We study a system of two strongly coupled parabolic equations describing a solar dynamo wave. We investigate the existence and uniqueness of a classical solution and the existence of a periodic in time solution. In the Appendix, an existence result of periodic solutions for an auxiliary quasilinear parabolic equation is provided, together with a Co estimate of such solution.
Mathematical study of a parabolic system describing the evolution of the solar magnetic field
MANNUCCI, PAOLA
2004
Abstract
We study a system of two strongly coupled parabolic equations describing a solar dynamo wave. We investigate the existence and uniqueness of a classical solution and the existence of a periodic in time solution. In the Appendix, an existence result of periodic solutions for an auxiliary quasilinear parabolic equation is provided, together with a Co estimate of such solution.
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