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On a nonlocal problem for a confined plasma in a Tokamak

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Abstract

The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms u′* (|u > u(x)|) and |u > u(x)|, which are neither local, nor continuous, nor monotone. By using the Galerkin approximate method and establishing some properties of the decreasing rearrangement, we prove the existence of solutions to such problem.

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Authors and Affiliations

  1. College of Mathematics and Information Science, Nanchang Hangkong University, Nanchang, 330063, China

    Weilin Zou & Boqiang Lv

  2. School of Mathematical Sciences, Dalian University of Technology, Dalian, 116024, China

    Fengquan Li

Authors
  1. Weilin Zou
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  2. Fengquan Li
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  3. Boqiang Lv
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Correspondence to Weilin Zou.

Additional information

This work is supported by Natural Science Foundation of Jiangxi (No. 20132BAB211006), NSFC (No. 10401009) and NCET (No. 060275) of China.

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Zou, W., Li, F. & Lv, B. On a nonlocal problem for a confined plasma in a Tokamak. Appl Math 58, 609–642 (2013). https://doi.org/10.1007/s10492-013-0031-5

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