On singular semilinear elliptic equations
By: by Aihua W. Shaker
Contributors: Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1991
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Subjects: BARRIERS; BOUNDARY LAYER
Other titles: NPS-MA-91-001.
Description: We study the singular semilinear elliptic equation. This type of equation arises in the boundary      layer theory of viscous fluids. From the results it follows that the equation has a unique      classical solution within a bounded domain omega, where p(x) is a sufficiently regular function      which is positive on omega. Kusano and Swanson gave the existence proof on exterior      domains. In this paper we show via the upper and lower solution method, which is also      referred to as the barrier method, that the equation has a bounded positive entire solution      vanishing at infinity. It is observed by Callegari, Friedman and Nachman that if the partial      differential equations describing the boundary layer behind a rarefaction or shock wave (with      viscosity proportional to the temperature) traveling down, and perpendicular to, a flat plate are      written in terms of a stream function and a similarity variable the following Blasius-type      equation emerges.
Notes: Title from cover.

"NPS-MA-91-011."

"A technical report for period October 1990 - April 1991."

AD A238 784.

Includes bibliographical references (p. 8-9).

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