Zobrazeno 1 - 10
of 3 503
pro vyhledávání: '"Jacobi fields"'
A new class of vector fields enabling the integration of first-order ordinary differential equations (ODEs) is introduced. These vector fields are not, in general, Lie point symmetries. The results are based on a relation between 2-dimensional Rieman
Externí odkaz:
http://arxiv.org/abs/2404.14352
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
The Allen-Cahn functional is a well studied variational problem which appears in the modeling of phase transition phenomenon. This functional depends on a parameter $\varepsilon >0$ and is intimately related to the area functional as the parameter $\
Externí odkaz:
http://arxiv.org/abs/2308.06414
Autor:
Alexander, Gareth P., Machon, Thomas
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2020 Jun 01. 476(2238), 1-14.
Externí odkaz:
https://www.jstor.org/stable/27097178
In this paper, we define Jacobi fields for nonholonomic mechanics using a similar characterization than in Riemannian geometry. We give explicit conditions to find Jacobi fields and finally we find the nonholonomic Jacobi equations in two equivalent
Externí odkaz:
http://arxiv.org/abs/2004.10457
Autor:
Chicone, Carmen, Mashhoon, Bahram
General relativistic tidal equations are formulated with respect to the rest frame of a central gravitational source described by the Kerr gravitational field. Specifically, observers that are spatially at rest in the exterior Kerr spacetime are cons
Externí odkaz:
http://arxiv.org/abs/2103.11340
Autor:
Hajdú, S., Mestdag, T.
Publikováno v:
Mediterranean Journal of Mathematics 18 (2021), article 73
We investigate Jacobi fields and conjugate points in the context of sprays. We first prove that the conjugate points of a spray remain preserved under a projective change. Then, we establish conditions on the projective factor so that the projectivel
Externí odkaz:
http://arxiv.org/abs/2009.00913
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
K zobrazení výsledku je třeba se přihlásit.
K zobrazení výsledku je třeba se přihlásit.
Nondegeneracy and the Jacobi Fields of Rotationally Symmetric Solutions to the Cahn-Hillard Equation
Autor:
Hernández, Álvaro, Kowalczyk, Michał
Publikováno v:
Indiana University Mathematics Journal, 2019 Jan 01. 68(4), 1047-1087.
Externí odkaz:
https://www.jstor.org/stable/26785922
Autor:
Alexander, Gareth P., Machon, Thomas
Publikováno v:
Proc. R. Soc. A 476, 20190903 (2020)
We develop a general framework for the description of instabilities on soap films using the Bj\"orling representation of minimal surfaces. The construction is naturally geometric and the instability has the interpretation as being specified by its am
Externí odkaz:
http://arxiv.org/abs/1912.13009