scholarly journals NEW NOCTUAE

1878 ◽  
Vol 10 (3) ◽  
pp. 55-58
Author(s):  
Leon F. Harvey
Keyword(s):  
Half Line ◽  
Outer Line ◽  
Transverse Line ◽  
Basal Half

Agrotis Hilliana, n, s. ♀. All the tibiæ spinose. Allied to perconflua, but much brighter colored and with larger and distinctly annulated stigmata. Bright rusty ochre, shaded with lilac gray. A fine black basal streak reaches to the small black marginal claviform. Base of the wing ochreous,basal half line double, the inner line distinct blackish brown. Sub-basal space washed with lilac gray. Inner transverse line a little oblique, nearly straight with a slight outward curve below submedian vein on the margin, double, the outer line distinct, the inner fades out below costa. Median space rusty ochre; orbicular large, ochreous, with faint internal annulus, oblique, ringed with black; reniform similar in color, upright,very near the exterior line, which commences on the costa just above it. Exterior line lunulate, nearly straight, faintly indicated below costa. Sub-terminal space dark, washed anteriorly with lilac gray, contrasting with clear ochreous terminal space and fringes. Hind wings pale ochreous with faint lunule and double shaded lines. Abdomen above pale ochreous. Thorax rusty and dark. Head and collar pale ochreous.

SOME NEW NOCTUIDÆ

1888 ◽  
Vol 20 (4) ◽  
pp. 69-71
Author(s):  
G. H. French
Keyword(s):  
Posterior Margin ◽  
The Body ◽  
Gray Cast ◽  
Half Line ◽  
White Patch ◽  
Discal Cell ◽  
Basal Half ◽  
Brownish Black

Cucullia Hartmanni, n sp.Expanse 1.75 inches, length of body .75 inch. General color of fore wings pale gray, so suffused in places with dark gray as to give the wings a moderately dark gray cast, but not so dark as C. intermedia, Spey. Lines black, basal half line only indicated on the costa. T. a line double; the inner part almost imperceptible; strongly dentate, from its origin projecting obliquely outward to a strong tooth on the fold in the discal cell, with a short tooth on the fold between the costal and subcostal veins; from discal tooth it receds to median vein a little nearer the body than its inception on the costa; from this it extends out in another tooth nearly twice as far out as the discal tooth, the point resting on the submedian fold, almost reaching the infection of the t.p. line, the points of both lines nearly obsolete in a white patch at this place that fades out into the general color; about the middle of the space from teh median vein to submedian fold a brownish black spur is sent our parallel with the median vein, terminating above the middle of the white patch; the line reaches the posterior margin by another inflexoon on submedian vein, and another outward tooth below the vein.

scholarly journals A NEW HOMOHADENA

1887 ◽  
Vol 19 (1) ◽  
pp. 5-6 ◽  
Author(s):  
G. H. French
Keyword(s):  
Half Line ◽  
Posterior Angle ◽  
Natural Position ◽  
Basal Half

Homohadema Elda, n. sp.Expanse 1.30 inches. Apex very slightly produced, the posterior angle rounded; eyes naked; palpi oblique, projecting beyond the head in their natural position about the width of the eyes; tibiæ unarmed; abdomen equalling the hind wings; covering of thorax mostly scales. Color, warm gray, slightly wine tinted; basal half line black, not very distinct, strongly angulated outward on the subcostal vein, a black basal dash crossing the lower end of this line, the space enclosed between the costa and these two lines sordid white;

NEW NOCTUIDÆ

1876 ◽  
Vol 8 (8) ◽  
pp. 154-156 ◽  
Author(s):  
Leon F. Harvey
Keyword(s):  
Half Line ◽  
Large White ◽  
Basal Half

Eyes hairy; antennæ pectinate. Thorax and wings grayish fuscous, color of trifolii; basal half line white, t.a. line geminate, widely seperated; t.p. line consisting of a series of white points; subterminal irregular, terminal line black. Orbicular spot large, white ringed with dark centre; reniform constricted at the centre, white margined with a dark filling.

NOTES ON NOCTUIDÆ

1874 ◽  
Vol 6 (1) ◽  
pp. 13-16
Author(s):  
Aug. R. Grote
Keyword(s):  
Half Line ◽  
Basal Half

♂ .Antennæ pectinate. All the tibiæ armed or spinose. Abdomen a little flattened. Body slender ; wings ample and wide. Nearest to Agrotis collaris, but with wider wings, and rarger and differently colored. Smooth, Pale brown. Transverse lines even, with coincident pale shades. Basal half-line evident ; on the sub-basal space a pale dot followed by darker scales situate on median nervure.

scholarly journals Linear evolution equations on the half-line with dynamic boundary conditions

2021 ◽  
pp. 1-33
Author(s):  
D. A. SMITH ◽  
W. Y. TOH
Keyword(s):  
Boundary Conditions ◽  
Heat Equation ◽  
Evolution Equations ◽  
Half Line ◽  
Robin Problem ◽  
Dynamic Boundary Conditions ◽  
Transform Method ◽  
Linear Evolution ◽  
Robin Condition ◽  
Linear Evolution Equations

The classical half-line Robin problem for the heat equation may be solved via a spatial Fourier transform method. In this work, we study the problem in which the static Robin condition $$bq(0,t) + {q_x}(0,t) = 0$$ is replaced with a dynamic Robin condition; $$b = b(t)$$ is allowed to vary in time. Applications include convective heating by a corrosive liquid. We present a solution representation and justify its validity, via an extension of the Fokas transform method. We show how to reduce the problem to a variable coefficient fractional linear ordinary differential equation for the Dirichlet boundary value. We implement the fractional Frobenius method to solve this equation and justify that the error in the approximate solution of the original problem converges appropriately. We also demonstrate an argument for existence and unicity of solutions to the original dynamic Robin problem for the heat equation. Finally, we extend these results to linear evolution equations of arbitrary spatial order on the half-line, with arbitrary linear dynamic boundary conditions.

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