Results 11 to 20 of about 1,880,861 (238)
Multiple valued Jacobi fields [PDF]
Calculus of Variations and Partial Differential Equations, 2019 We develop a multivalued theory for the stability operator of (a constant multiple of) a minimally immersed submanifold $Σ$ of a Riemannian manifold $\mathcal{M}$. We define the multiple valued counterpart of the classical Jacobi fields as the minimizers of the second variation functional defined on a Sobolev space of multiple valued sections of the ...
Stuvard S
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Jacobi fields in nonholonomic mechanics
Journal of Physics A: Mathematical and Theoretical, 2022 Abstract 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 fields in two equivalent ways: the first one, using an appropriate complete lift of the nonholonomic ...
Alexandre Anahory Simoes +2 more
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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]
, 2007 In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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Jacobi fields, bundles and connections
, 2020 Tämä teksti käsittelee Jacobin kenttiä ja niiden määrittelemiseen tarvittavia rakenteita, erityisesti vektorikimppuja ja konnektioita. Lopputuloksena osoitetaan yksi yhteen-vastaavuus Jacobin kenttien ja geodeesiperheiden variaatiokenttien välillä.
Väisänen, Olli
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International Electronic Journal of Geometry, 2021 We generalize the concept of a Jacobi field to nonholonomic Riemannian geometry, considering both nonholonomic Jacobi fields, and, more generally, restricted Jacobi fields. In the first case, the corresponding Jacobi equation involves the nonholonomic connection and the Schouten curvature tensor.
Claudiu Remsing, Dennis I. Barrett
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On the generalized Jacobi equation. [PDF]
, 2008 The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities.
Perlick, Volker
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Estimates for multiple stochastic integrals and stochastic Hamilton-Jacobi equations [PDF]
, 2004 We study stochastic Hamilton-Jacobi-Bellman equations and the corresponding Hamiltonian systems driven by jump-type Lévy processes. The main objective of the present paper is to show existence, uniqueness and a (locally in time) diffeomorphism ...
Kolokoltsov, V. N. (Vasiliĭ Nikitich) +10 more
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The Lie symmetry analysis and exact Jacobi elliptic solutions for the Kawahara–KdV type equations
Results in Physics, 2021 In this article, we aim to employ two analytical methods including, the Lie symmetry method and the Jacobi elliptical solutions finder method to acquire exact solitary wave solutions in various forms of (1+1)-dimensional Kawahara–KdV type equation and ...
Behzad Ghanbari +3 more
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Covariant Variational Evolution and Jacobi brackets: Fields [PDF]
Modern Physics Letters A, 2020 The analysis of the covariant brackets on the space of functions on the solutions to a variational problem in the framework of contact geometry initiated in the companion letter[Formula: see text] is extended to the case of the multisymplectic formulation of the free Klein–Gordon theory and of the free Schrödinger equation.
Ciaglia, F. +4 more
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Journal of Inequalities and Applications, 2010 The use of twistor methods in the study of Jacobi fields has proved quite fruitful, leading to a series of results. L. Lemaire and J. C. Wood proved several properties of Jacobi fields along harmonic maps from the two-sphere to the complex projective ...
Bruno Ascenso Simões
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