scostep 2010 (stp12) - Leibniz-Institut für Atmosphärenphysik an der ...

STP12 Abstracts
Berlin, 12 - 16 July 2010
SCOSTEP Symposium 2010
Initial Value Problem Approach of two Regions Model of System Solar: the Continuous
Spectrum
De Andrea González Angel
Departamento de Física. Escuela Politécnica Superior.Universidad Carlos III de Madrid. Av.
Universidad 30. 28911 Leganés (Madrid),
The standard mathematical procedures in Helioseismology field are based on normal mode approach
for various models of solar interior and atmosphere.
We consider a two region model of a system solar interior and solar atmosphere. The two different
regions are assumed quasi-isothermal and without magnetic fields and separated by a boundary z=0 .
In this work, in order to show how the modes appear in the response to an initial perturbation, we
consider the initial value problem (IPV). The main difference from the standard analysis is that
solutions to the linearized equations of motion which satisfy general conditions are obtained in terms
of Fourier-Laplace transform of the hydrodynamics variables .
These transforms can be inverted explicitly to express the fluid variables as integrals of Green´s
functions multiplied by initial data. In addition to discrete mode (f mode), a set of continuum modes
due to a branch cut in the complex plane, not treated explicitly in the literature, appears.