Maxwell-Stokes system with Robin boundary condition

摘要

This paper concerns the Maxwell-Stokes system with either curl-Robin boundary condition or mixed curl-Robin boundary condition. While the curl-Robin condition looks similar to the usual Robin condition for elliptic equations, the mixed curl-Robin condition involves the boundary value of the unknown potential and it arises naturally from the variational analysis in the space of vector fields with L-2 boundary value. The weak solutions of both problems will be obtained by variational methods and compact operator methods. The mixed curl-Robin problem of nonlinear Maxwell-Stokes system will also be examined.

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