In this short note, we describe a steady-state solution of full y comp ress ible convection wh ich cou ld be used for comparisons wit h those obtained with the lat ti ce gas approach. T his solution has been obtained wi th a pse udospectral code. It consists of two steady rolls at a maximum Mach number of 0.60 an d at a maximum Reynolds numbe r of 700 . Slip boundary cond it ions for the veloci...

In this paper we study the behavior of the free boundary ∂{u > ψ}, arising in the following complementary problem: (Hu)(u− ψ) = 0, u ≥ ψ(x, t) in Q, Hu ≤ 0, u(x, t) ≥ ψ(x, t) on ∂pQ. Here ∂p denotes the parabolic boundary, H is a parabolic operator with certain properties, Q+ is the upper half of the unit cylinder in R, and the equation is satisfied in the viscosity sense. The obstacle ψ is ass...

We prove the existence of a solution for the nonlinear boundary value problem u = f ( x, u, u′′, . . . , u ) , x ∈ [0, 1], u(0) = 0 = u(1), 0 ≤ i ≤ m + 1, where f : [0, 1] × R → R is continuous. The technique used here is a monotone method in the presence of upper and lower solutions. We introduce a new maximum principle which generalizes one due to Bai which in turn was an improvement of a max...

about 35 samples were collected from lower and upper parts of the proposed frasnianamennian boundary in three sections of upper devonian marine sediments of the kerman province. the biostratigraphical and geochemical studies indicate that about 45% extinction of brachiopods probably caused by the frasnian-famennian bioevents, which is slightly higher than thr rate of devonian-carboniferous exti...

We prove Reilly-type upper bounds for the first non-zero eigen-value of Steklov problem associated with p-Laplace operator on sub-manifolds boundary Euclidean spaces as well Riemannian products R × M where is a complete manifold.

By using meterological rockets fitted with specially designed analyzers, samples for microbiological investigation have been taken. The analyzer design prevented extraneous microorganisms from penetrating into the analyzer. Before being used, the analyzers were sterilized with high gamma-ray doses. For the first time microorganisms have been detected in the mesosphere at an altitude of 48 to 77...

We consider singularly perturbed reaction-diffusion equations with singularly perturbed Neumann boundary conditions. We establish the existence of a time-periodic solution u(x, t, ε) with boundary layers and derive conditions for their asymptotic stability The boundary layer part of u(x, t, ε) is of order one, which distinguishes our case from the case of regularly perturbed Neumann boundary co...

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.

In this paper, we study stable constant mean curvature H surfaces in R. We prove that, in such a surface, the distance from a point to the boundary is less that π/(2H). This upper-bound is optimal and is extended to stable constant mean curvature surfaces in space forms.