Centrifugation was applied to study the transport phenomena in various suspensions of charged colloidal silica particles. Isopycnic focusing of colored density marker beads was used to view the evolution of the density gradient and to determine its steady-state shape from the measured positions of t
The effect of spatial discretization on the steady-state and transient solutions of a dispersive wave equation
β Scribed by Arthur L Schoenstadt
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 703 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0021-9991
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π SIMILAR VOLUMES
In this paper we show that every variational solution of the steady-state Boussinesq equations (u, p, ) with thermocapillarity e!ect on the surface of the liquid has the following regularity: u3H( ), p3H( ), 3H( ) under appropriate hypotheses on the angles of the &2-D' container (a cross-section of
In this paper, following the ideas of Lax, we prove a blow-up result for a class of solutions of the equation & -&x -&+xx -= 0, corresponding, in certain cases, to the development of a singularity in the second derivatives of 4. These solutions solve locally (in time) the Cauchy problem for smooth i
We study the competition model Λut (x, t) -d 1 (x) Du(x, t) where the coefficient functions are strictly positive over the underlying spatial region W except b(x), which vanishes in a nontrivial subdomain of W, and is positive in the rest of W. We show that there exists a critical number l g such t