Singularity formation in a class of stretched solutions of the equations for ideal magneto-hydrodynamics

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Singularity formation in a class of stretched solutions of the equations for ideal magneto-hydrodynamics

A class of stretched solutions of the equations for three-dimensional, incompressible, ideal magneto-hydrodynamics (MHD) is studied. In Elsasser variables, V ± = U ± B, these solutions have the form V ± = (v±, v± 3 ) where v± = v±(x, y, t) and v± 3 (x, y, z, t) = zγ±(x, y, t) + β±(x, y, t). Twodimensional partial differential equations for γ±, v± and β± are obtained that are valid in a tubular ...

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ژورنال

عنوان ژورنال: Nonlinearity

سال: 2001

ISSN: 0951-7715,1361-6544

DOI: 10.1088/0951-7715/14/5/316