Existence results for coupled nonlinear systems approximating the rotating MHD flow over a rotating sphere near the equator
Abbreviated Journal Title
Z. Angew. Math. Phys.
Rotating flow; Magneto-hydrodynamic flow; Navier-Stokes equations; Nonlinear system; Existence theorem; Schauder fixed point theorem; ROTATIONALLY SYMMETRIC FLOW; LAMINAR BOUNDARY-LAYER; NON-UNIQUE; SOLUTIONS; VISCOUS-FLUID; SWIRLING FLOW; ASYMMETRIC FLOW; VERTICAL; PLANE; STEADY FLOW; DISK; EQUATIONS; Mathematics, Applied
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.
Zeitschrift Fur Angewandte Mathematik Und Physik
"Existence results for coupled nonlinear systems approximating the rotating MHD flow over a rotating sphere near the equator" (2013). Faculty Bibliography 2010s. 3689.