Propagation of leaky surface waves on contact magnetohydrodynamic discontinuities in incompressible plasmas
Propagation of leaky surface waves on contact magnetohydrodynamic discontinuities in incompressible plasmas
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DOI：
10.1063/1.5050591
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发表时间：
2018-12
影响因子：
2.2
通讯作者：
M. Ruderman;E. Vickers;I. Ballai;R. Erdélyi
中科院分区：
文献类型：
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作者：
M. Ruderman;E. Vickers;I. Ballai;R. Erdélyi
研究了磁流体力学接触间断上的波传播。利用拉普拉斯变换，我们得到的解的初值问题描述的扰动的不连续性的演变。我们用这个解决方案来研究泄漏模式，确定的渐近行为的解决方案大的时间。我们找到了描述小磁场倾角下漏模的近似表达式。我们还讨论了当倾角趋于零时切向不连续的过渡。我们表明，有没有连续的过渡，从接触不连续的泄漏模式的表面模式切向不连续。然而，如果我们取描述漏模的平均量，这种转变是存在的。利用拉普拉斯变换，我们得到的解的初值问题描述的扰动的不连续性的演变。我们用这个解决方案来研究泄漏模式，确定的渐近行为的解决方案大的时间。我们找到了描述小磁场倾角下漏模的近似表达式。我们还讨论了当倾角趋于零时切向不连续的过渡。我们表明，有没有连续的过渡，从接触不连续的泄漏模式的表面模式切向不连续。然而，如果我们取描述漏模的平均量，则存在这样的转变。
We study the wave propagation on a magnetohydrodynamic contact discontinuity. Using the Laplace transform, we obtain the solution to the initial value problem describing the evolution of a perturbation of the discontinuity. We use this solution to study the leaky modes that determine the asymptotic behaviour of the solution for large time. We find the approximate expressions describing the leaky modes for a small inclination angle of the magnetic field. We also discuss the transition to the tangential discontinuity as the inclination angle tends to zero. We show that there is no continuous transition from the leaky modes on a contact discontinuity to the surface modes on a tangential discontinuity. However, such a transition exists if we take the average quantities describing the leaky modes.We study the wave propagation on a magnetohydrodynamic contact discontinuity. Using the Laplace transform, we obtain the solution to the initial value problem describing the evolution of a perturbation of the discontinuity. We use this solution to study the leaky modes that determine the asymptotic behaviour of the solution for large time. We find the approximate expressions describing the leaky modes for a small inclination angle of the magnetic field. We also discuss the transition to the tangential discontinuity as the inclination angle tends to zero. We show that there is no continuous transition from the leaky modes on a contact discontinuity to the surface modes on a tangential discontinuity. However, such a transition exists if we take the average quantities describing the leaky modes.