Zobrazeno 1 - 10
of 49
pro vyhledávání: '"Onodera, Eiji"'
Autor:
Onodera, Eiji
This paper is concerned with the initial value problem for a system of one-dimensional fourth-order dispersive partial differential equations on the torus with nonlinearity involving derivatives up to second order. This paper gives sufficient conditi
Externí odkaz:
http://arxiv.org/abs/2411.00452
Autor:
Onodera, Eiji
This paper investigates the initial value problem for a system of one-dimensional fourth-order dispersive partial differential-integral equations with nonlinearity involving derivatives up to second order. Examples of the system arise in relation wit
Externí odkaz:
http://arxiv.org/abs/2407.18605
Structure of a fourth-order dispersive flow equation through the generalized Hasimoto transformation
Autor:
Onodera, Eiji
This paper focuses on a one-dimensional fourth-order nonlinear dispersive partial differential equation for curve flows on a K\"ahler manifold. The equation arises as a fourth-order extension of the one-dimensional Schr\"odinger flow equation, with p
Externí odkaz:
http://arxiv.org/abs/2405.00412
Autor:
Onodera, Eiji
We establish the uniqueness of a smooth generalized bi-Schr\"odinger flow from the one-dimensional flat torus into a compact locally Hermitian symmetric space. The governing equation, which is satisfied by sections of the pull-back bundle induced fro
Externí odkaz:
http://arxiv.org/abs/2005.10575
Autor:
Onodera, Eiji, Yamasaki, Haruka
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2021 503(1)
Autor:
Onodera, Eiji
This paper is concerned with a fourth order nonlinear dispersive partial differential equation for closed curve flow on a K\"ahler manifold. The main results is that the initial value problem has a solution locally in time if the K\"ahler manifold is
Externí odkaz:
http://arxiv.org/abs/1606.04664
Autor:
Onodera, Eiji
A fourth-order dispersive flow equation for closed curves on the canonical two-dimensional unit sphere arises in some contexts in physics and fluid mechanics. In this paper, a geometric generalization of the sphere-valued model is considered, where t
Externí odkaz:
http://arxiv.org/abs/1606.03915
Autor:
Chihara, Hiroyuki, Onodera, Eiji
We discuss a short-time existence theorem of solutions to the initial value problem for a fourth-order dispersive flow for curves parametrized by the real line into a compact K\"ahler manifold. Our equations geometrically generalize a physical model
Externí odkaz:
http://arxiv.org/abs/1308.5542
Autor:
Onodera, Eiji
We prove global existence of solutions to the initial value problem for a third order dispersive flow into compact locally Hermitian symmetric spaces. The equation we consider generalizes two-sphere-valued completely integrable systems modelling the
Externí odkaz:
http://arxiv.org/abs/0906.3171