Minimizing the Lp norm of the curl of vector fields in a multi-connected domain

DOI10.1142/S0129167X17500045zbMath1370.49001OpenAlexW2568708175MaRDI QIDQ2970195

Junichi Aramaki

Publication date: 28 March 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x17500045

zbMATH Keywords

variational problemminimizing the \(L^p\) norm of curl

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for free problems in two or more independent variables (49K10)

Cites Work

• On a \(p\)-curl system arising in electromagnetism
• \(L^p\)-theory for vector potentials and Sobolev's inequalities for vector fields
• Degenerate parabolic equations
• Regularity of weak solutions for degenerate quasilinear elliptic equations involving operator curl
• Nucleation of instability of the Meissner state of 3-dimensional superconductors
• Minimizing curl in a multiconnected domain
• Finite Element Methods for Navier-Stokes Equations
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Minimizing the Lp norm of the curl of vector fields in a multi-connected domain