Generic properties of free boundary problems in plasma physics*
نویسندگان
چکیده
Abstract We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. show that general, sense domain variations, following alternative holds: either shape branch resembles monotone one model case two-dimensional disk, or it is a continuous simple curve without points which ends up at point where density vanishes. On other hand, we deduce general criterion ensuring existence interior domain. Application classic nonlinear eigenvalue problem also discussed.
منابع مشابه
On a Free Boundary Problem Arising in Plasma Physics
INTRODUCTION THE PROBLEM we study in this paper has its origin in plasma physics. It stems from a model describing the equilibrium of a plasma confined in a toroidal cavity (a “Tokamak machine”). For a detailed presentation of this model the reader is referred to [l, 21 and also to the appendix in [3]. Let 51 denote the meridian cross section of the cavity and Oz the axis of toroidal symmetry, ...
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ژورنال
عنوان ژورنال: Nonlinearity
سال: 2021
ISSN: ['0951-7715', '1361-6544']
DOI: https://doi.org/10.1088/1361-6544/ac3923