Publication: Mathematical study of a parabolic system describing the evolution of the solar magnetic field
Date
2004
Authors
Gianni, Roberto
Mannucci, Paola
Journal Title
Journal ISSN
Volume Title
Publisher
Università degli Studi di Trieste. Dipartimento di Matematica e Informatica
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 C0 estimate of such solution.
Description
Keywords
parabolic systems, periodic solutions
Citation
Roberto Gianni, Paola Mannucci, "Mathematical study of a parabolic system describing the evolution of the solar magnetic field", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 36 (2004), pp. 65-83.