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The quasitrapping region (QTR) at the night side of a disturbed magnetosphere in the majority of models is either absent completely or merges with the plasma sheet of the magnetosphere tail.
      
It is shown that the release of energy of the geomagnetic tail begins from a disruption of the current sheet near the Earth.
      
The structure of substorm activity and the dynamics of auroral ions of the central plasma sheet (CPS) and energetic quasi-trapped ions related to the substorm are considered in the first part.
      
Current sheet thickness of the outer boundary of the magnetosphere as observed by four CLUSTER satellites
      
Dynamics of ion energy-dispersed structures near the plasma sheet outer boundary
      
Transient properties of spatial structures in the plasma sheet boundary layer
      
For example, the continuous vortex sheet breaks up with time forming vortex clusters of the Karman street type.
      
Numerical-analytical solution of problems of nonlinear filtration, mapped on the two-sheet region of the plane of a hodograph
      
The range of problems which can be reduced to linear boundary-value problems after the transformation of the hodograph is considerably broadened if mapping on non-single-sheet regions is admitted [1].
      
Actually, it is simplest of all to construct a flow by direct numerical solution of the problem in the two-sheet region of the plane of the hodograph, and then to return to the physical plane using known inversion formulas.
      
In the computations, the wing and its wake, replaced by a vortex sheet, are modeled by a system of discrete vortices which are nonlinear segments with constant circulation along the length.
      
Calculation of nonlinear aerodynamic characteristics of wing of complex planform allowing for nose vortex sheet
      
The set of solutions of the equation is studied on a two-sheet phase plane.
      
Reaction surface (flame-sheet) model in the theory of combustion of unmixed fuels.
      
The determination of the velocity potential in the leading part of the wing, where there is no influence of the vortex sheet, is reduced to the solution of a two-dimensional integral equation of the second kind.
      
The wake vortex sheet is represented by a free vortex surface.
      
At the same time, a discretization is also realized for the wake vortex sheet along the span of the wing.
      
The wake vortex sheet is represented by vortex filaments [7] in the nonlinear problem.
      
In the linear problem, the sheet is represented both by vortex filaments and by a vortex surface.
      
Asymptotic solution to the problem of viscous flow in the neighborhood of the axis of a vortex sheet
      
 

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