On a nonlocal problem for a confined plasma in a Tokamak

Weilin Zou; Fengquan Li; Boqiang Lv

Applications of Mathematics (2013)

  • Volume: 58, Issue: 6, page 609-642
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Zou, Weilin, Li, Fengquan, and Lv, Boqiang. "On a nonlocal problem for a confined plasma in a Tokamak." Applications of Mathematics 58.6 (2013): 609-642. <http://eudml.org/doc/260658>.

@article{Zou2013,
abstract = {The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms $u^\{\prime \}_\{\ast \}(|u>u(x)|)$ 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.},
author = {Zou, Weilin, Li, Fengquan, Lv, Boqiang},
journal = {Applications of Mathematics},
keywords = {nonlinear elliptic equation; relative rearrangement; Tokamak; decreasing rearrangement; plasma physics; nonlinear elliptic equation; decreasing rearrangement; relative rearrangement; Galerkin method; tokamak; plasma physics},
language = {eng},
number = {6},
pages = {609-642},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On a nonlocal problem for a confined plasma in a Tokamak},
url = {http://eudml.org/doc/260658},
volume = {58},
year = {2013},
}

TY - JOUR
AU - Zou, Weilin
AU - Li, Fengquan
AU - Lv, Boqiang
TI - On a nonlocal problem for a confined plasma in a Tokamak
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 6
SP - 609
EP - 642
AB - The paper deals with a nonlocal problem related to the equilibrium of a confined plasma in a Tokamak machine. This problem involves terms $u^{\prime }_{\ast }(|u>u(x)|)$ 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.
LA - eng
KW - nonlinear elliptic equation; relative rearrangement; Tokamak; decreasing rearrangement; plasma physics; nonlinear elliptic equation; decreasing rearrangement; relative rearrangement; Galerkin method; tokamak; plasma physics
UR - http://eudml.org/doc/260658
ER -

References

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