On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry

DOI10.1007/BF00376255zbMath0863.76092MaRDI QIDQ1919685

Jesús Ildefonso Díaz, Jean Michel Rakotoson

Publication date: 24 July 1996

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

convergenceiterative procedureexistence theoremaveragingnon-local termsnonlinear elliptic partial differential equationinverse-type problemrelative arrangementszero net current conditions

Mathematics Subject Classification ID

Free boundary problems for PDEs (35R35) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Related Items (21)

General pointwise relations for the relative rearrangement and applications ⋮ Mathematical treatment of the magnetic confinement in a current carrying stellarator ⋮ The Existence of a Generalized Solution of an m-Point Nonlocal Boundary Value Problem ⋮ Multivalued fixed point index and nonlocal problems involving relative rearrangement ⋮ On a fast bilateral filtering formulation using functional rearrangements ⋮ On the existence of the free boundary for some problems arising in plasma physics. ⋮ An Optimal Control Problem for a Nonlocal Problem on the Plane ⋮ Existence of solutions for a nonlocal problem arising in plasma physics ⋮ An elliptic-parabolic equation with a nonlocal term for the transient regime of a plasma in a stellarator. ⋮ A Nonlocal Inverse Problem for the Two-Dimensional Heat-Conduction Equation ⋮ On a nonlocal elliptic problem arising in the magnetic confinement of a plasma in a stellarator ⋮ Stability results for discontinuous nonlinear elliptic and parabolic problems with a S-shaped bifurcation branch of stationary solutions ⋮ On a nonlocal problem for a confined plasma in a tokamak. ⋮ Numerical solution of a nonlocal problem arising in plasma physics ⋮ Numerical Approximations of the Relative Rearrangement: The piecewise linear case. Application to some Nonlocal Problems ⋮ Nonlocal generalized models for a confined plasma in a tokamak ⋮ Nonlocal boundary value problems for a three-dimensional elliptic equation with singular coefficients in a semi-infinite parallelepiped ⋮ On a new type of boundary condition ⋮ Multiple stationary solutions of parabolic problem with discontinuous nonlinearities and their stability ⋮ On a nonlocal elliptic problem arising in the confinement of a plasma in a current carrying stellarator ⋮ Nonlocal Problem for a Three-dimensional Elliptic Equation with Singular Coefficients in a Rectangular Parallelepiped

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Directional derivative of the increasing rearrangement mapping and application to a queer differential equation in plasma physics
• A differentiability result for the relative rearrangement
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• Some properties of the relative rearrangement
• A co-area formula with applications to monotone rearrangement and to regularity
• Isoperimetric inequalities in the parabolic obstacle problems
• Relative rearrangement on a measure space. Application to the regularity of weighted monotone rearrangement. I
• On a free boundary problem arising in plasma physics
• A priori estimates for a model of grad mercier type in plasma confinement
• Establishment of magnetic coordinates for a given magnetic field
• Weakly Differentiable Functions
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Elliptic Partial Differential Equations of Second Order
• Symmetric Decreasing Rearrangement Is Sometimes Continuous
• Relative rearrangement for highly nonlinear equations
• Equilibrium calculations for helical axis stellarators

This page was built for publication: On a nonlocal stationary free-boundary problem arising in the confinement of a plasma in a stellarator geometry