Finite-Resistivity Stabilities of a Sheet Pinch

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概要

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• A simple but general approach to obtain the stability criteria is presented through an elementary proof of the uniqueness theorem for the higher order parabolic equations by constructing an energy inequality. The theorem is applied to the isothermal, resistive, viscous and incompressible magnetohy-drodynamical (MHD) equations of a sheet pinch where we reduce the equations into an equation governing the two dimensional vorticity and an equation governing the parallel motion with respect to the acting force. The theorem yields the conditions for the stable parallel motion and for the conservation of vorticity. The result is compared with other works and the effects of viscosity and resistivity are discussed.

• 社団法人日本物理学会の論文
• 1967-10-05

著者

• Wei Chau-chin

  Department Of Physics Nagoya University:institute Of Nuclear Science National Tsing Hua University

• Wei Chau-chin

  Department Of Physics Faculty Of Science Nagoya University:institute Of Nuclear Science National Tsi

関連論文

• Reductive Perturbation Method in Nonlinear Wave Propagation : II. Application to Hydromagnetic Waves in Cold Plasma
• Finite-Resistivity Stabilities of a Sheet Pinch
• Reductive Perturbation Method in Nonlinear Wave Propagation. I

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