Evolution and Curve Shortening
Symmetry, Integrability and Geometry: Methods and Applications, 2011 With few exceptions, known explicit solutions of the curve shortening flow (CSE) of a plane curve, can be constructed by classical Lie point symmetry reductions or by functional separation of variables.
Philip Broadbridge, Peter Vassiliou
doaj +1 more source
PhotonicsIn freeform optical metrology, wavefront fitting over non-circular apertures is hindered by the loss of Zernike polynomial orthogonality and severe sampling grid distortion inherent in standard conformal mappings.
Tong Yang +3 more
doaj +1 more source