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Creators/Authors contains: "Bian, Dongfen"

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  1. ; ; (, Mathematical Models and Methods in Applied Sciences)
    null (Ed.)
    The [Formula: see text]-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescribed current along the [Formula: see text] direction. We develop a variational framework to study its stability in the absence of viscosity effect, and demonstrate for the first time that such a [Formula: see text]-pinch is always unstable. Moreover, we discover a sufficient condition such that the eigenvalues can be unbounded, which leads to ill-posedness of the linearized MHD system. 
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  2. ; ; (, Mathematical models and methods in applied sciences)
    Accepted Manuscript Full Text Available
  3. ; ; (, Mathematical Models and Methods in Applied Sciences)
    null (Ed.)
    The [Formula: see text]-pinch is a classical steady state for the MHD model, where a confined plasma fluid is separated by vacuum, in the presence of a magnetic field which is generated by a prescribed current along the [Formula: see text]-direction. We develop a scaled variational framework to study its stability in the presence of viscosity effect, and demonstrate that any such [Formula: see text]-pinch is always unstable. We also establish the existence of a largest growing mode, which dominates the linear growth of the linear MHD system. 
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  4. ; ; (, Mathematical models and methods in applied sciences)
    null (Ed.)
    Accepted Manuscript Full Text Available