Energy Conservation in Lagrange-remap Modeling for Ideal-mhd Shock Propagation (u)

Nonlinear wave propagation and reconnection at magnetic X-points in the Hall MHD regime

Context. The highly dynamical, complex nature of the solar atmosphere naturally implies the presence of waves in a topologically varied magnetic environment. Here, the interaction of waves with topological features such as null points is inevitable and potentially important for energetics. The low resistivity of the solar coronal plasma implies that non-magnetohydrodynamic (MHD) effects should ...

شبیه‌سازی امواج ضربه‌ای مگنتوهیدرودینامیکی (MHD) در پلاسمایی از نوع تنگش Z

  A plasma focus facility is a magnetically confinement fusion device, characterized by a relatively simple structure. Nowadays, it is a well-known fact that the theory of shock waves stands for temperature increment in plasma of a PF device. On the other hand, we also know that computer simulations can make experimental works easier and more cost- effective. So based on the MHD theory, shock w...

تأثیر مقیاس زمان سرمایش و غیر ایده‌آل بودن گاز در امواج ضربه ای

According to the suddenly compression of the matters in some regions of the compressible fluids, the density and temperature suddenly increases, and shockwaves can be produced. The cooling of post-shock region and non-idealness of the equation of state, $p=(k_B/mu m_p)rho T (1+brho) equivmathcal{K}rho T (1+eta R)$, where $mu m_p$ is the relative density of the post-shock gas and $Requiv rho_2 /...

Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD

For weak solutions of the incompressible Euler equations, there is energy conservation if the velocity is in the Besov spaceB3 s with s greater than 1/3. B p s consists of functions that are Lip(s) (i.e., Hölder continuous with exponent s) measured in the L norm. Here this result is applied to a velocity field that is Lip(α0) except on a set of co-dimension κ1 on which it is Lip(α1), with unifo...

A note on the energy conservation of the ideal MHD equations