I review the progress that has been made in our understanding of the physics of the upper boundary layer of the Sun, its influence on frequencies of five-minute oscillations , and its role in excitation of the oscillations. I also discuss approaches to seismological diagnosis of the properties of the layer, important information about which will be obtained from MDI high-resolution data.

We show that a minimal disk satisfying the free boundary condition in a constant curvature ball of any dimension is totally geodesic. We weaken the condition to parallel mean curvature vector in which case we show that the disk lies in a three dimensional constant curvature submanifold and is totally umbilic. These results extend to higher dimensions earlier three dimensional work of J. C. C. N...

We consider a semi-infinite material that is initially assumed to be liquid at its melting temperature which, without loss of generality, we assume at 0 C. At time t 0  , a heat flux (characterized by the constant 0 q 0  ) is imposed at x 0  and then solidification ensues, where three distinct regions can be distinguished (for a complete description of this mushy model see [1]): H1) Liquid, ...

Article history: Received 3 June 2015 Received in revised form 20 August 2015 Accepted 11 September 2015 Available online 15 September 2015

This paper generates an exact solution to Burgers' nonlinear diffusion equation on a convective stream with sinusoidal excitation applied at the upstream boundary, x = 0. The downstream boundary, effectively at x = 0% is assumed to always be far enough ahead of the convective front at x = Vst that no disturbance is felt there. The Hopf-Cole transformation is applied in achieving the analytical ...

In this paper we continue the study, which was initiated in (Ben-Artzi et al. in Math. Model. Numer. Anal. 35(2):313–303, 2001; Fishelov et al. in Lecture Notes in Computer Science, vol. 2667, pp. 809–817, 2003; Ben-Artzi et al. in J. Comput. Phys. 205(2):640–664, 2005 and SIAM J. Numer. Anal. 44(5):1997–2024, 2006) of the numerical resolution of the pure streamfunction formulation of the time-...

Mountain waves could be modified as the boundary layer varies between stable and convective. However case studies show mountain waves day and night, and above e.g. convective rolls with precipitation lines over mountains. VHF radar measurements of vertical wind (1990–2006) confirm a seasonal variation of mountain-wave amplitude, yet there is little diurnal variation of amplitude. Mountain-wave ...

This study introduced real life application of first order differential equation. In this paper We basically discussed about different types equation and the solution in field science technology. Further, Newton’s law cooling orthogonal trajectory has been incorporated. Study convective boundary condition it is used for increasing temperature.