A bound for the pressure integral in a plasma equilibrium

DOI10.1007/BF01048191zbMath1101.76422OpenAlexW1987256223MaRDI QIDQ2499902

Yoshikazu Giga, Zensho Yoshida

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01048191

zbMATH Keywords

Grad-Shafranov equationinterpolation inequalityPlasma equilibrium

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Ionized gas flow in electromagnetic fields; plasmic flow (76X05)

Cites Work

• An inverse problem originating from magnetohydrodynamics
• Asymptotic estimates for the plasma problem
• A non-linear eigenvalue problem: the shape at equilibrium of a confined plasma
• On Dirichlet's boundary value problem. An \(L^p\)-theory based on a generalization of Garding's inequality
• Convergence of a sequence of free boundary problems associated with the grad variational problem in plasma physics
• Remarks on a free Boundary Value Problem Arising in Plasma Physics
• Non-uniqueness in the equilibrium shape of a confined plasma^†
• Existence and Control of Plasma Equilibrium in a Tokamak
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