The Model Plasma Problem: Existence of a Solution Branch |
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Authors: | CALOZ G |
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Institution: |
Department of Mathematics, University of Maryland College Park, Maryland 20742, USA
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Abstract: | We are interested in the model plasma problem u = u+in ,u = d on , au+ dx=j where is a bounded domain in with boundary ; here, j isa given positive number, the function u and the positive number are the unknowns of the problem, and d is a real parameter.Using a variant of the implicit function theorem, we can provethe existence of a global solution branch parametrized by d.The method has the advantage that it can be used for analysingthe approximation of the above problem by a finite-element method. |
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