Convective combustion of aerosuspension of a unitary fuel in a bounded region

1988 ◽  
Vol 23 (4) ◽  
pp. 393-398
Author(s):  
P. B. Vainshtein ◽  
Yu. A. Morgunov ◽  
R. I. Nigmatulin
1981 ◽  
Vol 16 (5) ◽  
pp. 566-569
Author(s):  
P. B. Vainshtein ◽  
R. I. Nigmatulin ◽  
V. V. Popov

2014 ◽  
Vol 13 (08) ◽  
pp. 1450057 ◽  
Author(s):  
Maria-Laura Torrente ◽  
Mauro C. Beltrametti

We consider the problem of deciding whether or not an affine hypersurface of equation f = 0, where f = f(x1, …, xn) is a polynomial in ℝ[x1, …, xn], crosses a bounded region 𝒯 of the real affine space 𝔸n. We perform a local study of the problem, and provide both necessary and sufficient numerical conditions to answer the question. Our conditions are based on the evaluation of f at a point p ∈ 𝒯, and derive from the analysis of the differential geometric properties of the hypersurface z = f(x1, …, xn) at p. We discuss an application of our results in the context of the Hough transform, a pattern recognition technique for the automated recognition of curves in images.


1996 ◽  
Vol 48 (2) ◽  
pp. 225-243
Author(s):  
Alexandru Aleman ◽  
Stefan Richter ◽  
William T. Ross

AbstractFor a bounded region G ⊂ ℂ and a compact set K ⊂ G, with area measure zero, we will characterize the invariant subspaces ℳ (under ƒ → zƒ) of the Bergman space (G \ K), 1 ≤ p < ∞, which contain (G) and with dim(ℳ/(z - λ)ℳ) = 1 for all λ ∈ G \ K. When G \ K is connected, we will see that dim(ℳ/(z - λ)ℳ) = 1 for all λ ∈ G \ K and thus in this case we will have a complete description of the invariant subspaces lying between (G) and (G \ K). When p = ∞, we will remark on the structure of the weak-star closed z-invariant subspaces between H∞(G) and H∞(G \ K). When G \ K is not connected, we will show that in general the invariant subspaces between (G) and (G \ K) are fantastically complicated. As an application of these results, we will remark on the complexity of the invariant subspaces (under ƒ → ζƒ) of certain Besov spaces on K. In particular, we shall see that in the harmonic Dirichlet space , there are invariant subspaces ℱ such that the dimension of ζℱ in ℱ is infinite.


2005 ◽  
Vol 48 (2) ◽  
pp. 135-147 ◽  
Author(s):  
Jack Brimberg ◽  
Hossein Taghizadeh Kakhki ◽  
George Orest Wesolowsky

1989 ◽  
Vol 24 (5) ◽  
pp. 541-548
Author(s):  
V. N. Vilyunov ◽  
A. N. Ischenko ◽  
Yu. P. Khomenko

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