1,461,520 research outputs found
When is a Stokes line not a Stokes line?
No full textDuring the course of a Stokes phenomenon, an asymptotic expansion can change its form as a further series, prefactored by an exponentially small term and a Stokes multiplier, appears in the representation. The initially exponentially small contribution may nevertheless grow to dominate the behaviour for other values of the asymptotic or associated parameters.We introduce the concept of a higher order Stokes phenomenon, at which a Stokes multiplier itself can change value. We show that the higher order Stokes phenomenon can be used to explain the apparent sudden birth of Stokes lines at regular points, why some Stokes lines are irrelevant to a given problem and why it is indispensible to the proper derivation of expansions that involve three or more possible asymptotic contributions. We provide an example of how the higher order Stokes phenomenon can have important effects on the large time behaviour of linear partial differential equations.Subsequently we apply these techniques to Burgers equation, a non-linear partial differential equation developed to model turbulent fluid flow. We find that the higher order Stokes phenomenon plays a major, yet very subtle role in the smoothed shock wave formation of this equation
Stokes diagnostics of simulated solar magneto-convection
No full textWe present results of synthetic spectro-polarimetric diagnostics of radiative MHD simulations of solar surface convection with magnetic fields. Stokes profiles of Zeeman-sensitive lines of neutral iron in the visible and infrared spectral ranges emerging from the simulated atmosphere have been calculated in order to study their relation to the relevant physical quantities and compare with observational results. We have analyzed the dependence of the Stokes-I line strength and width as well as of the Stokes-V signal and asymmetries on the magnetic field strength. Furthermore, we have evaluated the correspondence between the actual velocities in the simulation with values determined from the Stokes-I (Doppler shift of the centre of gravity) and Stokes-V profiles (zero-crossing shift). We confirm that the line weakening in strong magnetic fields results from a higher temperature (at equal optical depth) in the magnetic flux concentrations. We also confirm that considerable Stokes-V asymmetries originate in the peripheral parts of strong magnetic flux concentrations, where the line of sight cuts through the magnetopause of the expanding flux concentration into the surrounding convective donwflow
Mennine-Stokes Collection; no.07720
No full textSepia image of Theora Smith Ailman posed sitting in chair for a portrait photograph. Image mounted on yellowed matte board.Master file: image/tiff; 82,324 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-15
Shelley Stokes-Hammond interview, 15 September 2017
No full textShelley Stokes-Hammond is the oldest daughter of Louis Stokes. She is a graduate of The Ohio State University and Goucher College. She is a historic preservationist, author and public relations manager at Howard University. This 2017 interview was collected as part of a yearlong, community-wide commemoration of the 50th anniversary of Carl Stokes\u27 election as mayor of Cleveland
Shelley Stokes-Hammond interview, 15 September 2017
No full textShelley Stokes-Hammond is the oldest daughter of Louis Stokes. She is a graduate of The Ohio State University and Goucher College. She is a historic preservationist, author and public relations manager at Howard University. This 2017 interview was collected as part of a yearlong, community-wide commemoration of the 50th anniversary of Carl Stokes\u27 election as mayor of Cleveland
Integral representation of a solution to the Stokes-Darcy problem
No full textWith methods of potential theory we develop a representation of a solution of the coupled Stokes-Darcy model in a Lipschitz domain for boundary data in H-1/2
NAVIER–STOKES EQUATIONS ON THE β-PLANE
No full textMathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navier–Stokes equation on the β-plane with periodic boundary conditions. This equation describes the flow of fluid near the equator of the Earth. The long time behaviour of the solution of this equation is investigated and we show that, given a sufficiently regular forcing, the solution of the equation is nearly zonal. We use this result to show that, for sufficiently large β, the global attractor of this system reduces to a point. Another result can be obtained if we assume that the forcing is time-independent and sufficiently smooth. If the forcing lies in some Gevrey space, the slow manifold of the Navier–Stokes equation on the β-plane can be approximated with O(εn/2) accuracy for arbitrary n = 0, 1, · · · , as well as with exponential accuracy
Mennine-Stokes Collection; no.07730
No full textSepia image of Henry B. Ailman wearing a late 19th century informal suit, posed for a portrait photograph after a recent eye injury. Oval cut image mounted on a yellowed matte board.Master file: image/tiff; 133,179 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-23
The numerical solution of the Navier-Stokes equations for laminar incompressible flow past a paraboloid of revolution
No full textA numerical method is presented for the solution of the Navier-Stokes equations for flow past a paraboloid of revolution. The flow field has been computed for a large range of Reynolds numbers. Results are presented for the skinfriction and the pressure together with their respective drag coefficients. The total drag has been checked by means of an application of the momentum theorem.
Mennine-Stokes Collection; no.07721
No full textSepia image of a Mexican cart with furniture parked outside the bay window of a wood constructed home. A ceramic bowl is placed underneath the tongue of cart. Seen at left is what appears to be an unidentified man standing on the porch of the home. Image mounted on a dark brown matte board. Verso: Written in black ink; "This picture taken in our parlor in front of the night blooming c____ plant the last act before leaving our lovely home forever."Master file: image/tiff; 101,685 KB; Computer Hardware: Intel Pentium (R) 4 3.20 GHz/ 1.99 GB RAM manufactured by Dell; Operating system: Windows XP 2002; Creation software: Adobe Photoshop CS2 version 9.0.2; Scanner: flatbed reflective scanner Microtek 1000XL; Scanner software: Microtek SilverFast Ai 6.4.2r2b; Scanned by Jackie Becker on 2009-10-15
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