Three-dimensional singularities of a thin plasma slab

Details Three-dimensional singularities of a thin plasma slab Three-dimensional singularities of a thin plasma slab

Jul 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phrve..64a6415p&link_type=abstract

Physical Review E, vol. 64, Issue 1, id. 016415

Physics

9

Magnetohydrodynamics And Plasmas, Nonlinearity, Bifurcation, And Symmetry Breaking, Shock Waves And Discontinuities, Macroinstabilities

Scientific paper

The three-dimensional (3D) nonlinear development of the interchangelike (Rayleigh-Taylor) instability of a thin slab of plasma exhibits interesting features with respect to its two-dimensional (2D) limit investigated by Bulanov, Pegoraro, and Sakai [Phys. Rev. E 59, 2292 (1999)]. We show that, contrary to the 2D case, the 3D evolution equations remain nonlinear when Lagrangian variables are adopted. Explicit solutions are found by the use of a generalized hodograph transformation. Both compression and rarefaction singularities are formed. Local solutions in the neighborhood of the singular points have a generic 2D character.

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