Výsledky vyhledávání - "Yamada, Michio"

Report

Steady Compressible 3D Euler Flows in Toroidal Volumes without Continuous Euclidean Isometries

Autor: Sato, Naoki, Yamada, Michio

We demonstrate the existence of smooth three-dimensional vector fields where the cross product between the vector field and its curl is balanced by the gradient of a smooth function, with toroidal level sets that are not invariant under continuous Eu

Externí odkaz: http://arxiv.org/abs/2408.16339

Zobrazit plný text záznamu

Report

A Reduced Ideal MHD System for Nonlinear Magnetic Field Turbulence in Plasmas with Approximate Flux Surfaces

Autor: Sato, Naoki, Yamada, Michio

Publikováno v: Journal of Mathematical Physics 65 093101 (2024)

This paper studies the nonlinear evolution of magnetic field turbulence in proximity of steady ideal MHD configurations characterized by a small electric current, a small plasma flow, and approximate flux surfaces, a physical setting that is relevant

Externí odkaz: http://arxiv.org/abs/2311.03095

Zobrazit plný text záznamu

Report

Hamiltonian Structure and Nonlinear Stability of Steady Solutions of the Generalized Hasegawa-Mima Equation for Drift Wave Turbulence in Curved Magnetic Fields

Autor: Sato, Naoki, Yamada, Michio

Publikováno v: Physica D 459 (2024) 134031

The Generalized Hasegawa-Mima (GHM) equation, which generalizes the standard Hasegawa-Mima (HM) equation, is a nonlinear equation describing the evolution of drift wave turbulence in curved magnetic fields. The GHM equation can be obtained from a dri

Externí odkaz: http://arxiv.org/abs/2305.16668

Zobrazit plný text záznamu

Report

Guiding Center Derivation of the Generalized Hasegawa-Mima Equation for Drift Wave Turbulence in Curved Magnetic Fields

Autor: Sato, Naoki, Yamada, Michio

Publikováno v: Physica D 459 (2024) 134031

Recently, a generalized Hasegawa-Mima (gHM) equation describing drift wave turbulence in curved magnetic fields has been derived in [N. Sato and M. Yamada, J. Plasma Phys. (2022), vol. 88, 905880319] for an ion-electron plasma modeled as a two-fluid

Externí odkaz: http://arxiv.org/abs/2305.16660

Zobrazit plný text záznamu

Report

Nested invariant tori foliating a vector field and its curl: toward MHD equilibria and steady Euler flows in toroidal domains without continuous Euclidean isometries

Autor: Sato, Naoki, Yamada, Michio

Publikováno v: Journal of Mathematical Physics 64, 081505, 2023

This paper studies the problem of finding a three-dimensional solenoidal vector field such that both the vector field and its curl are tangential to a given family of toroidal surfaces. We show that this question can be translated into the problem of

Externí odkaz: http://arxiv.org/abs/2211.10757

Zobrazit plný text záznamu

Report

Vorticity equation on surfaces with arbitrary topology

Autor: Sato, Naoki, Yamada, Michio

Publikováno v: J. Math. Phys. 63, 093101 (2022)

We derive the vorticity equation for an incompressible fluid on a 2-dimensional surface with arbitrary topology embedded in 3-dimensional Euclidean space by using a tailored Clebsch parametrization of the flow. In the inviscid limit, we identify cons

Externí odkaz: http://arxiv.org/abs/2112.00416

Zobrazit plný text záznamu

Report

A Generalized Hasegawa-Mima Equation in Curved Magnetic Fields

Autor: Sato, Naoki, Yamada, Michio

Publikováno v: Journal of Plasma Physics 88, 3 (2022)

We derive a model equation describing electrostatic plasma turbulence in general (inhomogeneous and curved) magnetic fields by analysing the effect of curved geometry on the ion fluid polarization drift velocity. The derived nonlinear equation genera

Externí odkaz: http://arxiv.org/abs/2111.10509

Zobrazit plný text záznamu