AN INVERSE PROBLEM ORIGINATING FROM MAGNETOHYDRODYNAMICS .2. THE CASE OF THE GRAD-SHAFRANOV EQUATION

被引：9

作者：

BERETTA, E ^{[1
]}

VOGELIUS, M ^{[1
]}

机构：

[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

INDIANA UNIVERSITY MATHEMATICS JOURNAL | 1992年 / 41卷 / 04期

关键词：

D O I：

10.1512/iumj.1992.41.41055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The socalled Grad-Shafranov equation is a semilinear elliptic equation which is commonly used to model the plasma equlibrium in a Tokamak. We study an inverse problem associated with this equation. We show that knowledge of the normal derivative of the poloidal magnetic flux on the plasma boundary uniquely determines the functional form of the source terms within the class of analytic functions, provided the boundary has a (certain type of) corner. This result may in some ways be seen as an extension of a previously established result for the equation DELTAu = -f(u) less-than-or-equal-to 0, cf. [2].

引用

页码：1081 / 1118

页数：38

共 23 条

[1] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].