Title

Existence Results For Coupled Nonlinear Systems Approximating The Rotating Mhd Flow Over A Rotating Sphere Near The Equator

Keywords

Existence theorem; Magneto-hydrodynamic flow; Navier-Stokes equations; Nonlinear system; Rotating flow; Schauder fixed point theorem

Abstract

We study a coupled nonlinear system of differential equation approximating the rotating MHD flow over a rotating sphere near the equator. In particular, using the Schauder fixed point theorem, we are able to establish existence of solutions. Other results on similar systems show that the question of existence in not obvious and, hence, that the present results are useful. Indeed, the work of McLeod in the 1970s shows some nonexistence results for similar problems. From here, we are also able to discuss some of the features of the obtained solutions. The observed behaviors of the solutions agree well with the numerical simulations present in the literature. © 2012 Springer Basel AG.

Publication Date

2-1-2013

Publication Title

Zeitschrift fur Angewandte Mathematik und Physik

Volume

64

Issue

1

Number of Pages

83-100

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1007/s00033-012-0221-0

Socpus ID

84873524253 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84873524253

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