Collisionless Slowing Down of Nova and Supernova Shells in Magnetized Interstellar Medium

The moving boundary problem in the presence of a dipole magnetic field

“…One important example is sudden expansion of hot plasma with a sharp boundary in an external magnetic field which is particularly of interest for many astrophysical and laboratory applications (see, e.g., [4] and references therein). Such kind of processes arise during the dynamics of solar flares and flow of the solar wind around the earth's magnetosphere, in active experiments with plasma clouds in space, and in the course of interpreting a number of astrophysical observations [3][4][5][6][7][8][9]. Researches on this problem are of considerable interest in connection with experiments on controlled thermonuclear fusion [11] (a recent review [4] summarizes research in this area over the past four decades).…”

“…To study the radial dynamics and evolution of the initially spherical plasma cloud both analytical and numerical approaches were developed (see, e.g., [3][4][5][6][7][8][9] and references therein). The plasma cloud is shielded from the penetration of the external magnetic field by means of surface currents * Electronic address: hrachya@irphe.am circulating inside the thin layer on the plasma boundary.…”

Expansion of a cold non-neutral plasma slab

“…[27][28][29][30][31][32][33][34] Finally, it should be mentioned that the method of analysis used here is similar to the Karman momentum integral method for treating moving boundary layers. 35 Moreover, higher-dimensional solutions, whose base structures have to be found by trial and error, 37,38 can also exist.…”

Resistive magnetohydrodynamic model for cylindrical plasma expansion in a magnetic field

“…(1). Thus one can expect some deformation of the initially isotropic plasma surface [4,5] and the plasma radius R(t, ϕ) should be treated as a function of ϕ. On the other hand, in this regime the plasma radius R(t, ϕ) cannot be treated as a given function of time and should be determined self-consistently using, for instance, the equation of balance of plasma (∼ ρṘ 2 ) and magnetic field (∼ H 2 ) energies [19].…”

“…[1][2][3][4][5] and references therein). In particular, such process is a topic of intense interest across a wide variety of disciplines, with applications to solar [6] and magnetospheric [7,8] physics, astrophysics [9], and pellet injection for tokamak refueling [10].…”