On a version of the de Rham theorem and an application to the Maxwell-Stokes type problem

DOI10.1007/s41478-020-00284-4zbMath1473.35394OpenAlexW3101519171MaRDI QIDQ2047342

Junichi Aramaki

Publication date: 19 August 2021

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-020-00284-4

zbMATH Keywords

weak solutionde Rham theoremboundary value of potentialMaxwell-Stokes-type problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Navier-Stokes equations (35Q30) de Rham theory in global analysis (58A12) Variational methods for second-order elliptic equations (35J20)

Cites Work

• Unnamed Item
• Existence and regularity of solutions to quasilinear systems of Maxwell type and Maxwell-Stokes type
• \(L^p\)-theory for vector potentials and Sobolev's inequalities for vector fields
• Vector potential theory on nonsmooth domains in \(\mathbb{R}^ 3\) and applications to electromagnetic scattering
• Mathematical tools for the study of the incompressible Navier-Stokes equations and related models
• Applications of a version of the de Rham lemma to the existence theory of a weak solution to the Maxwell-Stokes type equation
• Su un problema al contorno relativo al sistema di equazioni di Stokes
• A CLASS OF STATIONARY NONLINEAR MAXWELL SYSTEMS
• Finite Element Methods for Navier-Stokes Equations
• Decomposition of vector spaces and application to the Stokes problem in arbitrary dimension
• Variational problem involving operator curl associated with p -curl system
• L^p-THEORY FOR VECTOR POTENTIALS AND SOBOLEV'S INEQUALITIES FOR VECTOR FIELDS: APPLICATION TO THE STOKES EQUATIONS WITH PRESSURE BOUNDARY CONDITIONS
• Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain

This page was built for publication: On a version of the de Rham theorem and an application to the Maxwell-Stokes type problem